ACID HYDROLYSIS OF REFUSE
U.S. ENVIRONMENTAL PROTECTION AGENCY

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This report has been reviewed by the U.S. Environmental Protection
Agency and approved for publication.  Approval does not signify that
the contents necessarily reflect the views and policies of the U.S.
Environmental Protection Agency, nor does mention of commercial products
constitute endorsement or recommendation for use by the U.S. Government.

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                   ACID HYDROLYSIS OF REFUSE
       This final open-file report (SW-15rg.of)/on work
        performed under solid waste management research
     grant no. EC-00279 to Dartmouth College was written by
      ROBERT D. FAGAN and, except for minor changes in the
introductory pages,  is reproduced as received from the grantee.
             U.S. ENVIRONMENTAL PROTECTION AGENCY
                             1971

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      An environmental protection publication
in the solid waste management series (SW-15rg.of).

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                              CONTENTS
ABSTRACT

INTRODUCTION
1.   SOLID WASTE AND ITS DISPOSAL                                    4
     1.1 Current Disposal Methods                                    4
     1.2 Refuse Composition                                          4
     1.3 Utilization of Municipal Refuse                             8
     1.4 Summary of Alternatives                                     8

2.   THE HYDROLYSIS OF CELLULOSE                                    11
     2.1 The Chemistry of Cellulose                                 11
     2.2 Dilute Acid Hydrolysis of Wood Cellulose                   13

3.   EXPERIMENTAL APPARATUS AND PROCEDURE                           20
     3.1 Kinetic Model                                              21
     3.2 Isothermal Kinetic Study                                   22
     3.3 Acid Injection Bomb                                        25
     3.4 Nonisothermal Kinetic Study                                26

4.   EXPERIMENTAL RESULTS AND ANALYSIS                              29
     4.1 Isothermal Analysis Results                                2/'
     4.2 Non-Isothermal Analysis Results                            31
     4.3 Experimental Analysis Conclusions                          41

5.   PLANT DESIGN                                                   44
     5.1 Separation and Pretreatment System                         46
     5.2 Hydrolysis Reactor System                                  51
     5.3 Concentration of Sugar Solution and Heat Recovery          57
     5.4 Design Calculations                                        61

6.   PLANT ECONOMICS                                                74
     6.1 Capital Costing Procedure                                  74
     6.2 Manufacturing Cost Estimation                              78
     6.3 Manufacturing Cost Analysis                                80
     6.4 The Marketability of a Glucose Solution                    88
                                 iii

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                                                                  Page
7.   GLUCOSE AS A POTENTIAL RAW MATERIAL                            95
     7.1 Monosodium Glutamate                                       95
     7.2 Citric Acid                                                96
     7.3 Butanol                                                    96
     7.4 Lactic Acid                                                96
     7.5 Sorbital and Oxalic Acid                                   96
     7.6 Conclusions                                                97

8.   RECOMMENDATIONS FOR FUTURE WORK                                98
     B.I Metal Ion Effect on Hydrolysis                             98
     8,2 Flow Reactor                                               99
     8.3 General Plant Considerations                               99
     8,4 Sugar as a Raw Material                                   100

9.   SUMMARY AND CONCLUSIONS                                       101

REFERENCES                                                         104

Appendix I      QUANTITATIVE SACCHARIFICATION                      107

Appendix II     SUGAR TEST                                         108

Appendix III    NONISOTHERMAL HYDROLYSIS RESULTS                   113

Appendix IV     COMPUTER PROGRAMS                                  116

TABLES

1-1  Composition and Analysis of an Average Municipal
       Refuse                                                         4

1-2  Municipal Solid Wastes Composition                               5

1-3  Packaging Materials Consumption                                  7

1-4  Alternative Disposal Methods                                   10

4-1  Quantitative Saccharification                                  32

4-2  Carbohydrate Composition of Kraft Paper Pulp                   32

5-1  Material Balance - Representative 250 Ton Plant              63-64

5-2  Evaporator Design Data                                         73

6-1  Manufacturing Cost Analysis                                    79
                                   IV

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                                                                  Page

6-2  Effect of Acid Concentration and Temperature
       on Manufacturing Cost                                        82

6-3  Ethanol Production by Fermentation - Cost Analysis             92

FIGURES

2-1  SUGAR YIELD VERSUS RESIDUAL POTENTIAL SUGAR                    18

4-1  SUGAR YIELD VERSUS REACTION TIME                               30

4-2  LOG (PRE-EXPONENTIAL FACTORS) VERSUS LOG (ACID
       CONG.)                                                       35

4-3  SUGAR YIELD VERSUS NONISOTHERMAL TEMPERATURE  (TIME)            37

4-4  SUGAR YIELD (KRAFT FIBERS) VERSUS NONISOTHERMAL
       TEMPERATURE                                                  39

4-5  PREDICTED ISOTHERMAL SUGARS VERSUS TIME                        42

5-1  SEPARATION SYSTEM                                              47

5-2  REACTOR SYSTEM                                                 48

5-3  EVAPORATION AND HEAT RECOVERY                                  49

5-4  CORROSION RATE OF CARPENTER STEEL                              55

5-5  MATERIAL BALANCE SHEET                                         65

6-1  CAPITAL & MANUFACTURING COST ANALYSIS - REPRESENTATIVE
       250 TON PLANT                                             76-77

6-2  SUGAR COST VERSUS PLANT CAPACITY                               84

6-3  CAPITAL COST VERSUS PLANT CAPACITY                             85
                                  v

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                                ABSTRACT







     To recover some of the value of municipal solid waste, a new dis-




posal process was studied which uses the cellulose portion of refuse,




mainly paper, as a raw material for the production of sugar by acid




hydrolysis.  Experiments to predict the sugar yield were performed,




and the resulting information was used in the design of a proposed




hydrolysis plant to establish the economics of the system.




     A sugar yield of 51% is predicted with 1% acid at 230°C.  With




this yield it is concluded that sugars from the hydrolysis plant can




be produced at costs competitive with molasses sugars.  This conclusion




is valid for municipalities with populations greater than 200,000,




producing refuse containing 50% paper, or populations of 100,000 pro-




ducing refuse containing 60% paper.  It is also shown that such sugars




could be used to produce ethanol at a price comparable to the existing




market price.  Refuse disposal by acid hydrolysis under these conditions




might save $600,000 a year for a community of 200,000 people which was




previously disposing of its waste at $3/ton.
                                 - 1 -

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                              INTRODUCTION







     The lowest predicted disposal cost for modern incineration is




$3/ton.     At this rate, solid waste disposal would cost a city of




approximately 200,000 people $600,000 per year.  Andrew Porteous, a




1967 graduate of Thayer School of Engineering, Dartmouth College, pro-




posed a disposal process which would utilize refuse as a raw material.




Porteous' process consisted of hydrolyzing the available cellulose con-




tent of refuse, mainly paper, to sugar.  The sugar in turn could be




used to produce the saleable product of ethanol by fermentation.  His




economic study showed that in some cases such a process would not only




eliminate the disposal cost but make a profit as well.




     Because of the great economic potential of the process, a research




program was established to study the process in greater depth.  Porteous'




economic analysis was based on the assumptions that (1) paper cellulose




would hydrolyze like wood cellulose, and (2) the kinetic model experi-




mentally determined for wood cellulose at temperatures below 200°C could




be used to predict higher yields at 230°C.  In order to test these




assumptions it was necessary to establish new hydrolysis techniques




and perfect quantitative analysis procedures for sugar and cellulose.




The information gained from laboratory work and process analysis was




used to modify Porteous' original process design and reevaluate the




economics of the system.
                                  — 3 —

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                                - 4 -
1.  SOLID WASTE AND ITS DISPOSAL

1.1  Current Disposal Methods
     There are currently just two acceptable means of solid waste
disposal—incineration and sanitary landfill; the former requires a
large capital investment, and the latter, large areas of available
land.  The cost of disposal varies with the area, and ranges from $1 to
$12 per ton with an average value of approximately $4.50 per ton.
1.2  Refuse Composition
     A knowledge of the composition of solid waste is necessary, if any
technological advancement is to be made in the field of solid waste
disposal.  The classification of solid waste by weight and composition
is hampered by its heterogeneous composition and its offensive nature.
Table 1-1 is a breakdown of solid waste by composition derived from a
                  (2)
study done by Bell    in 1963.  Table 1-2 is a compilation of municipal
solid waste composition obtained through the Public Health Service.
     The actual composition of municipal refuse varies with the location
sampled and the season of the year.  Thus it is difficult to arrive at
a set average composition for the country.  Generally, it is possible
to say that paper is the main component of refuse, 40 to 60% by weight,
followed by food waste, and then metal and glass products.  It is
believed that there will be an increasing amount of paper and synthetic
materials produced each year.  A large part of this waste is derived
                                    (3)
from packaging material.  Table 1-3    shows the increasing trend of
solid waste produced from packaging material consumption alone.  An

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                    - 5  -
                    1-1
COMPOSITION AXD ANALYSIS  0?  AN AVERAGE
     MUNICIPAL REFUSE,  ref.  (2)


Approximate
Percent of Analysis


i\ U f^ O — ^ -1 / O - O
Pa 3cr , mixed
T,CGOC and bark
u r a s s
^_> r Vx s i~*
Greens
Leaves , rips
Learner
Rubber
Plastics
Oils, Paints
Linoleum
Rags
Sweepings , street
Dirt, household
Unclassified
Food was res, 12%
Garbage
~ a c s
Nor.combusuibles , 24%
>ie tallies
Glass and Ceramics
^-k s r* s s
t— i .=., .t —
j. U c-c*
Rofus

42.0
2.4
4.0
1.5
1.5
5.0
0.3
0.6
0.7
0.8
0.1
0.6
3.0
1.0
0.5

10.0
2.0

8.0
6.0
10.0
1 "as received"
e basis, moisture

10.24
20.00
65.00
40.00
62.00
50.00
10.00
1.20
2.00
0.00
2.10
10.00
20.00
3.20
4.00

72.00
0.00

3.00
2.00
10.00
Weight
percent
Volatile
Matter

75.94
67.89
__
--
26.74
—
68.46
83.98
—
— .
64.50
84.34
54.00
20.54
--

20.26
—

0.5
0.4
2.68
Organic Analysis of Composite
Percent
Moisture
Cellulose, Sugar, Starch
Lipids (f ats , oils , waxes)
Protein, 6.25N
Grher organic (plastics)
Ash, metal , glass , etc.

Analysis of Composi
Moisture 20
Carbon 28
Total Hydrogen 3
Available Hydrogen 0
Oxygen 22
Nitrogen 0
20
46
4
2
1
24
100
.73
.63
.50
.06
.15
.95
.00







te Refuse, As Received Basis
.73
.00
.50
.71
.35
.33
Sulfur 0.16
Non Com. 24.93
Ratio C: (H) 39.4
Btu/Lb. 4,917
Btu, dry 6,203
Btu, M and AF 9,048







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                       -7-
                 Table 1-3

       PACKAGING MATERIALS CONSUMPTION
                      (Ref. (3) )


                         MILLIONS OF TONS
MATERIAL                  1966      1976


 Paper & Paperboard       25.2      36.9

 Glass                     8.2      11.9

 Metals            ,        7.1       8.4

 Wood                      4.1       4.4

 Plastics                  1.0       2.5

                          45.6      64.1

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accurate study of waste composition is necessary before a municipality




can make a reliable decision on what method of disposal would be most




economic for its community.




1.3  Utilization of Municipal Refuse




     Since paper is the main component of waste, it is desirable to




devise recycling processes using paper as the raw material.  Porteous




suggested a process which would convert the cellulose portion of paper,




approximately 75%, to glucose by means of sulfuric acid hydrolysis.




The basis for the hydrolysis is that cellulose is a polymer composed




of individual glucose units.  The glucose can be used as a raw material




for fermentation to ethyl alcohol.  In this manner, the bulk of the




refuse is converted to a utilizable raw material, which can be sold to




cover the disposal cost of the residual waste.  Since the residual




waste is inert, it can be disposed of at a lower cost than can the raw




refuse.  Porteous' preliminary study showed the process has an economic




advantage over all other existing means of disposal, thus warranting




further study.




1.4  Summary of Alternatives




     Table 1-4 summarizes the available disposal methods and their re-




lated disposal cost.  Incineration and sanitary landfill are the only




disposal alternatives open to most cities.  Since land is becoming more




scarce, the cost of sanitary landfill will continue to increase for




many municipalities.  Although heat recovery systems and other techno-




logical improvements in incineration will help cut cost, there will




always be some associated disposal cost.  With this as a basis, it is

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                                 - 9 -
   Method


Open Burning

Sanitary Landfill

Incineration


Composting
          Table 1-4

ALTERNATIVE DISPOSAL METHODS


          Comments


    No longer legal

    Requires large land areas

    Must contain antiair
    pollution devices

    Little available market.
    Depends on dumping fee
Cost $/Ton
  1-12
  3-7
                                                               2-7

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                                 - 10 -
seen that refuse will have to help pay for its own disposal cost.  Using




refuse as a raw material for the production of sugar by acid hydrolysis




is one such attempt at accomplishing this goal.

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 2•   THE HYDROLYSIS OF CELLULOSE






     The concept of hydrolyzing cellulose containing materials



 to  sugar is not a new one,  Meiler and Scholler  ' in 1923



 studied the acid hydrolysis of cellulose dextrine an-.i the first



 plant to convert wood to sugar with subsequent fermentation was



 built in Germany just prior to World War II.  This plant was



 built to offset the ethanol shortage which existed during that



 period.  The principal research conducted in the U.S. was by



 Saeman^ '  who was contracted by the War Production Board during



 World War II to develop a practical process for producing



 ethanol from wood waste.  Saeman's work established the kinetic



 model which describes the hydrolysis of cellulose in dilute



 acid solutions.



 2•1  The Chemis; try_o_f Cellulose



     Cellulose is a fibrous tissue found in the cell walls of



plants and trees.   It is a polysaccharide composed of long



chains of  glucose units, a six carbon carbohydrate,  connected



at hydroxyl groups,  glycosidic bonds.
                OH
                                — o
                          \ OH
                           -11-

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                             -12-
      The other  polysaccharides which  are  found  in  the cells  of



 plants are  called  hemicelluloses.  They are unrelated to cellu-



 lose and consist of  pentose units, a  five-carbon carbohydrate.



      Cellulose  is  the main component  of paper and  the amount of



 cellulose in  the paper varies with the grade of paper produced.



 The  pulp used for  naking paper is prepared from wood by choiaical



 or mechanical treatment.  This treatment  breaks down the wood



 fibers,  eliminating  the lignin and most of the easily destroyed



 hemicellulose.  The  main methods of pulping, with  their result-



 ing  cellulose contents are:  Sulfite  86%, Kraft 80%, and me-



 chanical 50%.   The exact amount of cellulose in any given type



 of paper depends on  which pulp or pulps are used and the amount



 of filler which is added to the paper.  The amount of cellulose



 in paper ranges from approximately 95% in rag paper to 50% in



 newspaper.



      Cellulose  and hemicellulose undergo  the following hydrol-



 ysis  reactions  with  acid acting as a  catalysis:




            ACID
  Cellulose 	>Hexose 	> decomposition products acids





  Hemicellulose 	> Pentose	>decomposition products furfural





 The  hydrolysis  reactions can be either homogeneous or hetero-



 geneous,  depending upon the acid concentration of  the solution.



 Hemicellulose is an  easily hydrolyzable material which will



 yield mainly  the pentose, xylose, which upon further reaction



 produces  furfural.   The more stable of the two, cellulose,



•upon  hydrolysis yields glucose, which subsequently decomposes



 to hydroxymethylfurfural and finally  levulinic and formic acid.

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                            -13-
      In its  natural  state,  cellulose  is  not only  linked by



 glycosidic bonds  but by  hydrogen bonding in a  crystalline



 lattice.  Cellulose  is soluble  in  concentrated solutions of



 72%  sulfuric,  85%  phosphoric, and  45% hydrochloric  acid.  In



 such solutions  the hydrolysis reaction is  first order homo-



 ceneouo and  due to the low  reaction temperatures  proceeds with



 very little  decomposition of the sugars.   A process based upon



 high acid concentration  would give high  yields  of sugar, but



 the  high cost associated with using large  amounts of acid



 places  the process in an undesirable economic  state.  Dilute



 acids,  less  than  2%, can be used if the  reaction  temperature is



 increased.   This reaction is heterogeneous, since the crystal-



 line state of the  cellulose remains intact.  The  exact kinetic



 mechanism of the reaction is not known but the  results have


                                 Kl      K2
 been modeled with  a  standard  A 	> B ——) C   irreversible



 reaction rate model.  Sulfuric and hydrochloric acid with their



 high ionization coefficients are the best  catalysis for the



 reaction since  they  give the highest ratio of rate of formation



 to rate of decomposition of sugar.  Sulfuric acid is usually



 preferred for use  since  it is easier to handle  and less costly



 than  hydrochloric acid.



 2.2   Dilute Acid Hydrolysis of Wood Cellulose



      Porteous'   original process^)  for waste disposal by cellu-



 lose  hydrolysis was based on a kinetic study performed by



 SaemanC?) on wood.  Saeman attempted to show that the hydrolysis



of wood cellulose in dilute sulfuric acid could be described by

      Kl   K2,                                         Kj.
an  A —> B —•* C  consecutive reaction with cellulose 	>

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                            -14-
                 K2
reducing sugars  —-> sugar decomposition products.  Saeman

performed his experiments in sealed glass bombs heated by

direct steam in a rotating digester.

     The rate constant for the decomposition of the sugars, K2,

was determined by reacting sugar solutions in the glass bombs

at temperatures from 170° to 190°C with acid concentrations

from 0.4 to 1.6%.  The decomposition of both hexose and pentose

sugars was studied and it was found that glucose, the main

component of cellulose, was the most stable.  Plots of the

logarithm of the residual sugar concentrations versus reaction

time gave straight lines.  Since the integrated equation of a
                                —X "iT
first order reaction is, B = B e *2 / the logarithm of the

concentration,  log B = log BQ - K^T ,  will give a straight

line with the slope equal to K2•  Saeman's results, therefore,

showed that the reaction was first order.  The results of this

experimentation are summarized in the following empirical

equations taken from Saeman's work.

          Rate Constants for Sugar Decomposition

                                .32.700
      K2  =  1.86 x 1014 C1'02 e   R1?                       

                                -32870
      K2  =  2.39 x 1014 C1'02 e   K^                      (2)

with  C = concentration of acid

      R = 1.98 cal/g mole deg. K

      T = Temp. deg. Kelvin

     Equation (1)  was derived by measuring the residual reducing

sugar content of the solution and equation (2), by measuring the

residual fermentable sugar content.  Since sugars act as a re-

ducing agent,  a simple analysis for sugar is a test of the

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                             -15-
 rcducing power of  the  solution.  Although valid when  degraded



 sugars  are not present,  it  gives false values when degraded



 sugars  are present.  This is  explained by the additional  re-



 ducing  power  of the  first oxidation  state of glucose.  The only



 reliable measure is  based on  equation  (2) which is calculated



 with a  test specific for glucose.  This equation was  derived



 using a pure  homogeneous glucose solution and is only a means



 of  approximating the reaction rate for the actual decomposition



 of  sugars  in  the presence of  wood cellulose.



      The rate constant for  the formation of sugar from cellulose,



 K]_,  was determined by reacting ground samples of Douglas  fir



 wood with  a dilute acid solution in  the heated glass bombs.



 After a measured period of  time the  vessels were quenched and



 analyzed for  the unreacted  wood cellulose content.  Since wood



 is  not  entirely cellulose and no direct measure of cellulose



 content is possible, an indirect method of quantitative sacchari-



 fication was  employed to measure the cellulose content.  The



 unreacted wood  cellulose, referred to as the residual cellulose,



 was  washed free  of the dilute acid-sugar solution and reacted



 under conditions which gave quantitative yields of sugar without



 sugar decomposition.  Consequently the quantitative saccharifi-



 cation  procedure described  in Appendix I uniquely measured the



 residual cellulose of the sample.   Obviously when the quanti-



 tative  saccharification is applied to an unreacted sample of



wood, it determines the original cellulose content of the wood,



which is referred to as the potential sugar yield of the sample.



When the quantitative saccharification is  applied to a reacted



 sample of wood  (residual),  it gives  the remaining cellulose con-



 tent which is  referred to as the residual  potential sugar yield.

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                              -16-
 The  rate  constant,  K,, was  then determined by plotting the



 logarithm of  the  residual potential sugar  (urireacted cellulose)



 as a function of  reaction time.  Again straight lines occurred,



 indicating the  first  order  kinetics of this reaction.



      The  Douglas  fir  wood samples were hydrolyzed under the




 same temperature  and  acid conditions used for determining the



 decomposition of  glucose.   The effect of particle size was



 studied by hydrolyzing particles from 1/200 to 1/20 of an inch.



 It was found  that with particle sizes greater than 1/20 of an



 inch, there was a mass transfer effect which slowed down the



 hydrolysis reaction.  Subsequent experiments were performed



 with 1/30  of  an inch  particles.  Liquid to solid ratios, wt/wt



 basis, of  5 to  1, 10  to 1,  and 20 to 1 were tested.  The re-



 sults of  these  tests  indicated that the rate of reaction in-



 creased as  the  liquid to solid ratio increased, but that the



 effect was  minor  when compared to the effect of acid concen-



 tration and temperature on  the reaction.  Saeman derived the



 following  empirical equation for K-,  from this experimentation.





   K!  =   1.73 x  1019 C1'34 e-42900/RT                      (3)





      Saeman indicated that  this reaction rate constant was only



 valid for  the crystalline or resistant portion of the cellulose



 in the wood.  Amorphous or  easily hydrolyzable cellulose in the



 wood decomposed before the  reaction temperature was reached and



 this reaction, since essentially instantaneous, was not included



 in the analysis for Kj_.  He proved this assumption by hydrolyz-



 ing amorphous free cellulose and showing that the obtained sugar



yields could be described by equations (2)  and (3)  and the



A—>~B —>C   reaction model.

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                              -17-
      The high activation energy of rate constant  !<-]_  indicates

 that although it was derived for a heterogeneous solid-liquid

 reaction, the reaction is not mass transfer controller5.   The

 higher the activation energy, the more temperature dependent
 the reaction is.  Since diffusion is  not so temperature  de-

 pendent, it is concluded that the reaction is not diffusion

 controlled.
                  Kl   K2
      With the  A — > B — > C  irreversible reaction, as  the

 reaction proceeds,  the cellulose concentration,  A, decreases,

 the decomposed products concentration,  C,  increases, and the

 glucose yield,  B,  goes through a maximum.   This  yield  of in-

 terest is that of  glucose,  the maximum value of  which  is given

 by
             Kl   f  K2 \          in K2/K2
    Bmax  "  K   +    =    at
 This  equation  is derived  from the  integrated   equations  for

 the reaction in section 3.1.  Since  the  empirical  equations

 (2) and  (3) for K^  and K^  show  that  K-,  will  increase  faster

 than  ¥.2  with an increase in acid concentration or  temperature,
 the maximum yield of glucose, equation  (4) ,  should also increase
•with  these  conditions.  This was shown  by Saeman  in his  origi-

 nal work ^ ' to be true over the range of 170 to 190°C.  On this
 basis Porteous extrapolated Saeman 's data to 230°C with a 0.4%

 acid  concentration, and predicted a yield of 55%.  Figure 2-1

 taken from a more recent publication of  Saeman 's work'^'  shows

 that a yield of approximately 47% was obtained  under these con-

 ditions.  There was no explanation of the discrepancy between
 the predicted  and experimentally obtained results.

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                                   -18-
                              Figure  2-1


           SUGAR YIELD  versus  RESIDUAL POTENTIAL  SUGAR
^N
                          iirf
                                                   L.'l


   -50

                                                     .;:. • :  i v :.:  ;•;••,.- -. :-
                                                     .;.L'.|- .!:.:•!.: :..-.:! ..;••;-_
     !OO  SO   GO
1C   b     6
                          RESIDUAL R—'IMTIAL SU&AK._(%GP INITIAL^)

-------
                           -19-
     Saeman's empirically derived results only hold for the



crystalline portion of cellulose and most cellulosic material



contains both amorphous and crystalline cellulose.  £aeman also



found that cotton cellulose decomposed at a rate different from



that of wood cellulose.  The rate of hydrolysis of paper cellu-



lose, especially at higher temperatures, therefore, cannot be



strictly inferred from Saeman's work since its crystalline



structure may be modified both by the paper making process and



any pretreatment performed in the hydrolysis process.   The



kinetics and yields associated with paper cellulose hydrolysis



had to be found experimentally before a hydrolysis process for



refuse paper could be designed.

-------
 3 "  EXPErUMECTMA.AATUSAND PROCEDURE
     An experimental program was established to determine the



ultimate potential of refuse hydrolysis as a solid waste dis-



posal process.  Since Porteous based his preliminary economic



study on an extrapolation of Saeman's kinetics for wood cellu-



lose, it was necessary to determine whether such an assumption



was valid.  If it were found that paper hydrolyzed at a dif-



ferent rate than wood cellulose, then a model for paper hydrol-



ysis would have to be determined.  Although it was not necessary



to determine exactly what reaction was occurring/ a model for



predicting the yield under various conditions of hydrolysis



had to be found.  Such a model was necessary for the design of



the hydrolysis plant and the determination of the most econom-



ical operating conditions for the plant.  Once this information



was obtained, the total economics of the system could be de~



terrnined t



     The .laboratory apparatus had to contend with the high



temperature (>22Q°C), high pressure (>400 psi) , and the cor-



rosive atmosphere anticipated for the process.   Moreover, the



fact that the yield of glucose reached a maximum in a short



time made the design of a reliable laboratory procedure very



difficult.



     A quantitative saccharif ication procedure which would



completely hydrolyze cellulose to glucose without decomposition



products is found in Reference 9 arid summarized ,\n Appendix I,



This experimental analysis is based on initial  high acid con-



centration, 72%  H2S04/ to dissolve the cellulose at room
                             -20-

-------
                            -21-





 tcrrrocraturc,,  followed by  treatment with  diluted  4%   ^SO^  at



 an  elevated temperature.  This procedure determines  the poten-



 tial glucose  in any cellulosic material  such  as  refuse,  and is



 essential in  any kinetic  study since  the original amount of



 cellulose must be known before the kinetic  parameters  can  be



 interpreted.  The glucose inaiyses were  performed with an



 C-toluidine colorirr.etric test described  in  Reference 9 and



 modified by Dr. Sanka, Mary Hitchcock Memorial Hospital, Hanover,



 N.K., for work in blood and urine sugar  analysis.  This  test is



 outlined in Appendix II.  It is a micro  test based on  the  spe-



 cific reaction of aldohexoses with 0-toluidine in accordance



with Beers Law.



 3.1  Kinetic Model



     SaemanC?) showed that the hydrolysis of the resistant



wood cellulose is described by an  A —1—> B —^—> C   reaction



governed by the following equations.   (A = cellulose,  B =



glucose, C = decomposed sugar).





              =  K1CA
         TT~  ~  "^P^R + K->Ca
         31               "*- "•



Integration of (5)  and (6)  gives




    CA    _   -Ki6
    CA
     A0
          =  e   -                                         (7)
                   (e-Kl9  - e'1
^o





CB (MAX)


 CA
  A0
                                                         (9)

-------
                            -22-
            £nKo -
     6*  =   	f	
                                                          (10)
             K2 - KI


where   CA   =  concentration of A


        C,   =  initial concentration of A
         A0

         6   =  time


         6*  B  time to max yield of B


         Kj_  =  reaction rate constant for A to B reaction


         K2  =  reaction rate constant for B to C reaction


     The classical experimental approach for determining rate


constants was used by Saeman.  He assumed isothermal conditions


for the reaction and that the heat up and cool down time for


his glass vessels would be negligible when compared with the


raction time for temperatures below 190°C.  The amount of


original and subsequent cellulose was determined by a quanti-


tative saccharif ication.  Thus, by reacting the cellulose for


various lengths of time, the log of the cellulose concentra-


tion versus time could be plotted and the first order rate


constant  K-j_  determined.  The same procedure was used to de-


termine the first order reaction rate constant  K2  with the


cellulose replaced with a known concentration of glucose.


     Saeman 's experimental equipment limited his reaction tem-


perature to a maximum value of 190 °C, but extrapolation of


Saeman 's results indicated that a higher yield could be ex-


pected at higher temperatures.


3.2  Isothermal Kinetic Study


     The first experimental procedure was designed to determine


if Saeman ' s data could be extrapolated to temperatures above


190°.  It was thought that a simple approach to this problem


would be to assume that Saeman 's empirically derived equation (2)

-------
                            -23-
 for  the  decomposition  rate of glucose would hold  for  higher


 temperatures.  Therefore, knowing  the original  concentration


 of cellulose  from a quantitative saccharification  ¥-2  from


 equation (2)  and the yield of glucose versus  time from  experi-


 mentation,  it would be possible to determine  K^   by  a  trial


 and  elrrOl: solution InVdlviricJ equation1  (B) .  If  the de'teTmirieu


 values of   K^  were the same as those predicted by Saeman's


 empirical equation  (3), it would be concluded that the  hydrol-


 ysis of  paper cellulose is the same as the hydrolysis of wood


 cellulose and Saeman's empirical equations would  be valid for


 such work.


     Initial kinetic studies were  performed in  1"  x 4"  stain-


 less steel  (316) nipples capped and sealed with Teflon  tape.


 The reaction  temperature was obtained by placing  the  reaction


 vessels  into a high temperature oil bath.  A  temperature-time


 history was recorded by sealing a  chromel-alumel  thermocouple


 in one of the vessels.  A number of preliminary tests gave in-
   i

 consistent results with very low yields.  Since it was  thought


 that the acid was reacting with the vessels and causing lower


 than expected yields, a 25 x 100 mm glass culture  tube was


 placed in the stainless steel vessels.  This  alleviated the


 corrosion problem and increased the measured yield by 300%.


A new temperature-time curve was recorded and all remaining


tests were made using the glass liner.  0.2 gr brown paper bag


samples were prepared by cutting up the bag into approximately


1/10" squares.  The samples were placed in glass culture tubes


and 5 ml of  0.5 percent sulfuric acid solution was added.  The


glass tubes  were then sealed in the stainless  steel vessels

-------
                            -24-
and placed in the constant temperature bath for a measured

period of time.  At the end of this time the vessels were

quenched in ice water, and analyzed for glucose content.  The

heat of reaction for cellulose decomposition is approximately

10 K cal/g-mole.  Therefore the adiabatic temperature rise was

calculated to be 2°C under the experimental conditions used

in this study.  However, the conditions are far from adiabatic;

hence the error in neglecting heat effects of the reaction was

certainly less than 2°C.  An experimental temperature-time

trace indicated isothermal conditions after an initial heat-up

period, the reactor temperature being a constant 4°C below the

indicated bath temperature.

     A corrected isothermal reaction time was determined as

follows

   fcl  = . "4 - fc3 - V2 t4

where:

   tj_  =  reaction time used in kinetic calculations

   t-2  -  time that sample resides in bath

   to  =  time to heat sample from room temperature
          to 170°C in the bath, as determined from
          a heat-up curve

   t«  =  time to heat from 170°C to final bath
          temperature

     The main cause of error in kinetic calculations Was the

time to heat the sample from 170°C where the reaction rate

first becomes significant, to the final temperature.  This

heat-up time was found to be between 2 and 3 minutes;  thus

for temperatures above 210°C and reaction times approaching

3 minutes,  the error due to heat-up was very large.

-------
                              -25-
 3.3  Acid  Injection  Bomb


     The isothermal  kinetic analysis based on the results of


 the  experimental procedure outlined in Section  3.2 was  in error


 due  to the  time necessary for the bombs to reach isothermal


 conditions.  It was  believed that this error could be elimi-


 nated by building an acid injection bomb system.  Such  a system


 was  constructed using a 2" x 4" SS-316 pipe with a glass liner


 as the reactor.  The reactor, charged with 150 ml of water and


 0.5  grams of paper,  was heated in a high temperature bath until


 it reached  the desired temperature.  The hydrolysis was ini-


 tiated by injecting  1 ml of acid through a three way ball


 valve by nitrogen pressure.  After a measured period of time
                                                            s

 a sample was drawn off and flashed to room temperature.  It


 was  found that the reactor required more than two hours to


 reach isothermal conditions and that during this time the


 paper had undergone  thermal degradation.


     The initial paper-water charge volume was kept large


 compared to the injected acid volume to prevent the lower


 temperature acid from cooling down the reactor.   Using less


 than 1 ml of acid solution would result in large error in the


 final desired acid concentration,  due to  transfer losses in


 the valve and tubing.  Although a smaller reactor volume would


have a shorter heat up time,  the required high volume ratio


and lower limit on the injected acid volume prevented the use


of such a system.   An attempt to circumvent the  thermal de-


gradation was made by injecting a  fine paper  slurry into the


reactor.   The reactor was  charged  with 150  ml of 0.5% acid


solution and brought to the  desired  temperature.   5 ml of

-------
                                -26-





watcr with 0.1 gram of powdered paper was then injected into



the reactor.  it was found that the paper failed to pass freely




through the valves and tubing into the reactor.  The modifi-



cations necessary to allow such operation precluded its use



for such experimentation.




3 •**  Nonisothermal Kinetic Study



     Due to the difficulties of obtaining an isothermal system,



a new approach to the problem was attempted.  It was believed



that a non-isothermal kinetic analysis could be performed by



means of a modified curve fitting routine.  It was assumed that



the proposed  A —=^-> B —=-> C  kinetic model was valid and that



the rate constants followed Arrhenius'  equation,  K = Ce~A^'   .



There are then at a given acid concentration four parameters,



the two pre-exponential constants (C's) and two activation



energies  (AH's), which had to be calculated to determine the



overall kinetic model.  The following method was used to de-



termine these parameters.



     A sample of paper or refuse which had been run through a



Wiley ball mill to produce 2 mm particles was placed in a glass



culture tube with a specified amount of acid solution.  This



vessel was placed in a 1" x 4" stainless steel nipple and



sealed.  The cap of the nipple was taped with a 1/4" N.P.T.



such that a Swagelock thermocouple well connector could be



screwed into the cap.  The thermocouple well consisted of a



1/4" stainless steel tube coated with Teflon tape.  A chromel-



alumel thermocouple was placed in the well,  which had been



previously filled with oil, to measure  the liquid temperature



within the vessel.  This vessel was placed in a constant tem-



oerature bath which had been set at 260°C.  A constant record

-------
                                   -27-
 of 'chc temporaturc-time history was kept by use of a thermo-




 couple! chart recorder.   Samples were removed from the bath




 at various  intervals  of temperature, quenched in ice water, and




 analyzed  for sugar content.   Six to eleven samples were used




 for each  acid concentration  run,  and at the start of each acid




 run a  sample quenched when the  temperature reached 180°C was




 analyzed  for both  sugar and  residual potential sugar (cellulose)




 content.  The data obtained  from such a procedure consisted of




 1)  quantitative  potential sugar (cellulose content)  at 180°C,




 2)  sugar  yield at  intervals  of  temperature,  and 3)  temperature-




 time history.  The differential equations  which describe such




 a  system  are:



    ^ 7^


    ff   =  K,A(t)                                            (11)
    a u       .1.



    3B
                 - K2B(t)                                   (12)

    0 t



where  A   =  concentration of cellulose



       B   =  concentration of sugar




       Kl  =  C1e~AHl//RT  =  rate constant 1


                 -AH9/RT

       K2  =  C2e         ~ rate constant 2



       R   =1.98 cal/g deg. K



       T  -   deg. Kelvin



       t  =   time



     With calculated initial conditions on A and B at 180°C, a




temperature-time function derived from a 4th order polynomial




curve fit for the data, and values, for C-j_, AHlr C2, AH2, equa-




tions (11)  and (12)  could be numerically integrated for the



sugar yield as a function of time.   It was necessary to search




for the values of Cj_, AH]_,  C2,  and AH2  which resulted in yields

-------
                             -28-





of sugar which best agreed with those obtained experimentally.



Once such  parameters were determined from the non-isothermal



analysis, the kinetic model could be used to predict the yield



for an isothermal reaction.



     A Hooke-Jeeves pattern search'  '  and a Runge-Kutta numer-



ical analysis were used to determine tha rata constant para-



meters which minimized the sum  of the square errors between



the predicted and the experimental sugar yields.  Insurance of



convergence was determined by generating hypothetical experi-



mental yields with four given parameters, and using these



yields to repredict the parameters with the previously des-



cribed computer program.  The final sum square error from



this analysis was  1 x 10"^  and convergence was obtained in



120 seconds on a G.E. 630 time-sharing system.

-------
 4.   2XPSRIXZNTAL  RZSULTS AND ANALYSIS






      The  apparatus  and  procedures described .in Chapter  3 were



 used to determine the yields and kinetics of paper hydiolysis.



 It  was found  that an accurate kinetic analysis based on iso-



 thermal conditions  would not be possible.  Reaction half lives



 of  less than  one  minute were expected at temperatures >22Q°C,



 and under such  fast reaction conditions it was not possible to



 build an  apparatus  with a heat-up time small enough to  be



 ignored.  A non-isothermal kinetic analysis was therefore used



 in  determining  the  kinetics of the reaction.



 4.1  Isothermal Analysis Results



      A preliminary  study of acid hydrolysis was performed with



 temperature conditions which were to be isothermal.  Runs were



 made  at bath  temperatures of 200°C,  210°C, and 220°C.   The



 yields of sugar on  a weight sugar/weight paper basis are shown



 in  Figure 4-1.  A kinetic study was performed on this data as



 indicated in  Section 3.1, but it was hampered by an inaccurate



 quantitative  saccharification procedure and the actual  non-



 isothermal state of the system.



     An accurate quantitative saccharification is essential



 since a knowledge of the amount of cellulose in the paper is



 needed to correct yields to a weight sugar per weight potential



 sugar (cellulose)  basis.  This change of base is necessary since



 the kinetic model is for the hydrolysis of cellulose,  and paper



 is not 100% cellulose.   The main difficulties in the quanti-



ta-^_ve saccharif ication were caused  by lack of a suitable  low
                            -29-

-------
             -30-

         Figure 4-1
SUGAR YIELD versus REACTION TIME
15
       TIME
                       20

-------
                             -31-
 ter.iperature  bath  for  the  first  step  of  the  analysis  and  by



 using  too  large a particle  size  in the  procedure.  The time



 necessary  to reach isothermal conditions  also  caused error



 which  could  not be neglected in  a kinetic analysis.



     In  spite of  these difficulties  the data obtained showed



 that paper could  ba hydrolyzed to sugars  and that  the yield of



 sugar  passed through  a maximum as would be  expected  if the



 proposed reaction sequence  held.  Further evidence of such a



 series reaction is that the time to maximum yield  decreases as



 the bath temperature  increases.  The yields, although lower



 than expected, did indicate that further  experimentation was



 justified.   Moreover, at the end of this  series of experimen-



 tation,  a  better  understanding of the hydrolysis reaction and



 related  chemical  analysis was obtained, so  that more  effort



 could be given to  the determination of  the  reaction model



 itself.



 4.2  Non-Isothermal Analysis Results



     The cellulosic materials used for the acid hydrolysis ex-



 periments  were tested quantitatively for  their potential sugar



 yields which  is an indication of their  cellulose content.



 Table 4-1  contains the results of this  quantitative sacchari-



 fication.  These yields represent the total experimental poten-



 tial aldohexose content of the sample.  The fermentable aldo-



 hexose sugars are  glucose, galactose, and mannose.  Table 4-2,



 taken from Reference  (8), shows the expected percent composi-



 tion of  these sugars in Kraft paper.   The main contribution to



 the quantitative sugar yield will come  from glucose.   Glucose



 can be formed from both amorphous and crystalline cellulose.



Mannose and gelactose are mainly derived from non-crystalline

-------
                          -32-
                   Table 4-1
         QUANTITATIVE SACCHARIFICATIONS
     SAMPLE
         YIELD
Weight Sugar/Weight Paper %
Ground Kraft Paper
Ground Kraft Paper

Slurried Kraft Paper
Slurried Kraft Paper

Ground Refuse #1
Ground Refuse #1
Ground Refuse #2
Ground Refuse #2
            86
            84

            84.8
            80.5

            38.0
            38.4
            52.6
            52.6
                  Table 4-2
  CARBOHYDRATE COMPOSITION OF KRAFT PAPER PULP
                                              (8)
          Component

  Glucose Galactose

  Mannose, Arabinose

  Xylose

  Uronic Anahydride
          Percent

            82.4

             7.0

             9.2

             1.4

-------
                           -33-
polysaccharides .  Although the main portion of cellulose in

paper is believed to be in the crystalline form, the exact

amounts of amorphous and crystalline forms are not knc^n.


     Samples of milled Kraft paper, approximate particle size


2mm, were hydro ly zed with 20 ml of 0.2%, 0.5%, and 1% by weight


sulfuric acid solutions.  The yields and temperature time his-


tories are shown in Appendix II.  Selected samples, quenched


when the temperature reached 180°C, were filtered and reana-


lyzed for their potential sugar yield.  In this manner a hy-

drolysis sugar yield and residual potential sugar yield were


known at 180°C.  These yields were then used as the initial


conditions for the 4-dimensional search outlined in Section 3.3.

Arrhenius '  equation was used to relate the rate constant to the

reaction temperature.  The computer program found in Appendix IV


was used to perform the search which determined the pre-exponential


factors and activation energies that would best fit the data for

the 0.5% acid runs.   It was then assumed that these activation


energies could be used for the 0.2% and 1% acid experiments,

thus only requiring a search on the two pre-exponential para-

meters for this data.  The Arrhenius equations for the calculated

values are:

0.2%      K,  =  1.661 x 1019
                              *
          K2  =  2.21 x 1014  *  e-AH2/RT


                          1Q     -AHn/RT
0.5%      K!  =  7.59 x 10iy  *  e   1


          K2  =  2.67 x I0l4  *  e-AH2/RT



 1%       KI  =  2.95 x 102°  *  6-AHl/RT

-------
                             -34-
with
   AH1  =  45127 cals/g mole
   AH_  =  32800 cals/g mole
     In an acid catalyzed reaction the overall reaction rate is
usually proportional to the acid concentration as well as the
reactant concentration.  Although this would normally result in
second order kinetics, the fact the acid concentration is con-
stant allows the rate constant to be expressed as,
    Ki  " K0 C™       C = acid concentration Wt. %
where  K..  is the overall constant  K, , K_  shown above.
     Since the reaction activation energies are the same for low
acid concentrations, the acid effect will be contained in the
pre-exponential factors of Arrhenius equations for K..  and K~/
Pi = pocm  wnere P.  is the pre-exponential of Ki in
         —AHi/RT
K. = p  e   1/   .  A plot of the log of the pre-exponential
 X    K.
factors versus the log of the acid concentration should give
straight lines within the slope of the line.  Figure 4-2 shows
that this relationship held for K,  but not K?.  This result can
be explained, since the actual hydrolysis reaction, K,,  is known
to ba due to cleavage of the cellulose bonds by the hydronium ion
whereas the decomposition of glucose,  K~, is a series of sugar
oxidations which are not. simple hydrolysis bond cleavage.
     These results also showed that at zero acid concentration
and high tempera t'ure a, 230°C, thermal hydrolysis would occur, but
low yields would result since the ration  K,/Kp^ 0.25  is very
small.   This exolains why thermal degradation or hydrolysis
occurred in rhe acid injection system described in Section 3.'3.
     The accuracy of these fitted values was determined by
performing replicate experiments at approximately 230°C.  The
                                                    -4
sum square error of these replicates was  5.362 x 10    with
2 degrees of freedom.  The largest determined curve fit error

-------
2.
                                         -35-
                                       Figure  4-2
            LOG (PRE-EXPONENTIAL FACTORS) versus  LOG  (ACID  CONC.)
            0  F
 J-l.
O.i.
0.3
                                                 0-4
                                                                         0,8

-------
                           -36-
was 3.3 x 10   with 4 degrees of freedom.  The statistical "F"



ratio is therefore 6.15 which is well within the 19.25 "F"



ratio at the 95% confidence interval.  This test shows that



there is not a significant difference between the fit and the



experimental error.  The actual experimental data points and




the predicted curves are shown in Figure 4-3•  Another qu§§-



tion concerning the accuracy of the experimental data arises



from the ice water quench time.  It was found that approxi-



mately 20 seconds are required to lower the reactor tempera-



ture from 230°C to 170°C.  This time would appear to con-



tribute a great deal of error at high temperatures and acid



concentration.   Although this assumption would be true if the



reaction continued at the 230°C rate, it is not true when it



is considered that the temperature is continually dropping, as



is the reaction rate.  Using the reaction rates calculated for



a 1% acid solution, a numerical integration was performed for



a linear drop in temperature from 230 to 170°C with an initial



sugar concentration of 11%.  This calculation revealed that



approximately a 1% loss in yield could be expected due to the



quench.  Since the condition used for this test is the most



severe encountered, the error due to quench time was ignored".



     The reliability of the predicted rate constant parameters



can further be demonstrated by their ability to predict yields



with temperature time curves other than those used for deter-



mining them.  Initial runs with the high temperature bath pro-



duced widely different temperature time curves;  this was



found to be due to convection currents established by the

-------
                                  -37-
                      Figure  4-3
              SUGAR YIELD  versus  NONISOTHERMAL TEMPERATURE  (TIME)
                                                                  2.4 O
/r
A
JJ

-------
Quench
Time
8.6 min.
5.6 min.
6.1 min.
Experimental
Yield
0.30
0.24
0.325
Predicted
Yield
0.30
0.21
0.315
                             -38-                             ///



bath circulation pump.  This problem was remedied by placing

a metal beaker filled with oil in the bath, thus acting as a

buffer between the actual bath convection currents and the test

reactor.  Three of these variable temperature time curves were

used in conjunction with the calculated rate constants to pre-

dict the associated sugar yield curve.  The following yields

were obtained in this manner.


                       0.5%  Acid

          Quench
  Curve

     I

    II

   III


It is seen from these results that the agreement between pre-

dicted and experimental yields is very good.

     Since the proposed hydrolysis plant will operate with a

paper slurry, it was necessary to determine whether a signifi-

cant change in rate constants would occur if fibrous material

were used in place of ground particles.  A sample of Kraft paper

was pulped with water in a standard Waring blender.  This sample

was then dried and 0.5 gram samples were prepared from the fi-

brous sheet.  These samples were mixed with 20 ml of 0.5% acid

producing a fibrous slurry which was then hydrolyzed.  The

agreement between predicted and experimental results, Figure 4-4,

indicates that the determined relationship holds for fibrous

samples as well as ground samples.  It is therefore possible

to predict isothermal yields for plant operations using' a pulped

paper slurry.

-------
                    -39-
              Figure 4-4




YIELD  (KRAFT  FIBERS)  versus NONISOTIIERMAL  TEMPERATURE

-------
                            -40-
     Referring again to Figure 4-3, it is noticed that approxi-



mately 6 to 11% sugar yields were obtained at lower tempera-



tures between 170°C and 180°C.  Saeman's rate constants for



crystalline cellulose indicates that yields of this magnitude,



at low teir.peratures and short heat up, should not be obtained.




It is believed that the discrepancy can be explained by the



different regions of cellulose hydrolyzed.  Saeman's original



kinetic data applied to what was called the resistant portion



of cellulose.  He discovered that when working with untreated



ground wood, all plots of residual potential sugar versus time,



extrapolated back to zero time, gave a value for the potential



sugar yield below that obtained experimentally by quantitative



saccharification.  It was believed that the difference between



the original 66.6% potential sugar and the extrapolated 44% at



zero time was due to easily hydrolyzable amorphous cellulose.



His calculated rate constants, therefore, held only for the



resistant portion of cellulose.  It is believed, from the



hydrolysis of paper results, that it also contains a portion



of easily hydrolyzable cellulose.



     This kinetic study shows that the easily hydrolyzable



portion of cellulose accounts for the sugar yields at low tem-



perature values and that the kinetic parameters estimated here



are for the residual cellulose.  It is not valid to assume tnat



these kinetics only apply to residual crystalline cellulose.



Browning     explains that during hydrolysis, cleavage in the



amorphous regions can cause rearrangement and crystallization



of the amorphous cellulose.  The calculated rate constant-, for



paper hydrolysis may therefore be a combination of rate cor.sta.nts

-------
                            -41-
 for  the amorphous-crystalline cellulose.  The  important point



 is that the model was shown to predict the correct yield under



 /arious hydrolysis conditions.  It is of no great importance



 for  the engineering plant design to determine  exactly what



 reaction is occurring;  it is important to be  able to predict



 rhe  yield under various conditions of hydrolysis.



     The predicted isothermal yields of sugar  from paper cellu-



 lose are shown in Figure 4-5.  For these calculations it was



 assumed that 10% of the original potential sugar yield would



 hydrolyze instantaneously.  This value is based on the experi-



 mentally determined sugar yields of 6 to 11% from the easily



 hydrolyzed portion at low temperatures.  This  curve gives the



 residence times necessary to obtain maximum yield at various



 temperatures and acid concentration.  If the original potential



 sugar content of the paper refuse is known, this curve will



 give the predicted isothermal yields of sugar.



     The original prediction by Saeman for wood that an in-



 crease in acid concentration and temperature causes an increase


 in overall glucose yield is shown to hold true.  10% yield in-



 crease is shown to occur by doubling the acid concentration at



 230°C and a 10 degree rise in temperature results in approxi-



mately a 5% yield increase.



 4.3  Experimental Analysis Conclusions



     It was shown by the experimental analysis that paper



cellulose does hydrolyze to sugar and that the hydrolysis


                                    K n    "K r»
reaction could be modeled by the  A—J->B—2-> C  irreversible



reaction model used by Saeman.   The reaction rate constants

-------
                  -42-
          Figure 4-5


PREDICTED ISOTIIERKAL SUGARS versus  TIME
                                                       I,
                                                       /\


-------
were found to be different from those calculated by Saeman,



but as predicted, they both increased as temperature and acid



concentration increased, with  Kj_  increasing faster  han  ^.



The increase of the ratio  K^/PU  was not as pronounced as



expected,  and the yield of sugar from paper cellulose at



higher temperatures was therefore lower than that predicted



by Saeman.  Porteous originally predicted a yield of 55% with



Saeman1s data at 230°C whereas the calculated kinetic model



predicted a yield of 41%.  This difference is reaction rates



was thought to be due to the amorphous cellulose content of



paper cellulose.  It was also shown that the predicted



reaction rates held when pulped paper fibers were hydrolyzed.



It was therefore concluded that the calculated kinetics could



be used in the design of a refuse hydrolysis plant under iso-



thermal reaction conditions.

-------
5.  PLANT DESIGN



     The information gained from the hydrolysis experimen-



tation was used in the design of a refuse hydrolysis plant.



As much of the non-cellulosic material as possible must be



separated out of the raw refuse, since additional acid solu-



tion would be required for this useless material.  In addition



to separation, the refuse must be pretifeated to produce fine



particle sizes which can be hydrolyzed without mass transfer



slowing down the reaction.  Porteous'  preliminary design pre-



treatraent system consisted of dry pulverization followed by



flotation separation and secondary shredding.  Although tne



heavier metals would be separated out by such a system, the



lighter plastics, bottles, plastic wrappings, rubber, and



any pieces of cut metal entrained in the paper would be car-



ried over to the secondary shredder.  Moreover, secondary



shredding produces particle sizes of approximately one inch



which would result in lower sugar yields due to the lack of



intimate contact of the acid with the paper fibers.  A proven



separation system, used in pretreating waste paper for reuse



as paper pulp, was adapted in place of Porteous' system.  Al-



most complete separation of the above materials would be ob-



tained and the resulting paper slurry would consist of fine



fibers, the size controlled by the pulper operation, which



were proven to be easily hydrolyzable.



     A continuous flow reactor, as recommended by Porteous,



was incorporated in the design with an additional feature of



a cellulose recycle stream.  The experimental results indicated
                            -44-

-------
                           -45-
 t.hat  approximately  25% of the cellulose would not be hydro-



 lyzed and  the recycle stream was used to hydrolyze this resid-



 ual potential sugar source.  Since the experimental - cid  injec-



 tion  reactor showed that cellulose would begin to decompose at



 high  temperatures without acid, the total heating of the  slurry



 is obtained by direct mixing with a high temperature acid stream.



      Porteous designed a multi-stage system to quench the



 reaction and preheat the reactor feedwater stream.  Although



 such  a system allows efficient heat recovery, it does not



 appreciably concentrate the product sugar solution.  A flash



 from  230°C to 100°C evaporates approximately one-quarter  of



 the sugar solution which would only concentrate a 2% sugar



 solution to 2.7%.  In addition, to obtain maximum heat recovery



 the system was designed with four flash stages between 230° and



 170°C.  Since there is hold up in each flash stage, the reaction



 will  continue, and this must be taken into consideration when



 attempting to maintain maximum conversion residence time.  In



 order to overcome these difficulties,  a direct flash was used



 to quench the reaction, and a multi-effect evaporator system



 was designed to concentrate the sugars to a 12% solution which



 is the recommended concentration for ethanol fermentation.



      The proposed hydrolysis plant can be separated into three



 stages of operation:  1)  separation and pretreatment of raw



 refuse,  2)  hydrolysis of cellulosic material,  and 3)  the con-



 centration of the sugars.   The first stage eliminates the



majority of non-cellulosic material while pulping the cellu-



 losic materials.   The reactor system consists  of a tubular flow



reactor  in which  the cellulosic materials are  hydrolyzed to

-------
                           -46-
sugar by addition of sulfuric acid and heated water.  Unreacted



cellulose is recycled after flash cooling and liquid separation.



Following acid neutralization, the final operation of concen-



trating the liquors is performed in a feed forward multiple-



effect evaporator system.  The inputs to the hydrolysis plant



are refuse, process water, sulfuric acid, and lime.  The out-



puts from the system are scrap iron, other metals, plastic



inerts, hydrolysis waste, and a concentrated glucose sugar



solution.  A general plant flow sheet is shown in Figure 5-1



through 5-3.



5.1  Separation and Pretreatment System



     The purpose of the separation and pretreatment system is



to eliminate as much of the unhydrolyzable portion of refuse



as possible and convert the refuse to a pulp slurry for the



hydrolysis reactor.  A system which will accomplish this task



is already in existence.  The paper industry employs such a



system to pretreat waste paper for re-use as paper pulp.  This



system is described in reference (12)  and is the basis for the



hydrolysis plant pretreatment process.



     A diagram of the separation system is shown in Figure 5-1.



The incoming raw refuse is stored in a silo storage hopper.  A



ventilation line connects the storage hopper with the direct



fired heater.   A continuous flow of air is drawn from the



storage hopper to the heater, thus eliminating the odor given



off by the raw refuse while in storage.  The storage hopper



feeds the refuse to a magnetic pulley conveyor which rejects



the scrap iron portion of the refuse and feeds the refuse to

-------
                                                      -47-
                                                                                                     /.
 Id
 \-
 z
 o
 t~
 UJ
in
LL
                                                                                     i/j
                                                                                     i,i

                                                                                     £

                                                                                     "j
                                                                                     u
                                                                                     Of
                                                                                     0
                                                                                     
-------
                      -48-
>
o


-------
-49-

-------
                          -50-
th e hydropulper.  The hydropulper breaks up the refuse and its

"junker" carries out the larger pieces of unpulped refuse, i.e.

tin cans, plastic bottles, non ferrous metals, and unbroken

glass.  A screen trap follows the hydropulper and eliminates

the plastic films and other lighter pieces of trash.  The

dirt and finer pieces of glass are removed in a cyclone §epa-

rator.  Enough water is added to the hydropulper to produce a

2 to 3% consistency slurry which is the recommended consistency


for such an operation.  The pulp is dewatered in a screw press

to approximately 50% by weight water.  At this point the refuse

is ready for the hydrolysis process.

     It was assumed for calculations that the synthetics, glass,

metal, and inert (rocks, etc.) portion- of the refuse will be

separated from the pulp.  This means the pulp will consist of

essentially rubbish (paper, leaves, and wood)  and garbage.  The

pulp quality demands in the paper industry are much more strin-

gent than for the hydrolysis process.  It is therefore believed

that this separation system should be adequate for the hydrol-

ysis process.
Equipment Design Information

  Storage Hopper:

    Standard reinforced concrete.  .Design capacity based

                                                3
    on 3 days storage at approximately 500 Ib/yd .


  Hydropulper System:

    Designed and manufactured by Black Clowson, Middleton,


    Ohio.  Capacities up to 850 tons/day.  Horsepower


    requirements approximately 20 H.P. day/ton.

-------
                           -51-
 5.2  Hydrolysis Reactor System



     Figure  5-2 is a flow diagram for the hydrolysis reactor



 system.  Freshly pulped refuse is passed from the scr.ew press



 into a series of Moyno pumps which bring the pulp to the de-



 sired reactor pressure.  A stream junction at the inlet to the



 continuous flow reactor mixes the fresh pulp with recycled



 cellulose and enough acid solution to reach the required reac-



 tion temperature/ acid concentration, and liquid to solid



 ratio.  The  acid is injected into the heated water stream



 prior to the mixing junction.  After passing through the flow



 reactor, the solid-liquid slurry is flash cooled to quench



 the hydrolysis reaction.  Vapor from the flash chamber is used



 as a heat source in the evaporation system.  The remaining



 slurry is separated in a pressurized continuous flow centri-



 fuge.  The liquid continues down stream while the solid stream



 is partially bled of inerts and cellulose before entering a



 series of Moyno pumps which feed the unreacted cellulose into



 the mixing junction as a recycle stream.



     The hydrolysis reactor was chosen from the three standard



 chemical reactors:  batch,  continuous stirred tank,  and tubular



 flow reactor.  The operations of charging,  discharging, and



 cleaning of the batch reactor require an exorbitant amount of



 time and material handling which result in high cost for large



 scale operation.   Although well suited for  small amounts of



costly reactants,  the batch reactor would be undesirable for



the large amounts  of material processed in  a hydrolysis plant.



     The continuous stirred tank reactor  is not advised for use


         Kl   K2
in an  A	>B -=—) C  series reaction,  since the theoretical

-------
                            -52-
maximum batch yield of B(glucose)  is unobtainable.  This can


be seen when one realizes that a CSTR is assumed to be well


mixed with outlet reactant concentration equal to the bulk


reactant concentration.  An unreacted stream of  A  is continu-


ously added to the outlet concentration.  Therefore the reac-


tion rate is not proportional to the inlet concentration, but


to the outlet concentration.  Reference (13)  presents a graph-


ical display of the maximum obtainable yield and required

                           Ki    K2
volume of a CSTR for an  A—=4 B —=4 C  consecutive reaction


with variable values of  K-^ and K~.  It is clearly shown that


a CSTR gives a lower yield of B, and requires a greater volume


to reach its maximum yield than does a plug flow tubular reactor.


     Variations and combinations of batch, semi^batch, series


CST, reactor configurations are conceivable,  but the most simple


and reliable reactor for the hydrolysis reaction would be the


tubular flow reactor with a recycle stream.  Such a reactor with


plug flow will give the high yield of a batch reactor and the


production capacity of a CSTR.


     The design dimensions of the flow reactor will be a func-


tion of required residence time, through-put (fresh and recycle


reactants), degree of axial diffusion (divergence from plug


flow), and the desired flow velocity.  The residence time is


the time to maximum yield of converted sugar.  The residence


time will be determined by the reaction temperature and acid


concentration.  The through-put capacity of the reactor is


governed by the total refuse handling capacity of the plant and


the amount of recycled cellulose.   The size of the recycled


stream is dictated by the amount of incoming unhydrolyzable

-------
                           -53-
material and unreacted cellulose.  The desired recycle ratio
is ultimately determined from cost considerations.  That is, as
the recycle stream is increased, the manufacturing anc initial
capital cost of the plant will increase as will the product
rate of sugar.  The final design recycle flow will be chosen
as that rate which minimizes the total production cost.
     Divergence from plug flow of the slurry will produce a
lower expected yield and increase the required capacity of
the reactor.  A study of the two phase flow'of wood pulp fibers
is found in References (14, 15, 16).  Such fibers exhibit three
regions of flow with increase in flow velocity.  The laminar
region is characterized by a plug flow of fibers surrounded by
a thin water annulus.  As the velocity increases, the fibers
begin to break up in what is termed the "transition region".
This trend continues until the fibers are completely agitated
in a region of turbulent flow.  The velocity profiles associ-
ated with the flow of pulp fibers cannot be described by a
Newtonian fluid model.  In Newtonian fluids an increase in
velocity results in blunter velocity profiles, whereas  in the
case of pulp,  an increase in fiber flow results in a sharper
profile.  This tendency toward plug flow at low velocities in-
creases with an increase in fiber concentration.   It was assumed
that such a fiber flow will exist in the hydrolysis reactor.
Therefore,  the assumption of plug flow in the reactor will be
valid if the flow velocity is in the range of laminar fiber flow.
The transition velocity will be the limiting velocity which will
produce plug flow.   Although there is no available expression
for calculating this velocity,  it can be obtained empirically

-------
                           -54-
from the curves in Reference  (16) .  The transition velocity
occurs at approximately the same value for a given concen-
tration at various pipe sizes.  For a five percent consistency
slurry the transition velocity is approximately 6 ft/sec.  This ,
velocity is high enough to insure a wide range for the reactor
flow velocity.  Some consideration should be given to sedimen-
tation or settling out of the solids at very low velocities,
but if desired, this effect can be reduced by a vertical flow
reactor.  The optimum velocity will ultimately have to be de-
termined from a pilot plant flow reactor system.
     The material of construction for the reactor must be able
to withstand the corrosive effect of the <1% sulfuric acid so-
lution at temperatures above 400°F.  The selection of a material
for these conditions is hampered by the fact that most corrosion
test data are limited to the boiling point of the acid solution
at atmospheric conditions.  Reference (17)  indicated that the
use of nickel based, nickel containing materials, and high
chromium content stainless steel alloys might be applicable for
such conditions.  Hydrolysis experiments were conducted in
cylinders of Monel, Hastalloy-B, chrome-moly, stainless 316,
and Carpenter 20 alloys.  The hydrolysis in vessels of Carpenter
20 stainless steel gave the highest yield of glucose.  Although
these results did not show a complete study of the corrosion
problem, they did indicate that Carpenter 20 had the best poten-
tial as a material for constructing the flow reactor.  An im-
proved variety of Carpenter 20 designated as No. 20Cb-3 has
been developed.  A corrosion chart for this material, taken
from a Carpenter Steel Co. technical data sheet, is found in
Figure 5-4 .   From this chart it can be seen that Carpenter

-------
                                   -55-
                                 Figure 5-4

                       CORROSION RATE OF CARPENTER STEEL
                        No.  20Cb  and  No. 20Cb-3
A
u
                                        C°c

-------
                           -56-
20cB-3 exhibits very good corrosion properties in dilute H2S04



acid at high temperatures.  For design and cost considerations



it is assumed that the reactor will be made of carbon steel



clad with Carpenter 20Cb-3.'  At a rate of 30 mpy/ one inch



cladding would last for twenty years.





Equipment Design Information



Reactor:



  Tubular flow reactor.  Design pressure 500 psi.



  Carpenter 20Cb-3 cladding



  Plug flow at 1 ft/sec



Flash Chamber:



  Assumed residence time for adequate vapor separation of



  2 minutes.  Constructed of Carpenter 20 steel.  Design



  pressure 150 psi.



Acid Storage Tank:



  14 day design capacity.



  Constructed of carbon steel.



Centrifuge:



  Pressurized (150 psi) continuous variety.



  Recommended - Sharpies Super-D-Canter model with continuous



  screw conveyor for solid separation.  Maximum design



  capacity limited to liquid stream of 350 gal/min.



  Horsepower » liquid flow rate.  H.P. « gal/min.



  Constructed of Carpenter 20 steel.



  Assumed solid moisture content at- discharge of 50%.



Slurry Pumps:



  Recommended Moyno positive displacement.



  Maximum pressure 1000 psi.



  Maximum capacity 500 gal/min.

-------
   Feed pump constructed of steel rotor and housing.
   Recycle pump constructed of Carpenter 20 steel.
Water Pumps:
   Standard steel motorized centrifugal pumps.
Acid Pump:
   Positive displacement controlled volume feed pump.
   Constructed of Carpenter 20 steel.

5.3  Concentration of Sugar Solution and Heat Recovery
     Most processes which use glucose as a raw material require
at least a 6% solution (Torula yeast production) and preferably
a  12% solution (ethanol fermentation) of glucose.  With a liquid
to solid ratio of 20 to 1 the glucose solution leaving the cen-
trifuge will be approximately 2% by weight glucose.  The glucose
solution must therefore be concentrated after leaving the hydrol-
ysis section of the plant.
     An ideal process would perform the required concentrating
while allowing the high temperature stream of water to act as
a  preheat or feed for the hydrolysis reactor.  Two relatively
new processes, as cited in a recent Doctorate thesis^  ', which
are being tested for use in concentrating spent sulfite liquor,
perform the task to some degree.  They are reverse osmosis and
electrodialysis.   Reverse osmosis has proven to be effective in
concentrating liquors to 10% by weight solids.   If the sugar
solution contained only glucose, this would be  a feasible method
of concentration.  The difficulty is that the hydrolyzed solu-
tion will contain,  in addition to glucose,  decomposed sugars
and other large organic molecules from the garbage portion of
the refuse.   Therefore,  the glucose concentration will be

-------
                             -58-
initially 2%, but the total solute concentration may be greater



than 4%.  The upper limit of glucose concentration by reverse



osmosis will be approximately 5% which is below the 12% re-



quired concentration.  Although feasible for the lower limits



of concentration, reverse osmosis, in its present state of de-



velopment, would not be acceptable for most sugar fermentation



processes.  Electrodialysis has been tested experimentally but



as of yet not proven economically feasible on such separation



processes.  Thus at its state of the art, it cannot be recom-



mended as a means for concentrating the sugar solution.



     One proven means of concentration which will allow partial



use of the high temperature stream as preheat is feed forward



multi-effect evaporation.  The proposed evaporator scheme is



shown in Figure 5-3.  The recommended effects are short tube



vertical evaporators.  They were chosen because of their ability



to be cleaned with a minimum amount of effort.



     The liquid stream from the recycle centrifuge is neutral-



ized  by means of lime addition.  The lime is injected in a



slurry form, using an in-line mixer to insure that complete



neutralization occurs.  The lime,  or CaCO3, reacts with the



sulfuric acid to produce water, CaS04/ and CC^.  After neu-



tralization the CC>2 is removed by a gas separation vessel and



the CaS04 which precipitates out of solution is separated by



a pressurized centrifuge.  The operation of neutralization



followed by separation is performed to produce a non-corrosive



solution and to decrease scaling in the evaporators.   Lime is



used as the base because of its comparably low cost.   If the



glucose solution will be used for ethanol fermentation, it may

-------

be advisable to use ammonium hydroxide as the neutralizing
agent.  The ammonium sulfate produced by such neutralization
could then be used as a nutrient for fermentation.
     The evaporator system was designed to make maximum use of
the high temperature of the feed stream.  The upper limit of
preheat for the reactor water feed stream is set by the tem-
perature of the flash chamber quench.  This quench temperature
was 177°C  (350°F) since at this temperature the hydrolysis re-
action will be essentially zero.  The latent heat of the vapor
stream from the flash chamber is used to evaporate the product
stream in the first effect and to raise the temperature of the
direct fired heater feed water stream.  It was assumed that the
vapor from the flash chamber would be free enough of impurities
to be condensed directly in the heater water stream, thus elim-
inating a condenser and fresh feed water.   This assumption was
again made for the vapor formed and condensed in each effect.
     The condensate from each effect (other than the last) is
pumped to the condensing chamber where it is combined with the
flash vapor and make up feed from the last effect's condenser.
This heated stream is passed through the direct fired heater
where it is brought to the required temperature for the hydrol-
ysis reactor.   A bleed off from the preheat stream could be
used to prevent impurities build up if the assumption of clean
vapor is not valid.
     The number of effects used in the evaporation system was
determined by an economic analysis of the  evaporator-heater
system.   That is,  for a given initial and  final concentration
of sugar,  reactor feed water temperature,  and flash condition,

-------
                           -60-
the optimum use of the potential heat source was made to mini-



mize the required capital investment of the evaporator heater



system and the utility cost of heating oil.  It was found that



for initial and final concentrations of 2 and 12%, the optimum



number of stages would be 6.  This optimum number does not vary



with feed capacity, but it will vary with the degree of concen-



tration necessary.  At 4% to 12% the number of stages was de-



termined to be 5.  This increase in initial concentration would



correspond to a decrease in the hydrolysis liquid to solid ratio.



Six effects were used in the plant design and cost estimates;



this would allow one unit to be used in standby if maintenance



problems develop.



Equipment Design Information



Evaporators:



  Standard vertical-tube evaporators.



  Heat transfer area determined by flow capacity.



  Constructed with cast .iron shell and copper tubes.



Condenser:



  Standard shell and tube construction.



  Cooling flow through tubes.



  Constructed of carbon steel.



  Atmospheric pressure.



Condensing Chamber:



  Volume based on 2 minutes residence time.



  Standard steel construction.



  Design pressure 150 psi.

-------
                             -61-
Direct Fired Heater:



  Cylindrical construction.



  Carbon steel tubes.



  Design pressure 500 psi.



In Line Mixer:



  Carpenter 20 steel.



  Nettco Flomix  is recommended (Nettco Corp., Everett, Mass.)



Centrifuge:



  Sharpies Super 0 - Hydrator continuous operation.



  Ordinary steel construction.



  Pressurized at 150 psi.



Pumps - Water:



  Motorized centrifugal pumps



  Carbon steel construction.



Pumps - Slurry:



  Moyno slurry pump.





5.4  Design Calculations



     The basic design calculations were generalized so that a



computer program with variable plant inputs could be written.



The inputs to the program consist of:



  1.  Total plant refuse processed.



  2.  Fractional  input of paper



  3.  Percent cellulose in paper



  4.  Fraction garbage in refuse



  5.  Fraction of refuse separated before hydrolysis



  6.  Fraction of inerts in hydrolysis feed



  7.  Liquid to solid ratio for hydrolysis

-------
                             -62-
   8. Recycle ratio



   9. Acid concentration



  10. Reaction temperature



  11. Time to maximum yield



  12. Chemical yield of glucose.



     The separable portion of refuse was assumed to be that which



can be separated in the hydropulper system  (metals, plastics,



stones, dirt, etc.).  The garbage portion of refuse flows into



the hydrolysis reactor with the paper.  Although the majority



of the garbage, organic plant waste, will be decomposed, it was



assumed that fifty percent would not be hydrolyzed.  This por-



tion would add to the inert portion of the hydrolysis recycle



stream and therefore give a conservative estimate for the re-



actor size and final glucose concentration.  The inert fraction



would include the clay paper additives in addition to the unhy-



drolyzable portion of the garbage.





A. Material Balance  (Appendix IV)



     The following assumptions were made in making the material



balance:



  1)  Specific volume of paper slurry  62.4 Ib/ft



  2)  The liquid content leaving the pre-hydrolysis screw



     press will be 50%.



  3)  66 Be' sulfuric acid (93% H2S04)



  4)  Solid stream from centrifuges will contain 50% moisture.



  5)  Degree of refuse separation described previously in 5.4



  6)  Lime slurry contains 50% liquid.



A computer program print out of a material balance and a gener-



alized flow sheet follows in Table 5-1 and Figure 5-5.

-------
                                -63-


                                Table 5-1

                            MATERIAL BALANCE
                       REPRESENTATIVE 250 TON PLANT
? 250
INPUT FRACTION PAPER,GARBAGE,SEPARABLES IN  WASTE
? .6,.15..25
INPU'l FRATION CELLULOSE  IN  PAPER
? .6
INPUT TIME TO MAX YIELD  IN  KIN
? 1
INPU': CELLULOSE FRACTION  CONVERTED AND SUGAR PRODUCED
? .75,.55
INPUT F3ACT ACID,SOLID 10 LIQUID.REACTION TEMP CENT
? .004,.1,230
INITIAL FRACTION INERTS  0.28125
INPUT II,INERT RATIO FINAL
? .4
DO YOU WANT MATERIAL FLOW BALANCE YES OR NO
? YES
SEPARATION SYSTEM
SEPARATOR
WASTE
WATER
IN
 250
 12500
OUT T/D
 187.5
 375
IN
 10.4167
 520.833
*******«****#**«« *«***#***** *•**##*******##******
*********************************************
FLASK
WATER
IN T/D
 2173.22
OUT T/D
 1917.73
IN T/KR
 90.551
OUT T/HR
 7.8125
 15.625
REACTOR
CELLULOSE
WATER
ACID
SUGAR
D SUGAR
S INFRTS
L INERTS
IN
131 .875
2183.75
9.39247
0
0
52.75
33.75
OUT T/D
32.9687
2173.22
9.39247
79.7844
29.0125
52.75
33.75
IN
5.49479
90.9896
0.391353
0
0
2.19792
1.40625
OUT T/HR
1.3737
90.551
0.391353
3.32435
1.20885
2.19792
1.40625
OUT T/HR
 79.9053
•x-*•>,***-if ****** ************************************
CENTRIFUGE #1
CELLULOSE
WATER
ACID
SUGAR
D SUGAR
S INERTS
L INERTS
•a**** **************gLEED  AND
MATERIAL       BLD-T/D
CELLULOSE       21.0937
S INSRTS        33.75
WATER           54.8437
ACID            9 .62221 E-2
PLUS SMALL AMOUNTS OF SUGAR
IN
1.3737
' 79.9053
0.391353
3.32435
1.20885
2.19792
1.40625
LIQUID OUT
0
76.3336
0.385087
3.17657
1.15512
0
1.34374
                               SOLID STREAM
                                1.3737
                               • 3.57161
                                6.26631 E-3
                                0.147781
                                5.37386 E-2
                                2.19792
                                6.25136 E-2
              RECYCLE*******************
                               TON S/HR
               REC-T/D
                 11.875
                 19.
                 30.875
                 5.41695  E-2
              AND LIQUID INERTS
               BLD-T/HR
                 0.878906
                 1.40625
                 2.28516
                 4.00925 E-3
               REC-T/HR
                 0.494792
                 0.791667
                 1.28646
                 2.25706 E-
*****##******##******####****#*##***##*****

-------
                                 -64-
                      Table  5-1   (Continued)
NEl'TRALIZER
WATER
ACID
CASO4
C02
 LIME
SUG^R
D SUGAR
L INFRTS
IN T/D
 1841 .44
 9.24208
 0
 0
 9.4307
 76.2376
 27.7228
 32.2497
OUT T/D
 1843.14
 0
 12.8257
 4.14951
 0
 76.2376
 27.7228
 32.2497
IN T/HR
 76.7266
 0.385087
 0
 0
 0.392946
 3.17657
 1.15512
 1.34374
OUT T/hR
 76.7973
 0
 0.534406
 0.172896

 3.17657
 1.15512
 1.34374
•S#x*tt************************#***********#********
CENTRIFUGE 2
WATER
CAS04
CO 2
SUGAR
D SUGAR
L INERTS
IN
 76.7973
 0.534406
 4.14951
 3.17657
 1.15512
 1.34374
LIQ OUT
 76.2629
 0
 0
 3.17565
 1.15478
 1.34335
SOL OUT
 0.534406
 0.534406
 0
 9.21027 E-4
 3.34919 E-4
 3.89608 E-4
TON S/ER
**#*************«•************************ ***********

REACT WATER T/HR AT TEMP
 81 .8906 T/HR   244.561 DEC CENT  472.209 DEG F
TEMP TO HEATER DEG F AND C
                 329.809
                 165.45
EVAPORATORS
STEAM FROM FLASH
EFFECT
 1
 2
 3
 4
 5
 6
  USED 2.9652 TONS/HR
VAPOR
 4.86472
 6 . 58 32 7
 7.98176
 9.1766
 10.0442
 10.9322
TON S/HR

-------
5-5
      SUEET
RANT  2-5QT WAs.reA>AX

-------
                            -66-
B. Reactor Design and Recycle Calculation
     The design of the reactor vessel is determined by the flow
capacity, flow velocity, and required residence time.  The total
flow through the reactor is found by a recycle material balance
on the reactor system.
     The recycle calculation is performed on the solid portion
of the refuse.  It is only necessary to consider the cellulose
and inert portion of the stream.  The soluble portion of non-
cellulosic materials and liquid will be separated by the con-
tinuous centrifuge and therefore will not be included in the
recycle loop.
  Let  C}_  =  fresh feed of cellulose  Tons/hr
       1^  =  fresh feed of inerts  Tons/hr
       C2  =  recycled cellulose  Tons/hr
       R.^  =  entering ratio of inerts to cellulose
       R2  =  exit ratio of inerts to cellulose
        B  =  amount of cellulose bled off  Tons/hr
        Y  =  fractional conversion of cellulose
       YI  =  fraction yield of sugar
The final ratio of inerts to cellulose at the exit of the
reactor will be:
           R1(C1 + C2)     R1
     2  ~  Y (G! + C2)     Y
At steady state the amount of inerts entering the reactor will
equal the amount of inerts bled off.
    I,   =  R2'B
A material balance around the bleed point requires that the

-------
                               -67-
   (1 - Y) (C1 + C2)  =   (C2 + B)
           B -  (I-Y)CI
     2         y
     Thus once values for R-j_ and  Y  are set the total amount
of cellulose and inerts in the reactor can be determined.
     The total amount of solid material in the reactor will in-
clude, in addition to the cellulose and inerts, the non-hydro-
lyzable portion of garbage (G) .  Total solids will be:
  S  =  G + C1 + C2 + Ri(ci + C2^
From the solid to liquid ratio, L, the necessary liquid flow rate
is found to be  W = LxS  and the total weight of material will
be  M = S + W Tons/hr.  With the assumed value of 62.4 lb/ft3
the total volumetric flow rate can be determined (Q) .  This
value in conjunction with the residence time  T  determine the
reactor volume,  V = QxT.  The necessary cross sectional area
and length can be found from this volumetric flow,  residence
time, and flow velocity of 1 ft/sec.
C. Energy Balance
     The heat load to the system is a function of plant capacity,
liquid to solid ratio, recycle ratio, reaction temperature, and
preheated feed water temperature.  The first three of these are
directly associated with the required liquid flow stream in the
reactor (W) .   The temperature of this stream (Tj_)  is set by the
reaction temperature.   The preheat temperature (T2)  is calcu-
lated by an energy balance on the flash and evaporator section.
          V.       6   T C  +  PT-
   T2
                       Z  C  + F
                      01  e

-------
                            -68-
Where   V  =  vapor from flash chamber, Ib/hr



        X  =  latent heat of Vapor, BTu/lb.



        W  =  water flow rate to reactor, Ib/hr



       C   =  heat capacity, 1 BTu
       T^  =  temperature from effect  e °F



       C   =  condensate from effect e  —

        e                              nr


       T   =  make up feed temperature  °F



        F  =  make up feed flow Ib/hr



The required heat load to the system will then be




   Q  =   (Tx - T2)WCP



This is supplied by the direct fired heater with oil at

      O rn* <•

1.5E5 —r  with 80% conversion efficiency.
      go. j.




D. Flash Chamber Design



     The amount of material vaporized in the flash chamber can



be determined by an adiabatic enthalpy balance where:  The



enthalpy of the feed equals the combined enthalpy of the vapor



and liquid stream leaving the chamber.





   F HL  =  V HV  +  L HL     enthalpy balance
      i        o        o




      F  =  V + L             mass balance



   F HL  =  V HV  + (F - V)HL
      i        O            O


            WL   HL

      V      i ~  o
      •^  =  ——	f-           fraction flashed

      *     Hv - H;T
             o    o



For a flash from 230°C to 177°C





   ]jf  =  O-11?




     The size of the flash chamber is determined by the cross

-------
                           -69-
                                               (19)

of the chamber is usually between 7 and 12 ft.     < to prevent



splashing and. therefore liquid entrainment.  The allowable vapor



flow rate  (G) lb/hr.ft2  is determined by an empirical correla-



tion based on a decontamination factor,  DF = weight vapor/



weight of entrained liquid.  From Reference  (20) the recom-



mended flow rate for DF » 10,000 at 300°F is 200 lb/hr.ft2.



The recommended flash temperature is 350°F, therefore it is


                                                          (19)
necessary to use the empirical correlation found in Perry


             ,1
        G = Cx   /pi(pA - Pg)



With   G  =  lb/hr.ft2 of vapor



      p   =  vapor density Ib/ft  at flash temp.



      p^  =  liquid density Ib/ft^ at flash temp.



      C1  =  empirically correlated factor



      C1  =  80 at  DP of 10,000



For  T  =  350°F



     G  =  320 lb/hr.ft2



For a total flow rate of 2 x 10  Ib/hr the cross sectional area


                 2                                3
required is 69 ft  and the total volume is 8300 ft .   This volume



will result in a vapor residence time of  ~0.7 minutes.  For the



computer program a residence time of 2 minutes was used to cal-



culate a nominal flash chamber volume.  This will give a con-



servative estimate of the volume required for the preliminary



design.



E. Evaporator Design



     The design procedure for feed forward multi-effect evapo-


                                  (21)
ration systems was taken from Kern    .   In such a design the



temperatures and pressures in the first  and last effects are



fixed.  It is usually assumed that equal areas will be used and

-------
                            -70-
that under such conditions the pressure difference between



effects will be approximately equal.  The.equal area restric-



tion is imposed, partially, because it is less expensive to



build a system with equal area effects.  From these pressures



the saturated liquid temperature can be found.  The actual tem-



perature and pressure drop in the system will adjust itself



during operation according to the actual heat transfer coef-



ficient in each stage.  The steam supply for the first effect



is taken from the flash chamber and the vapor formed in each



effect is used to evaporate the liquor in the subsequent effect.



This liquor will boil at a lower temperature than the condens-



ing vapor because its saturation pressure is lower than the



vapor's, due to the staged pressure drop.



     The steam and surface requirements for the multi-effect



evaporation system are computed by performing a heat balance



across each effect and an overall material balance on the system.



  WSA + WfCf (Tf-T1)   =  W-^-L             Heat balance 1st effect



                  i

  W- ,X. ,  + (Wlp- Z Wn)  C. i (T,  -,-T.)  = W.X.    Heat balance on
   1 — 1 I™X     £ rirrl 1A   1 •*-  1~1  1     11     ,       .   ,-,-
                 n x                           subsequent effects

         TS

  E  =   £, ML                           Material balance
        n=l  n




  A   =  WsXs
   1     U.(T -T )                        Required surface area
          u.  o  _L
where  Cf  =  specific heat of feed BTu/lb°F



       Tp  =  feed temperature °F



       WF  =  feed Ib/hr



       T   =  saturation temperature of steam °F

-------
                             -71-







       W   =  steam to first effect Ib/hr



        E  =  total required evaporation  Ib/hr



       C.  =  specific heat of liquor in effect i  BTi./lb°F



       T.  =  boiling point of liquor in effect i  °F



       W-  =  vapor removed in effect i  Ib/hr



       X^  **  latent heat o£ VapoT i  BTu/lb


                                  *)

       A-  =  area of effect i  ftz



       U-  =  heat transfer coefficient for effect i BTu/hr.ft2 °F



     Therefore for a system composed of  K  effects there will  •



be K + 1  unknowns, the required steam input and K vapor rates,



and K + 1  equations.  These equations were solved by matrix



inversion in a variable input computer program.  If the areas



are not equal the pressure drops, and therefore temperature dif-



ferences,  are adjusted until they are equal.



     It was assumed that the boiling point rise due to solute



content will be negligible.  This assumption was based on infor-


                         (211
mation obtained from Kern v  '  which indicated that over the



range of 0 to 20°Brix (~% weight sugar)  the .BPR was approxi-



mately 1°.  It was further assumed that the specific heat of



the solution would be 1 BTu/lb°F.  Over the same range of con-



centration  C_  varies from 1 to 0.9.



     The heat transfer coefficient in each stage will be con-



trolled by the temperature, temperature difference,  the viscosity



of the liquor, and scale formation in the effect.   The standard



method of calculating an overall heat transfer coefficient from



the individual resistances is  not used in practice.   Most in-



formation concerning the heat  transfer coefficients  is obtained



from operating experience with the given type of effects.

-------
                             -72-
Reference  (19) gives a range of experimental values for ver-



tical tube evaporation with natural water circulation of 200 -



500 BTu/hr.ft2°F.  Kerr^  ) gives data for operational transfer



coefficients obtained with a feed forward system used in concen-



trating cane sugar to 50° Brix.  The transfer coefficients are



from 100 to 450 over a temperature range of 220 to 120°F.


    (21}
Kernv  ' also presents data for concentrating cane sugars from



approximately 13 to 50°Brix with AT=23°F and a temperature range



of 274 to 180°F.



     The proposed system for concentrating the hydrolysis sugars



operates with a AT^?23°F, temperatures from 350 to 212°F, and



sugar concentrations from 2 to 12%.  Since other solids will be



mixed with the sugars, the actual concentrations will be from



approximately 4 to 24%.  Given the previously mentioned experi-



mental data and the above specifications, a range of coefficients



from 500 to 250 was used in the design calculations.  The data



in Table 5-2 were used in the design of the multi-effect system.

-------
                 -73-
       Table 5-2




EVAPORATOR DESIGN DATA
Steam Press, | i L,
Chest ' psia I Temp F*
I
. 1
2

3
4
5
135
100

74
57
35
i
6
To CONDENSER
25
14.7

350
327

304
282
260

240
212
i
BTu/lb

870
889

905
924
939

952
970
u,
BTu/hr ft2

500
480

450
410
370

250
500

-------
6.  PLANT ECONOMICS





     Many of the design parameters for plant operation cannot



be determined without an economic evaluation of the hydrolysis



plant.  That is, variables such as recycle rate, acid concen-



tration, reaction temperature, and residence time must be set



such that the manufacturing cost of glucose is minimized.  A



knowledge of the effect of total refuse input and its compo-



sition on the manufacturing cost must also be determined, be-



fore a decision can be made concerning the economic potential



of refuse disposal by paper hydrolysis.  It would require a



great amount of labor to perform an overall economic analysis



such as this, without the use of a plant-simulating computer



program.



     The previously described generalized material flow program



(Section 5.4) generates the information necessary to size the



individual plant components.   The size of each component can



then be used to determine its purchased and installed cost.  From



these costs, the total fixed capital investment is calculated.



The material balance is also used to determine the total manufac-



turing cost per pound of glucose.



6.1  Capital Costing Procedure  (Appendix IV)



     Estimates of equipment costs, not including the hydropulper



system, were taken from a recent article by C.E. Guthrie^22).



The equipment cost information in this article included, in ad-



dition to purchase costs, the size exponential factor for each



piece of equipment and a direct material and labor factor used



to determine the total installed cost.  The M & L factor includes:





                              -74-

-------
                           -75-
 piping,  concrete,  steel,  instruments, electric material,  insu-

 lation,  paint,  and labor  necessary to install the component.

 The  hydropulper system  cost was  estimated by the Black Clawson

 Co.  for  an  80 ton/day capacity system with an 0.6 factor  for

 scale-up.   The  cost information  in Reference  (22) was for mid-

 1968 and a  6% escalation  was used to predict the capital  invest-

 ment for mid-1969.

      To  arrive  at  a value for the final fixed capital invest-

 ment, a  percentage of the installed equipment cost was used to

 determine the additional  plant cost.

         Building Cost = 20% of IEC (Installed Equipment Cost)
          Outdoor-indoor  type construction

         Freight &  Taxes = 8% of  IEC

         Construction = 17.8% of  IEC

         Engineering = 10% of IEC

         Contingency & Contractor Fee = 18% of Direct Plant Cost

        Working Capital = 15% of Direct Plant Cost

 The  above percentages were taken from Reference (23)  and are

 accepted values used in preliminary cost estimations.

     A printout of the equipment sizes and cost for a nominal

 250  ton plant are shown in Figure 6-1.  The manufacturing costs

 in this example represent 24 hours of continuous operation.

 Given any set of initial conditions for plant operation,  the

 computer program will calculate the presented information.  In

 this manner, it is possible to determine the total manufacturing

 cost per pound of sugar for any municipality with its own local

plant operating cost and refuse composition,  'in order to use

 this program to evaluate a plant for  any location,  see Appendix IV.

-------
                                 -76-
                             Figure 6-1

                CAPITAL & MANUFACTURING  COST ANALYSIS
                    REPRESENTATIVE 250 TON PLANT
DO YOU WANT EQUIPMENT  SIZE  AND COST YES OR NO
? YES
              ANALYSIS*******************
EQUIPMENT
HOPPER
CONVEYOR
KYPROPULP
RFACTOR
/CID STORAGE
FLASH CHAM
CENT 1
NKUT
LIM3 ST
CEOT 1
HEATER
OIL ST
EVA.P
CCND
COND POT

PUMP
SIZE
27000
100
250
47.6612
121078.
97.2111
283.956
304.302
2218.99
304.302
2.33224 E+7
43900.9
1521.98
1291.5
87.49
FT" 3/KR
500.801
12019.2
751.202
6.85696
412.326
937.577
. 18.4916

FT" 3
FT
TONS/DAY
FT" 3
GAL
FT" 3
GAL/MIN
GAL/MIN
FT" 3
GAL/MIN
BTU/HR
GAL
FT" 2
FT" 2
FT" 3
H.P.
2.73062
65.5349
27.3062
0. 311563
14.9881
34.0809
0.168042
P COST
9732.57
9978.68
133363.
9089.98
5668.84
10461.5
79387.6
3711.69
1026.93
17643.9
74047.8
8939.09
349953.
10628.1 •
3101.27
P.C.
1190.92
6217.17
3943.51
660.805
2013.16
4425.2
279.412
IN COST
10705.8
16165.5
213381.
13332.
10487.4
13782.6
127020.
5938.7
1129.62
28230.2
120698.
16537.3
664911.
24869.7
6202.53
i.e.
2870.12
14983.4
9503.86
1592.54
4851.72
10664.7
673.382
TOTAL PURCHASED EQUUIPMENT COST 790192. DOLLARS
10TAL INSTALLED EQUIPMENT COST 1.39764 E+6 DOLLARS
BUILDING COST                    279529. DOLLARS
FREIGHT AND TAXES                111811. DOLLARS
CONSTRUCTION COST                248781. DOLLARS
ENGINEERING COST                 139764. DOLLARS

DIRECT PLANT COST                2.17753 E+6 DOLLARS
CONTINGENCY AND CONTRACTOR FEE  391955. DOLLARS
FIXED CAPITAL  INVESTMENT

WORKING CAPITAL
2.56948 E+6 DOLLARS

385423. DOLLARS
                            (continued)

-------
                                -77-
                        Figure 6-1   (continued)
****************MANUFACTURING  COST********************
INPUT DUMPING FEE PER TON
input cost for
? 3
INPU1 INTEREST
? .04,20
RAW MATRIALS
ACID
LIME
UTILITIES
WATER
ELECT
oil
WASTE DISPOSAL
LABOR
SUPER
FRIN3E BEN
MAINTAIN
SUPPLIES
FIXED CHARGES
TAXES
INSURANCE
cap return
GENERAL COST
PAY OVER
LAB
PLANT OVER
               disposal of  waste  per ton

               RATE AND YEARS  OF  OPERATION
                9.24208        TONS/DAY        295.747
                9.4307         TONS/DAY        113.168

                150902.        GALS            37.7256
                12984.3        KILOWATTS       162.303
                4390.09        gal              439.009
                86.0937        TONS/DAY        258.281
                72             HRS              216
                24             HRS              84
                                               45.
                0               0              356.873
                0               0              26.7655

                0               0              142.749
                0               0              71.3745
                                               603.964

                0               0              71.7655
                0               0              71.7655
                0               0              239.218
TONS /DAY OF GLUCOSE  75.7071
TOTAL COST/DAY NO DUMP FEE

COST/TON OF GLUCOSE NO DUMP
COST/LB OF GLUCOSE NO DUMP

TOTAL COST/DAY WITH DUMP  FEE
COST/TON WITH DUMP FEE
COST/LB WITH DUMP FEE

TIME : 6.365 SEC.
READY
                               3235.71 DOLLARS

                              42.7398 DOLLARS
                               2.13699 E-2 DOLLARS

                               2235.71 DOLLARS
                               29.531 DOLLARS
                               1.47655 E-2 DOLLARS

-------
                          -78-
6. 2  Manufacturing Cost Estimation






     The amount of raw material required for a given plant size



is calculated from the material balance.  The raw materials



purchase prices were taken from a June 16, 1969 edition of the



Oil, Paint and Drug Report in which the current prices f,o.b.



New York are given for all major chemicals.



     Utility costs were calculated from rates given in Ref.  (24)



for 1967.  These rates will vary with the given plant location.



Mid-range values were used for calculation purposes.



     Labor costs were based on three men operating the equip-



ment with one supervisor, and three shifts.  This amounts to



one man per plant section with one overall supervisor.  Labor



rates are reported in U.S. Department of Labor publications and



a yearly index for such rates is given in Reference (24).



     Other direct costs such as fringe benefits,  maintenance,



and repairs are calculated on a percentage basis, as are the



indirect costs of payroll overhead, laboratory and plant over-



head.  These percentages were taken from References (23)  and (24),



     The fixed charges such as capital return, taxes,  and insur-



ance are all based on the fixed capital investment.  The charges



for the original capital investment depend upon the source of



the capital investment.  It was assumed that these charges would



be 4% for 20 years if the plant is built by the municipality,



and 10% for 20 years if by private industry.  From these interest



rates and years of operation an overall capital recovery factor



can be determined.  The taxes and insurance are a percentage of



the fixed capital investment.  Table 6-1 gives the values used



for calculating the direct, indirect,  and fixed cost of manu-



facturing.

-------
                              -79-
                           Table 6-1
                     MANUFACTURING COST ANALYSIS
Direct Cost
     H2S04
Raw Materials
         66%
      -x
  CAC03
Utilities
  Oil
  Water
  Electricity
Labor
  3 Laborers
  Supervisor
Maintenance (Materials & Labor)
Supplies
Fringe Benefits
$32.30/ton
$13.50/ton

$ 0.10/gal.
$0.25/1000 gal.
$0.010/KWHR

$3.00/hr.
$3.50/hr.
       5% of F.C.I.
      13% of Maintenance Material
      15% of Labor Cost
Indirect Cost
   Payroll Overhead
   Laboratory
   Plant Overhead

Fixed Charges
   Capital Investment
     Municipal
     Private
     Taxes
     Insurance
                             15% of Total Labor Cost
                             15% of Total Labor Cost
                             50% of Total Labor
                              4%,  20  years
                             10%,  20  years
                              2% of FCI
                              1% of PCI

-------
                              -80-
     In addition to these operating costs there will be the
cost of disposing of unhydrolyzed waste from the plant and pos-
sible credit for disposing of the original waste.  The charge
for disposing of plant waste will be lower than that associ-
ated with raw refuse disposal since it is compact and already
separated.  For calculation purposes, it will be assumed to cost
$3.00; approximately the lower limit of incineration cost.  A
dumping fee of $4.00 was used to demonstrate the effect of waste
disposal credit on the total manufacturing cost.  As stated
earlier, the dumping fee is the charge for waste disposal assigned
to the municipality by the plant.  It can vary from zero to a
value which is just under the cost of the next best means of
disposal.
6.3  Manufacturing Cost Analysis
     The operational plant variables such as temperature, acid
concentration, liquid to solid ratio, and recycle ratio, must
be set such that the sugar manufacturing cost is minimized.  The
reaction temperature and acid concentration effect on sugar cost
are independent of the recycle ratio but not the liquid to solid
ratio.  If a lower liquid to solid ratio is used, then an in-
crease in acid concentration will not increase the total acid
cost as appreciably as it would at a higher ratio.  It is not
possible to determine what the lowest feasible liquid to solid
ratio is without data from a flow reactor experimental apparatus.
It has been shown by Saeman et all  'that values as low as 3 to 1
produce consistent hydrolysis yields.  The hydrolysis plant
relies on thorough mixing of the pre-pulped cellulosic material
and acid solution prior to passage through the flow reactor.
Due to such consideration, a middle range value of 10 to 1 was

-------
                           -81-

chosen  for the liquid to solid ratio.  A study of the acid
concentration and temperature effects on the operating cost was
conducted for a hypothetical 250 ton plant with 40 and (0%
paper contents.  The cellulose content of paper (amorphous and
crystalline) was set at 80%.  The expected sugar yields were
taken from the experimental analysis section of this report.
     A  study of the sugar manufacturing price was performed for
ranges  of temperature from 220 - 240°C and acid concentrations
of  0.2  to 1%.  It is believed that extrapolating yields for
acid concentrations outside of this range would not be possible.
Not enough information concerning the exact effect of the acid
catalysis on yield is known to allow this.  Above 240°C the
reaction residence time is below 10 seconds.  Such short resi-
dence times give little margin for process control and it would
be  unrealistic to consider such conditions for plant operation.
The manufacturing costs for the conditions considered are pre-
sented  in Table 6-2.  These costs range from 8.5 to 2.7C/lb.
The costs with a dumping fee credit of $4.00 range from 7.3 to
2 cents/lb.  The lowest cost occurs at a 1% acid concentration
and a 230°C reaction temperature.
     The optimum recycle rate for these, 230°C, 1% and 60% paper,
was found to be a 0.4 ratio of inerts to cellulose in the reactor,
A range of 0.3 to 1 was studied and minimum cost occurred at 0.4.
The optimum recycle setting varies with reaction conditions,
yield,  L/S ratio,  and plant capacity.  It would therefore be
impossible to set a value which would be optimal for any given
hydrolysis plant.

-------
                     -82-
                Table 6-2
EFFECT OF ACID CONCENTRATION AND
TEMPERATURE ON MANUFACTURING COST

COST t lb.

Acid Temperature °C
% Paper Concentration 220° 230° 240°
40
60
40
60
40
60
.2 8.5*
.2 6.0
.5 5.0
.5 3.7
1. • 4.8
1. 3.3
7.4« 6.2$
5.4 4.4
4.7 4.3
3.2 2.8
4.2 *
2.7 *
*Not feasible (reaction time too short)

-------
                             -83-
      The  effect  of  overall  plant  capacity  on  the manufacturing



 cost  cf .~ug«r was studied for various  refuse  compositions.



 Table 1-2 demonstrated  that a wicie range of municipal  refuse



 compositions can be expected.  Three different refuse  compo-



 sitions:   40% paper,  30% garbage, 30%  separables;   50%  paper,



 17% garbage, 33% separables;  60% paper/ 15%  garbage,  251  sep-



 arables,  all with paper containing 75% cellulose, were  used to



 determine the manufacturing cost/lb. sugar.   In this manner the



 expected  cost can easily be determined for the various  types of



 communities*  A  basis of 5  Ib. of refuse per  capita per day



 was used  in calculating population from total plant capacity.



 Figure 6-2 presents this calculation and Figure 6-3 shows  the



 approximate fixed capital investment for such plants.   Opera-



 tional variables used in these calculations were 230°C, 1%



 a«-:idf /.ml -i 10 to I liquid  to solid ratio.  Although the re-



 cycle ratio was  not optimized for each plant  size, it was held



 in a  suboptimum  range.  In  this range the recycle ratio had



 little effect on total  cost and was close to  the actual optimum



 value,



     Figure 6-2  also shows  the range of sugar cost which would



 result from using blackstrap molasses as a raw material for a



 fermentation process.    Blackstrap molasses is the waste syrup



 Lcojn a sugar cane crystallization process.   It is the most



widely used fermentation raw material and therefore would be the



most competitive sugar containing raw material,   Blackstrap



molasses contains approximately 55% sugar by weight including



 sucrose,  glucose, and fructose.   Since this molasses is an



agricultural commodity,  its  selling price fluctuates a great

-------
                               -84-





                             Figura  6-2


                   SUGAR COST versus PLANT CAPACITY
     8
  s
  V)
i!
                ZOO
         400        4oo        &oo


    PLANT CAPACITY CT&NS WASTE/DAY]
 too
-t—I—h
                                a.00
                                              300
                                                           1000
                                                           400
                                                                      OP
                                                (x I03

-------
                   -85-
              Figure 6-3
CAPITAL  COST versus PLANT CAPACITY
                           -O-  to% PAPER CONTENT,
                           -Q-  50%   "
                               4-0 % \  M     >i
  100
too
                                   8
-------
                          -86-
                                    (27}
 deal.  The Commodity Year 1968 Book     gives the selling price
 for molasses up to February 1968, and the ranges for 1966, 1967,
 and 1968 are 11 to 12, 17 to 18.75, and 17 cents/gallon.  This
 fluctuation in selling price greatly affects the ability of a
 process to produce a fermentation product at a constant market
 price, which is one of the main reasons for the switch from fer-
 mentation to synthetic production of many products.  Hydrolysis
 of refuse would produce sugar at a more constant cost and over
 the years the actual production price should' decrease, since
 the trend is toward a higher level of refuse paper composition.
 The main advantage of using molasses is its high sugar concen-
 tration which allows it to be used for any fermentation process,
 with economical shipment of the raw material over long distances,
     Plants which operate at cost below that of molasses can be
 considered as producing a saleable raw material.  It is noticed
 that in some cases it would be necessary to charge a credit for
 the refuse processed to operate in a competitive range.  In the
 case of a municipality this would require absorbing some of the
 cost of production.  If the necessary charges are below the
 existing cost of waste disposal, then it would be of an economic
 advantage to build a hydrolysis plant.   If the plant is owned
 by a private industry then it would require that the plant
 charge the community a set cost for disposing of its refuse.
     The quoted prices given in the graph are for a capital
 return factor based on 4% interest for 20 years.  If owned
 privately,  a factor of 10% for 20 years would have to.be used.
With this value the cost per pound increases approximately
 0.2 cents/lb.   Another factor which is not shown in this graph

-------
                            -87-
 is  the  liquid  to  solid ratio effect.  A 10 to 1 ratio was used



 for the calculations but this is not necessarily the lowest



 possible ratio.   It was found for a 500 ton plant operating



 with 50% paper that, at a 7 to 1 ratio, the manufacturing price



 drops from  2.8 cents/lb. to 2 cents per lb., and correspondingly



 an  increase to 13  to 1 increases the cost to 3,4 sents/lb.  This



 points  out  the dramatic effect the liquid to solid ratio has on



 overall production cost.



      For the conditions used, it is therefore shown that the



 following plants could produce a 12% aldohexose solution which



 would be competitive with molasses on a cost/lb. sugar basis:



 a 40% paper composition would reach the competitive range at



 400 tons with  a dumping charge;  a 50% paper composition would



 be  competitive at  the 400 ton level without a dumping charge



 and at  the  200 ton capacity with a dumping charge;  a 60%



 paper composition would be competitive at the 200 ton level



 with  no  dumping fee and the 100 ton level with a dumping fee.



 The minimum expected costs at 1000 tons capacity, 60% paper,



 with  and without a dumping credit, are 2 and 1.3 cents/lb.



 respectively.  These values are well below the average cost



 associated with molasses of £2.5 cents/lb. of sugar.



      The  lowest predicted disposal price for the most economical



 incineration process is approximately $3.00/ton, presently



 ~$4.00/ton.   Although sanitary landfill can undercut this cost



 in  some areas,  there are many cities which have no available



 close land sites which enable them to even approach $3.00/ton.



 In  such municipalities, with refuse paper contents greater than



 50%, refuse  hydrolysis would be a means to cut disposal cost and



produce sugar at a competitive market price with molasses.

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                            -88-
 6.4  The Marketability of a Glucose Solution



     It is assumed that the sugars produced by the hydrolysis



 are fermentable.  This seems to be a valid assumption since the



 aldohexose sugars of glucose and mannose, which are produced,



 are the same sugars used in most fermentation processes.  It



 has also been proven by Saeman et al'  '  that these same sugars



 obtained by wood hydrolysis are fermentable.  In some cases



 contamination of the fermentation product occurs, such as by



 the SOo in spent sulfite liquors.  Such difficulties are not



 foreseen with the hydrolysis plant product which, in addition



 to being free of such inorganics as S02,  should be free of micro



 organism contamination due to the high temperatures of the



 reaction.



     The total U.S. consumption of blackstrap molasses in 1967



was 700 million gallons.   Approximately 300 million gallons were



used in the industrial production of drugs, citric acid, vinegar,



and ethanol.   This indicates that approximately one million tons



of such sugars were consumed in processes which could equally



as well use the product of a hydrolysis plant.  This does not



necessarily mean that a greater market is not available for the



raw sugar solution produced by hydrolysis, since at a lower



price than molasses,  this product may reopen the markets that



have since been closed by synthetic processes.  The main draw-



back to producing sugar solutions by hydrolysis is the low



concentrations produced.   That is,  at concentrations of 10 to



15% (molasses is approximately 55%)  the cost of shipment to



distant areas may preclude its ability to compete with molasses



prices.  Consideration must therefore be  given to building a

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                               -89-
 plant, which uses the hydrolysis plant product as a raw material,



 in conjunction with the hydrolysis plant.  The construction of



 a fully integrated source and consumption plant has t le advan-



 tage of cutting the overall cost of production for both the rav;



 sugar and the final product of ethanol, citric acid, etc.  The



 construction of such a plant with the final product of ethanol



 was suggested by Porteous.



     Ethanol or ethyl alcohol was originally totally produced



 by fermentation of molasses, but as of 1954, synthetic processes



 using ethylene hydrolysis and hydration began to replace fermen-



 tation.  Presently the only large fermentation plant in exis-



 tence is operated by Publicker Industries, Philadelphia, Pa.



 This change of processes was due to the variable price of black-



 strap molasses and the low price of ethylene.  Of the possible



 products which can be produced by fermentation, ethanol has the



 largest available market;  approximately 520 million gallons



 were produced in 1963.  As of June 16, 1969, ethanol was selling



 at $0.52/gallon.  There are a myriad of uses for ethanol as



 both a raw material and as a solvent.   If the selling price



were reduced,  there would most likely be a much larger demand



 for ethanol.



     Browning^ ' states that sugar must be produced at approxi-



mately one-third the  cost of ethylene before fermentation would



be competitive with synthetic ethanol production.   This applies



to the production of ethanol by private industry where a margin



of profit is expected.   Using the current selling prices of



ethylene,  3.25^/lb.,  this requires that sugar be produced at



1.08$.   Even with a dumping fee of $4.00,  the lowest predicted

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                             -90-
sugar cost is 1.3C.  This stringent requirement indicates that



it would be very difficult to persuade a private concern to



build and operate an ethanol producing refuse disposal plant



under the present cost considerations.  It should be kept in



mind that these costs are based on the current knowledge of



the system, and that a decrease in cost could result if it Wefe



found that a flow reactor could operate at a lower liquid to



solid ratio.  It is believed that if a municipality were will-



ing to build and operate an ethanol plant, it could dispose of



its refuse without charge.  Since such a plant would not have



to operate at a profit, its sole manufacturing criterion would



be to produce ethanol at the break-even point.  This would re-



quire that the municipality enter the chemical sales field but



this factor should not dissuade the municipality from such an



advantageous means of refuse disposal.



     An estimate of the ethanol manufacturing cost can be ob-



tained by a cost analysis performed on the raw material required


                           (29)
for 1000 gallons of ethanol    , and an updated investment cost



per unit of capacity.  The cost associated with the sulfuric



acid used to adjust the pH is excluded, since the pH can be



fixed by the degree of neutralization in the hydrolysis plant.



Since ethanol production by fermentation is a dying art, the



latest capital cost per year capacity was $78 in 1950.  This



value is presumably high, since in most cases(^Q)  the actual



cost increase over such a long period of time is below that



indicated by cost indexing methods.   This smaller increase is



primarily due to the technological advancements in the manufac-



ture of process equipment and materials.  A value of $100/ton

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                             -91-

 year would be  considered more realistic.  Using this value/
 the indirect and direct cost of manufacturing are calculated
 on a percentage basis as indicated in Section 6.1.  Table 6-3
 contains the ethanol by fermentation cost estimation.
     The manufacturing price of ethanol is calculated as
 $0.52/gallon.  This result implies that ethanol could be pro-
 duced  at a value equal to the existing selling price.  There-
 fore for a 500 ton plant with 50% paper, ethanol production
 would  be an economical use for the refuse produced sugars.  It
 is also seen from these results why private industry would not
 be willing to  enter the hydrolysis-ethanol industry with the
 predicted sugar cost.  The overall capital cost for a 500 ton
 hydrolysis plant and a 5.4 million gallons ethanol plant would
 be 5.2 million dollars.  The expected profit before taxes with
 a  $4.00 disposal charge would be 8.4 hundred thousand dollars,
 which  is only a 16% return on the original investment.  The
 fixed  manufacturing cost included a capital recovery factor
 which  calculated both the yearly cost necessary to recover the
 original capital investment and an interest charge of 4% per
 year;  therefore all calculated percentage returns on investment
                                                        (23)
 are in addition to this 4% charge.  Vilbrandt and Dryden
 indicate that a 45% return is expected before taxes on a high
 risk venture such as this.  An alternative would be the construc-
 tion of only the ethanol plant by the chemical company, which
 results in a return of 49%,  since the capital investment does
 not include the municipal built hydrolysis plant.   This return
would  require the municipality to absorb the necessary dumping
 fee charge.   It has been pointed out that a break-even point
with no dumping fee could be obtained by total plant operation
by the city.   Therefore,  construction of the total plant by the
community would be the most  logical decision.

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                             -92-




                      Table 6-3

                 ETHANOL PRODUCTION BY FERMENTATION

                          COST ANALYSIS
FERMENTATION PLANT  (5.4 million gal/year)
                              $1.7 million
RAW MATERIALS  (excluding sugar)
    (NK4)
   Steam
   Process Water
   Cooling Water
   Electricity
  225 Ibs.
750,000 Ibs.
 150,000 gals.
 630,000 gals.
  1600 KWHR
LABOR
   2 Laborers
   1 Supervisor
MAINTENANCE  (Material & Labor)
SUPPLIES
FRINGE BENEFITS
PAYROLL OVERHEAD
LABORATORY
PLANT OVERHEAD

FIXED CHARGES

   Capital Return 4%, 20years
   Taxes
   Insurance
 $ 2.85
  37.50
  15.00
  31.50
  16.00
$102.85
                    $144.00
                      84.00
                    $228.00

                    $235.00
                      26.00
                      34.00
                      34.00
                      34.00
                     114.00
                    $350.00
                      98.00
                      47.00
                                     $495.00

MANUFACTURING PRICE, NOT INCLUDING SUGAR


COST GAL., NOT INCLUDING SUGAR

SUGAR COST (Basis 500 ton Refuse, 50% Paper)

   15.3 Ibs.  sugar/gal.
   $0.028/lb, No Dumping
   $0.018/lb.  at $4.00 dumping

TOTAL MANUFACTURING PRICE

   NO DUMPING FEE
   WITH $4.00 DUMPING FEE
   CURRENT SELLING PRICE
                               $1302.85/DAY


                               $0.087/GAL.
                               $0.43/gal.
                               $0.275/gal,
                               $0.518/gal.
                               $0.362/gal,
                               $0.52/gal.

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                            -93-
      The  capital  investment  for the total process would  be  5.2



 million dollars.  Although this investment  is very high,  it



 can be justified  by  the  savings incurred by the  zero disposal



 cost.  If the municipality were presently paying $4. )0/ton  for



 disposal,  a hypothetical profit of $720,000 would result.   This



 is  approximately  a   14%  return on the investment which  is  well



 above any other expected returns for a city run operation.



 These calculations have been made on an assumption of a  50%



 paper composition;   if the actual plant paper were higher there



 would be  an additional profit due to the ethanol production.



 The conclusion drawn from this preliminary  cost analysis of



 ethanol production is that such a process must be considered



 as  a possible user of hydrolysis sugars.



     Chapter 7 describes other chemicals which may be possible



 sources of demand for the hydrolysis plant  product.  With these



 chemicals, as well as ethanol, a market study must be made  to



 determine whether expanding markets exist for the product.  The



 necessity of such a  study is illustrated by the magnitude of



 ethanol production capable of a 500 ton refuse plant, which



 could produce approximately 5.5 million gallons per year.  Al-



 though the existing ethanol demand could absorb the production



 from a small number of such plants, it could not withstand the



 impact which would occur  if every city of over 200,000 people



began producing ethanol.



     Although refuse hydrolysis is not a panacea for the refuse



disposal  problem,  it does possess  the  potential to  alleviate



the problem in many municipalities.  Cities  which produce

-------
                            -94-
refuse high in paper content and in large quantities have



various alternatives open to them:   1)  own and operate a com-



bination hydrolysis-chemical plant, 2)  produce sugar by hy-



drolysis with sales to a local chemical producer,  and 3) entice



private industry into establishing  a combination plant in the



community.  The final decision will be determined by the



ability of the municipality to raise the necessary original



capital investment and the competitive nature of the product.

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                             -95-
7.  GLUCOSE AS A POTENTIAL RAW MATERIAL





     The production of ethanol by glucose fermentation has been



outlined in Section 6.4.  As stated in that section, glacose



can be used in most processes which use molasses as a raw mate-



rial.  Thus if the glucose solution from the hydrolysis process



is sold at a lower price than molasses on a cost/lb sugar basis,



then it may have potential as a raw material for production of



chemicals other than ethanol.  Such processes which use molasses



are described in the following sections.  The pertinent infor-



mation which must be considered when evaluating such processes



are:  competitive processes which do not require molasses



 (synthetic), the existing market, yield of product per Ib. of



sugar, and the selling price of the product.



     It is not known a priori what the effect of producing a



given product at a lower price will be on the market demand.



It is possible that additional markets or uses will be estab-



lished, thus increasing the demand for the product.  Such in-



formation can only be obtained through a thorough market analysis



It is essential that such information be obtained since it would



be foolish to attempt to produce a product for an already satu-



rated market.



     The following information for the various chemicals is



taken from Reference (29).   Most market and cost information



are for the year 1963.



7.1  Monosodium Glutamate



     Monosodium glutamate is a food flavoring produced by the



fermentation of glucose with "micrococcus glutamicus".   It re-



quires a 15% glucose solution and produces approximately 0.27

-------
                          -96-
pounds of monosodium glutamate per Ib. of glucose.   The produc-



tion is on the increase with approximately 31 million pounds



being produced in 1963.  As of June 16, 1969 its selling price



was $0.47/lb.  Although synthetic processes are being developed,



fermentation was the only economical means as of 1963.



7.2  Citric Acid



     Citric acid is produced strictly by fermentation and is



primarily used in the beverage industry.  A 15 to 20 percent



sugar solution is fermented by "aspergillus niger".  Approxi-



mately 118 million pounds were produced in 1963 and sold at



$0.34/lb.  One pound of citric acid is produced for approxi-



mately two pounds of sugar.



7.3  Butanol



     Butanol was originally produced by fermentation of a 5%



sugar solution but has since been synthetically produced from



acetaldehyde.  The yield is 20% by weight of original sugar.



Three hundred million pounds were produced in 19.63.  The present



selling price is $0.13/lb.  It is used as a solvent and a raw



material for butyl acetate, resins, and plasticizers.



7.4  Lactic Acid



     Lactic acid is primarily used in the food industry and its



market is small — 5 million pounds/year in 1963.  It is pro-



duced by fermentation of a 15% glucose solution with an 85%



yield, or by the hydrolysis of lactonittrite.  The  synthetic



process was just under development in 1963.  Its current selling



price if $0.17/lb for a 50% technical grade solution.



7.5  Sorbital and Oxalic Acid



     Sorbital and oxalic acid can also be produced  from a glucose



solution but they require a 50% and 60% solution.  Such high

-------
                             -97-
concentrations would require extensive evaporation of the hy-



drolysis plant sugars.  It is therefore unlikely that such



products could economically be produced from these sugars.



7.6  Conclusions



     Of the above chemicals, monosodium glutamate and citric



acid have the greatest potential for economic production with



refuse produced sugars.  Both can use low sugar concentrations,



approximately 15%, which could be economically produced by a



refuse hydrolysis plant.  In addition, the only available means



of producing these chemicals is by fermentation, thus eliminating



competition from synthetic processes.  The present market, as in



the case of all fermentation products, may not be large enough



to absorb the added production of many new plants,  but this



cannot be unequivocally stated without further market research.



All such possible uses for sugar must be considered,  since the



final solution will lie in establishing many such outlets for



the refuse sugars.

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                              -98-
8.  RECOMMENDATIONS FOR FUTURE WORK





     Although sufficient experimentation was conducted to estab-



lish the economic potential of the process,  there is still addi-



tional experimentation which must be done on a small scale before



a pilot plant can be built.  This work includes the study of the



effect of metal ions on the hydrolysis reaction, the ability to



react a slurry at low liquid to solid ratios,  and the ferment-



ability of the sugars produced.  This experimentation would lead



to a more accurate pilot plant design, thus  increasing the proba-



bility of successfully producing a product at a marketable cost.



8.1  Metal Ion Effect on Hydrolysis



     When metal ions were present, low sugar hydrolysis yields



occurred.  Such ions were found to interfere with the 0-toluidine



sugar test resulting in false, low yields.  Although it is be-



lieved that such ions do not interfere with  the actual hydrol-



ysis, this hypothesis has not been proven.  An analysis procedure,



using ethylene diamine tetra acetic acid to  nullify the reac-



tivity of metal ions, is being developed. With such a procedure



a sample containing metal ions can be hydrolyzed and analyzed



for sugar content with and without addition  of the EDTA solution.



If the metal ions only affect the sugar test,  the hydrolyzed



solution containing EDTA should show higher  yields than the



solution without EDTA.  Moreover, if the iron containing hydro-



lyzed solution treated with EDTA gives yields comparable with



hydrolyzed solutions from paper without iron,  then this would



be positive evidence that metal ions do not  interfere with the



actual hydrolysis.

-------
                            -99-
      Since  almost  any  alloy metals  used  in  constructing the



 hydrolysis  reactor will  corrode  to  some  degree,  it  is  essential



 to  determine whether metal ions  actually affect  the hydrolysis



 reaction.   In  addition,  if metal ions  do not  affect the hydrol-



 ysis, waste acids  could  be used  as  the acid catalysis.   Waste



 pickling aeids from the  steel  industry/  which contain  metil



 ions, may then be  used in the  hydrolysis process, thereby



 reducing the manufacturing cost  of  sugar.



 8.2  Flow Reactor



      It is  essential that a model flow reactor system  be built.



 The enormous effect of the liquid to solid  ratio on the manu-



 facturing cost has been  shown.   A flow reactor system must  be



 tested in order to determine what the  minimum feasible  liquid



 to  solid ratio is  for  both the hydrolysis reaction  and  the



 equipment used.  A flow  reactor  is  also  needed to produce sugar



 in  large quantities from actual  refuse.  This would enable  a reason-



 able scale  of  sugar fermentation, and  thus  determine whether



 refuse contains any materials which would contaminate fermen-



 tation.



 8.3   General Plant Considerations



     The main manufacturing cost of the hydrolysis  plant is the



 oil  necessary  to heat  the slurry to the reaction temperature.



 If a  system other  than evaporation could be used to concentrate '



 the  sugars, a more efficient heat recovery  system could be



 designed.   Reverse osmosis can be used to concentrate sugar



 solutions,  and future experimentation may prove that it is more



 economic than evaporation.



     Presently there is no internally proposed method for hy-



drolysis waste disposal.   It may prove economic to burn the



residual waste and use the generated heat as an additional

-------
                             -100-
preheat source.  Before this can be proposed,  it is necessary



to determine the BTu potential of the waste.  In addition to



hydrolysis waste, outlets for scrap metals should be determined



and possible uses for CAS04 explored.



8.4  Sugar as a Raw Material



     Chapter 7 listed chemicals other than ethanol which can



be produced by sugar fermentation.   Although the production of



ethanol seems to be economically feasible, a cost and market



analysis should also be performed on these other chemicals.



It may be found that there would be a larger economic advantage



in producing some other chemical.  If such a feasibility study



indicates an existing economic potential for another chemical,



then an experimental program based on this chemical should be



established.

-------
                                  -101-
9.  SUMMARY AND CONCLUSIONS





     A survey of existing municipal refuse disposal processes



showed that high temperature incineration is one of the important



conventional disposal methods, and the projected disposal cost of



such a plant can be around $3/ton.  The main component of refuse



was found to be paper, 40 to 60%, and, as shown by Porteous, the



paper content of refuse is increasing.



     Porteous1 process for refuse disposal, which utilizes the



refuse paper content as a raw material for sugar production by



acid hydrolysis, was studied.  Experimentation was conducted to



determine a kinetic model for paper hydrolysis which was then



compared with Saeman's model for wood cellulose hydrolysis.


                     Kl    K2
Saeman's predicted A	>• B	>• C irreversible reaction model



was found to accurately describe the reaction, but the determined



rate constants were found to differ from those predicted by Saeman.



Yields, approximately 75% of those predicted by Porteous with



Saeman's kinetics, were obtained.



     A hydrolysis plant design, using the experimentally



determined kinetics, was proposed.  Modifications of Porteous'



original design included, a hydropulper separation and pretreat-



ment system adopted for use from those used in the waste paper



pulping industry, a recycle stream for the continuous flow



reactor system, and a multi-effect evaporation system for



concentrating the sugar solution.



     A generalized computer program with variable refuse



tonnage, refuse composition, and operating conditions, was

-------
                          -102-
used to size the individual plant components and calculate



the total plant and manufacturing cost.  A 1% acid solution



and a 230°C reaction temperature, yielding 51% cellulose-



sugar conversion, were found to be the most economical hydrol-



ysis conditions.  The manufacturing cost of a 12% sugar



solution for various refuse compositions and plant capacities



was calculated and compared to the market price of molasses



sugars on a cost/lb. sugar basis.  This comparison showed



that under the proposed operating conditions cities with



populations greater than 200,000 with refuse containing 50%



paper, and 100,000 people with refuse containing 60% paper,



could produce sugar by acid hydrolysis at a cost comparable



to the existing market price of molasses and at a zero refuse



disposal cost to the city.  Moreover, a preliminary economic



study showed that ethanol could be economically produced by



fermentation of the sugars.  Other potential uses for the



sugar solutions include the production of monosodium glutamate



and citric acid.



     Porteous'  economic study indicated that a 250 ton refuse



hydrolysis and ethanol fermentation plant could make $4.00/ton



profit with refuse containing 60% paper, and $0.77/ton profit



with refuse containing 40% paper.  Although this study showed



that the hydrolysis process was not as economically attractive



as originally conceived, it still indicated that this method



of refuse disposal could eliminate the refuse disposal cost



for many U.S. cities.

-------
                          -103-
     Before the final step of establishing a pilot plant is



taken, it was recommended that a small scale flow reactor be



built.  Such a reactor would be able to confirm the pre-



dicted isothermal yields and produce sugars in large enough



quantities for fermentation experimentation.

-------
                              -104-                          //
                          REFERENCES
     Decisions of the Policy Planning Council, Refuse Disposal
     Report for New York City, September 27, 1967

     Bell, John M. , "Characteristics of Municipal Refuse";
     Proceedings National Conference On Solid Waste Research,
     American Public Works Assoc., Special Report No. 29,
              1964
 3.  "Garbage:  Rosy New Future as a Raw Material",  Chemical
     Engineering, April 22, 1968.

 4.  "Conversion of Organic Solid Wastes Into Yeast", Report
     prepared for the Solid Waste Program of Public Health
     Service by Ionics, Inc.,  Mass., 1968

 5.  Porteous, A., "Towards a  Profitable Means of Municipal
     Refuse Disposal", ASME Pub. 67-WA/PID-2

 6.  Meiler & Scholler, dissertations,  Techn 'Hochshule,
     Munich, 1923

 7.  Saeman, J.,  "Kinetics of Wood Saccharif ication" ,  I & EC,
     January 1945

 8.  Browning, B. ,   The Chemistry of Wood , Interscience
     Publishers, New York,  1963

 9.  Saeman, Buhl & Harris, "Quantitative Saccharif ication of
     Wood and Cellulose",  I &  EC, Vol.  17 #1, January 1945

10.  Wilde & Beightler, Foundations of  Optimization,
     Prentice Hall, 1967

11.  Browning,  Methods of  Wood Chemistry, Interscience  Pub-
     lishers, New York, 1967

12.  Casey, J.,  Pulp and Paper, Vol.  1,  Interscience Pub-
     lishers, New York, 1966

13.  Levenspiel,  Chemical  Reactor Engineering,   Wiley  & Sons,
     New York, 1962

14.  Daily & Bugliarello,  "Basic Data for Dilute  Fiber  Suspen-
     sions in Uniform Flow  with Shear",  Tappi, July 1961,
     Vol. 44 #7

15.  Daily & Bugliarello,  "Rheological  Models and Laminar Shear
     Flow of Fiber Suspensions", Tappi,  Dec. 1961,  Vol.  44,  £12

16.  Stepanoff,  Pumps and  Blowers, Two-Phase Flow, Wiley &  Sons,
     1965

-------
                               -105-
17.  ?ontana and Greene,  Corrosion Engineering,  Xc-Graw-Kill,
     New York, 1967

13.  Grulich, G. ,  "Improved Methods of Spent Sulfite Liquor
     Disposal", D.E. Thesis, Thayer School of Engineering,
     Hanover, N.H.,  June 1969

19.  1'orry,  Chemical Engineering Handbook, Fourth Edition,
     HcGraw-Iiiil,  New York, N.Y. ,   1953

~G.  "Evaporation",  Chorrdcal Engineering, DGeeroh-Gr S, 1563

21.  Kern,  Process Heat Transfer,  McGraw-Hill, 1950

22.  Guthrie,  "Capital Cost Estimating",  Chemical Engineering,
     March 24, 1969

23.  Vilbrandt and Dryden,  Chemical Engineering Plant Design,
     McGraw Hill,  New York, N.Y.,   1959

24.  Peters and Timmerhaus,  Plant Design and Economics for
     Chemical Engineering,  McGraw Hill, New York, 1968

25.  Aris,  Chemical Engineering Cost Estimation , McGraw Hill,
     New York,  1955

26.  Saeman,  U.S. Forest Research Labs, Madison,  Wisconsin,
     Personal Communication, June  1969

27.  "Commodity Year 1968 Book", Commodity Research Bureau Inc.,
     140 Broadway, New York, N.Y.

28.  Harris, "Fermentation of Douglas Fir Hydrolysis by S.
     Cerevisiae",   I & EC, September 1946

29.  Faith, Keyes, Clark,  Industrial Chemicals,  Wiley & Sons,
     New York,  1965

30.  Haselbaith,  Chemical Engineering ,  74(25):214,   1967

-------
                           -107-



                         Appendix I


                QUANTITATIVE S/iCCHARIFICATION




     Quantitative saccharification is an analytical  technique


which hydrolyzes cellulose to glucose with a ruinirr.uin arr.ount  of


glucose decomposition.  Reference (9) from which the procedure


was taken, indicates that chemical yields of greater than  952,


can be achieved.



Procedure:


     A ground cellulosic sample of 0.35 grams is weighed and


mixed with 5 ml. of 72% sulfuric acid that has been  cooled to


15°C.  This mixture is placed in a water bath at 30°C.  This


temperature is maintained for 45 minutes and during  this time


the sample is stirred at 5 to 10 minute intervals.   After the


required time, the mixture is diluted in an Erlenmeyer flash


with 140 ml. of water.  The diluted solution is autoclaved


for one hour at 15 psi.  This yield will be the maximum poten-

tial aldohexose yield of the sample  weight aldohexose x 100>
                                      weignt sample

For a pure cellulose sample the potential glucose yield should


be 111.1%.

-------
                            -108-


                           Appendix II

                           SUGAR TEST
       (EXPERIMENTAL WORK BY WILLIAM ELLSWORTH, SENIOR CHEMIST)
     Two methods of measuring uhe sugar content of the hydrolysis

product were compared:  spectrophotcmetry and ferricyanide cxi- .

dation.  The latter test measures the total reducing' power" o£

the solution including partially decomposed sugars.  The first  ,

technique measures only the aldohexose sugars which are the

sugars of interest since they are fermentable.  All glucose

yields found in this report have been obtained by use of the

O-zoluidine colorimetric test.

     It was found that metal ions cause a false reading to occur

wiuh the colorimetric test, but that decomposed sugars have no

effect on the test results.  A summary of the test procedures

and the experimental study done on the 0-toluidine test follows.

A. Spectrophotorr.etry:

Principle:  Aldohexoses react with 0-toluidine reagent to form

a green colored complex.  The solution is then put in a spectro-

phooometer.  The color follows Beers Law, i.e. color is propor-

tional to concentration of sugar up ro 1000 mg%,  where mg% equals

number of milligrams per hundred milliliters of solution.

Procedure:

  (1)  0.1 ml of sugar  solution is mixed with 6 ml of reagent.

  (2)  Mixture placed for 8 minutes in a boiling water bath,

      then cooled to room temperature.

  (3)  Read in spectrophotometer at 630 mu.

  (4)  % sugar found from calibration curve.  Calibration is

      done using standard glucose solutions.

Reagent:    60 ml 0-toluidine + 1.5 ml thiourea.  Dilute

           this to 1000 ml with glacial acetic acid.

-------
                            -109-

 Kcf erer.ces :

      This method  is  a modification of several  in  the  literature:

        (1) Nature, Vol.  183, p.  108, 1959

        (2) Clin.  Chem. Acta, Vol. 7, p. 140, 1962

        (3) Clin.  Chem. 8, p. 215, 1962

 3 *    -a tion w 1 1 h F err icy a nicle :
    .             __ _            _
    I  & EcTTnaTytical Edition, Vol. 9  (1937), p.  228

      In this test, sugar is oxidized using f erricyanide .  Excess

 ferricyanide is titrated with eerie sulfate.

 Procedure:

   (1) 5 ml of sugar solution  (not containing more than  3 . 5 mg

      sugar) + 5 cc of alkaline ferricyanide.  Solution  is

      placed in boiling water bath for 5 minutes/ then  cooled.

   (2) Add 5 ml of 5%  H2S04 to above solution.  Titrate  against

      0.01% eerie sulfate using setopaline-C indicator.

                    Comparison of Results

     Method A estimates only the glucose, whereas Method  B esti-

mates all kinds of sugars -- pentose, etc.

     Comparison of results:


       % Sugar (gms sugar/100 grams paper)

                      Test A        Test B

        Method A       28.81         29.83

        Method B       31.55         31.87


C. Analysis of Spectrophotometric Test Reliability

1. Determination of Effect of Ferrous Ion

     This test was run by taking a standard glucose solution

and adding ferrous sulfate to it to give various concentrations

of iron.

-------
                           -110-
       Run

1) Standard Solution

2) Solution + 0.01% FeS04

3) Solution + 0.1% FeSO.

4) Solution +0.5% FeS04

5) Solution +1.0% FeS04
Experimental   Percent
  Result        Error
    120 mg %

     88

     46

     44

     39
26.6

61.6

63.4

67.5
     Ferrous sulfate was chosen because iron makes up about 50%

of Carpenter 20 CBS and is the most reactive nmetal in it.  •

     The results show that even a very small amount of ferrous

ion causes a low reading.

2. Determination of Effect of Carpenter 20 CB3 on Tests.

     A 1.6g (1/2" of 1/4" tubing) piece of CB3-plus 20 ml of

0.5% H2S04 was put into the constant temperature bath at 268°C.

It was left for 30 minutes and then the 15 ml of it that hadn't

boiled out of the glass liner was diluted to 41 ml.

     A 102 mg% standard solution was used in this and the rest

of the experiments.

        Run                    Experimental  Expected  Error

1)  Standard Solution (SS)

2)  2 ml of SS + 2 ml H20

3)  2 ml of SS + 2 ml test

4)  5 ml of SS + 2 ml H2
-------
                             -111-


      This  experiment definitely  indicates  that,  at high tem-

 peratures  over  an extended  period  of  time,  the  0.5% H^SO^  dis-

 solves  enough iron to affect the glucose test.   The fact that

 when  the test solution was  added to the standard glucose solu-

 tion  the glucose  concentration indicated was  always lower  than

 when  just  water was  used, is consistent with  experiment #1.

 The fact that the error  goes down  with increasing dilution of

 the test solution is also in agreement.

 3. Paper Hydrolysis  with No Metal  Contact  to  determine  the
   effect  of decomposed  sugars in  the glucose test.

      The paper  hydrolysis was carried out  using  20  ml of 0.5%

 H2S04 + 0.2g of paper in a  glass lined reactor.   It was put

 into  the bath at  265°C for  15 minutes, then diluted to  50  ml

 with  H20.


    Run                      Experimental  Expected   Error

 1) Hydrolysis product (HP)    51 mg %

 2) 5  ml of HP + 5 ml  SS       80           77 mg%    3.9%

 3) 5  ml of HP + 10 ml  SS      85           84        1.2%

 4) 5  ml of HP + 25 ml  §S      95           94        1.1%

 5) 5  ml of HP + 50 ml  SS      93           97        4.1%

 6) 5 ml of HP -f 75 ml  SS     101           99        2.0%

 7) 2 ml of HP + 2 ml H20      24           25.5      0.6%

 8) 2 ml of HP + 5 ml H20      13           14.6      1.1%

 9) 2 ml of HP + 2 ml SS       79           77        2.6%


     These results indicate some error,  but it is probably

within experimental error.   See the next experiment.

-------
45 mg %
50
34
lol
106
51 mg %
51
34
102
102
11
2
0
1
3
. 8£
n°-
. U 'a
.0%
.5i
.9%
                            -112-

4. Test to determine the overall accuracy of the dilution
   method of c necking the glucose test.

           Run              Experimental   Expected     E_rror

1) 2 ml of SS + 2 ml H20

2) 5 ml of SS + 5 ml H20

3) 5 ml of SS + 10 ml H20

*.1 SS alone

5) SS alone


     See also runs 2, 4, and 6 of experiment #2.

     The average percent error of these eight runs is 3.0%.

There is some dilution error in these tests, and also some error

in the glucose determinations.

5. Conclusion

     The test is accurate to 3 - 4 percent, and is more consistent

if all the tests are performed simultaneously than if they are

done  separately.  Care must be taken that no ferrous ion is in

the solution.

     From other references it was learned that the amount of time

that the samples are heated is crucial, and that any metal ion

affects the tests.

     It has also been determined that allowing the sample to sit

in the test tube with the 0-toluidine solution for a short time

before heating it does not affect the test appreciably.

-------
                      Appendix III

              NONISOTHERMAL HYDROLYSIS RESULTS


              TEMPERATURE TIME HISTORY AND  YIELD

                    0.2% Acid Runs
                    0.5 gram Samples
                     20 ml Liquid

     Observations:   Base tenp. = 10C°C.  The  body of
                     table reads temp, in °C.
Run No.-
Time
,(Min.)
i
0
1
; 2
; 3
4
I 5
1 6
i 7
, 8
: 9
10
11
12
i 13
• ,
1 "•!

Yield
w/w %
paper
Time
.Quenched
(Min.)
1
>
t

100
120
138
153
167
179
183











1.4


5.4

2



100
119
139
154
167
179
' 189
' 200
; 202

,

<

,

1

5.9
>

' 7.2

! 3
|
<
'
! 100
1 120
! 139
j 155
i 169
: iso
! 191
: 201
: 209
j 211
1
1
i
1

i


; 7-8


8.2

4



100
122
143
157
171
183
195
204
214
222








8.7


9

5



100
121
140
156
171
183
194
204
212
220
228
233






12.8


11

: 6
j
!
t
1
i
: 100
i 121
i 141
; 156
1 170
i 182
j 192
i 202
! 210
i 217
; 224
i 230
j 235
; 237

j
i

i 11.8


12. 4J
j
i
                                                        Temp.
Observation:  Temp,  to  time curve for run was

   Q  =  A + BT + CT2 + DT3 + ET4
          A = 99.9254
          3 = 23.0599
          C = -1.73918
          D = 0.105227
          E = -3.11787 E-3
                          -113-

-------
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                                                                                              Q)

                                                                                              •H
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 C
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                                                                                                                     i


                                                                                                                    CO
                00
             CN  I
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          Q"^ fil CO
    CO CO ^F rH CN
    in co cn oo t~-

    cn vo oo oo o
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    < ffl U Q W
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                                                  -114-

-------
                         -115-
          TEMPERATURE TIME  HISTORY  &  YIELDS

                   1% Acid Runs
                   0.5 gram  Samples
                   20 ml of  Liquid
' Hun No . :
Time
: (Min.) :
| 0
! i_
I 2
\ 3
! 4
i 5
: 6

; 7
S
• 9
10
; 11
i 13 !
i \
; Yield
to/w paper j
| Time j
jQuenched j
1


100 '
118 ':
127 !
152 i
165 ;
175 !


t
!





9.97
4.8
2


100
119
137
152
165
177
183







11.85
5.6
3


100
119
127
153
165
177
186

191





19.70
6.6
4


100
119
137
152
165
177
187

197
202




;30.60
7.6
i 5

f
i
! 100
i 119
j 137
152
1 165
i 177
! 188
1
197
! 203
i 205
t
i
1
i
I
' 31.30
j 8.2
6


100
119
137
152
165
177
187

197
203
210



31.56
8.6
7


100
119
137
152
165
177
188

197
203
210
219
220

19.08
10.4
8. :


100 '.
119 :
137 :
152 '
165 :
177 ;
187 1
1
197 !
204 i
211 !
219 1
224 ;
227 i
1
3.0 !
11.6 !
                                                                   o
                                                                   EH
Observation:  Temp, to time curve for run was:
                               ^     "5      A
                Q = A + BT +
                  A = 99.6517
                  B = 21.3828
                  C = -1.52206
                  D = 7.43993E-2
                  E = -0.001729

-------
                        Appendix IV

                      COMPUTER PROGRAMS
A.  HOOKE-JEEVES SEARCH AND RUNGE-KUTTA NUMERICAL
    INTEGRATION
     Used for calculating parameters of Arrhenius' equations

which best fit the data of the non-isothermal analysis.

     The Hooke-Jeeves search was originally written for two

dimensions by Steve Smith, Tuck-Thayer, 1967.  It was modi-

fied for four dimensions and incorporated with a 4th order

Runge-Kutta integration routine written by Professor Converse,

Thayer School of Engineering.  A program flow sheet and

internal program documentation are given to help explain its

operation.
                           -116-

-------
                       -117-
                      HOOKE JEEVES SEARCH
                                   INPUT
                                Yields & Times
To Runge Kutta
 Subroutine
                                  INITIALIZATION
                    Set X-'s  i=l to 4  (Arrhenius Parameters)
                    Set D-L'S  i=l to 4  (Step Sizes)
                    Set  L = Search Convergence Criterion
         1  Reset B
                                       A
                                Let Bi = Xi
                                      _r
  Calculate Sum Sq Error With

] Xi = Bi - Di
 ; Save Suboptiumum X. ', s
                                       ! NO
    MINIMUM OF      YES
     FUNCTION
                                Decrease D.'s
         If Sum of D_. 's
-------
                     -118-
rom Hooke-Jeeves Search
               RUNGE KUTTA SUBROUTINE
       INITIALIZATION
       Set X(l)  = Cellulose content
           X(2)  = Sugar content
             t   = Time of initial conditions
             •t-,  = Time of final conditions
                   Fourth Order
                   RUNGE KUTTA
                EQUATIONS
               , Temp T = f(t)
                       = g1 (Xx, X2,T)
                       = g"(X3/X4/T)

                       = h' (Klft)
                  X(2) = h"(K1,K2,t)
                           YES
                Calculate:
                Sum of Squares
                Error of fit
   To Hooke-Jeeves Search

-------
5C
52
60
    .'•' Ihis program calculates the 4 parameters of 2 Arrhen.-us
    X equations v;hich best  fit the curve sf a non-isothermal
    :' kinetic analvsis.
    RIOT "INPUT NUMBER OF TIME POINTS"
    VT T9=7
    K 1 171 "INPUT IIMK(MIN), YIELD (FRACT)
   -~G.R N= 1 TO T9
6^ KE/'D T(N),Y(K )
65 NEXT N
C6 DATA 5.6, .11,6.6, .1995, 7. 6,. 306, 8. 2,. 313, 8. 6,. 3156
66 DATA 10.2, .1908,11.6, .03
100  RFM  THIS PROGRAM DOES A HOOKE-JEEVES PATTERN  SEARCH  AS
          DESCRIBED  IN SECTION 7-08 OF WILDE AND ESIGHTLER ,
          "FOUNDATIONS OF OPTIMIZATION," PP. 307-310.   PRESENTLY THE
          PROGRAM IS LIMITED  TO FOUR INDEPENDENT VARIELES, XI, X2 ,X3 ,X4
                                     J1T7QUIRSD*************************
                             LET Xl= INITIAL VALUE OF  1ST PRE-EXPOTENTIAL
                             LET X2= INITIAL VALUE OF  1ST ACT  ENERGY
                             LET X3=INITIAL VALUE  OF 2ND PRE-EXPOTENTIAL
                             LET X4 = INITIAL VALUE OF" 2ND ACT  ENERGY
                             LET Dl = INITIAL VALUE  OF  XI STEP SIZE
                             LET D2 = SAME X2
                             LET D3 = SAME X3
                             LET D4 = SAME X4
                            RUNGE-KUTTA INTEGRATION
                                   DESCRIPTION********************
250 LET Xl=600000 'ACTUALLY  6S19 SEE LINE 2334
260 LET X2=-^5000
270 LET X3= 24000 'ACTUALLY  2.4E14 SEE LIME 2335
2fO LET X<=328
290
300
310
320
330
340
350
360
370
3TO
290
400
41C
420
430
110
120
130
T^fj
150
ICO
170
ISO
190
200
210
120
230
         STATEMENT  250
         STATEMENT  260
         STATEMENT  270
         STATEMENT  280
         STATEMENT  290
         STATEMENT  300
         STATEMENT  310
         STATEMENT  320
         SUB ROUTINE  1490
    LET D1=1S5' GIVE  LARGE SEARCH MARGIN
    LET D2=1000' KEEP IN  FEASIBLE RANGE
    L"T D3=1E4' GIVE  LARGE SEARCH MARGIN
    LET D4=1000' KEEP IN  FEASIBLE RANGE
    LET Pl=0
    LFT P2=0
    LET P3=0
    LET P4=0
    DIM P(300,4)
    LET P(0,1)=X1
    LET P(0,2)=X2
    LET ?(0, 3)=X3
    LFT P(C,4)=X4
     GO SUB  1490
     LET FO=F
450 FOR 1=  1 TO  290
460  GO SUB 1490
^70  IF F>FO THEN 500
480  LET FO=F

-------
                                                                      /  .

                                  -120-
SE.- R      ( continued )
490  GO TO
5 CO II-.T P1=X1
510 LET P2=X2
520 LET P3=X3
550 LET P^=X4
i>-'0  LET XO  =  XI
f. i. f ,  T -'• h V '] j.V 1  •-, 1
-•JO  .i? i Ai=Ai+Dl
560  GO SUE  1490
570  IF F>FO THEN 600
5cO  LEI FO  =  F
590  GO TO 670
600  LET Xl=XO
610  LF.T Xl=Xl-Dl
620  GO SUB  1490
630  IF F> FO  THEN 660
e-^0  LET F0= F
650  GO TO 670
660  LEI XI  =  XO
670  LK1 XO=X2
630  LF,1 X2= X2+D2
690  GO SUB  1490
7CO  IF F> FO  THEN 730
710  LET FO  = F
720 GO TO  SOC
720  LFT X2= XO
7-10  LET X2= X2-D2
750  GO SUE  1490
760 IF F>FO  THEN 790
770 LET FO=F
7£0 GO TO  800
790 LET X2=  XO
£00 LET X0=  X3
£10 LET X5=  X3+D3
c20 GO SUP,  1490
830 IF F>FC  THEN 860
e^C LEI F=FO
£50 GO TO  930
c60 LET X3=XO
870 LET X3=  X3-D3
f£0 GO SUB  1490
£90 IF F>FO  THEN 920
900 TET ?0=  F
S10 GO TO  930
920 LET X3=  XO
930 LET X0=  X4
940 LET X4=  X4+D4
950 GO SUB  1490
960 IF F>  FO THEN 990
970 LET FO=F
9£'0 GO 10  1190

-------
                                 -121-
SFr R     (continued)

99C LET X4 = XO
1CCO LET X4 = X4-D4
1010 CO SUB 1490
1020 IF F>FO THEN  1050
1030 LEI FO=F
IC^O GO TO 1190
1050 LET X4=XO
1C6C   '   ************SND  OF ABOVE DESCRIBED
1070   '   THE FOLLOWING TWO TESTS DETERMINE IF THE  NEW  BASE POINT OR
1080   '   ANY OF  ITS  SURROUNDING PERTURBATIONS ARE  BETTER THAN THE LAST
1090   '   P£SE POINT.   IF  NOT THEN A NEW BASE POINT MUST BE CALCU-
1100   '   LAT5D USING  A SMALLER STEP SIZE.
1110 IF P1<>X1 THEN 1190
1120 IF P2<>X2 THEN 1190
1130 IF P3<> X3 THEN 1190
11*0 IF P4<> X4 THEN 1190
1150 LET Xl= P(l-l.l)
1160 LET X2= P( 1-1,2)
1170 LET X3= P(1-1,3)
1180 LET X4 = P(1-1,4)
1190 LET P(I,1)=X1
1200 LET P(I,2)=X2
1210 LET P(I,3)=X3
1220 LET P(I,4)=X4
1230   '   THE FOLLOWING POUR STATEMENTS CALCULATE AND ASSIGN
1240   '   VALUES  TO THE NEW BASE POINT.
1250 FOR J=  1 TO 4
1260 LET P(I + 1,J) = 2*P(I,J)-P(I-1,J)
1270 NEXT J
1280 LET Xl= P(1+1,1)
1290 LET X2= P( 1+1,2)
1300 LET X3=P( 1+1,3)
1310 LEI X4 = P( 1+1,4 )
1320 LF.7 Z9=D1+D2+D3+D4
1321 IF 29<100 TEEN 1430
1330   '   THE NEXT FOUR STATMENTS REDUCE TEE  STEP SIZE IF TEE PRECEEDING
1340   '   SEARCE  DID  NOT FIND A NEW MINIMUM.
1350 FOR J=  1 TO 4
1360 IF.P(I+1,J )<>P(I,J) THEN 1420
1370 :TXT J
1380   LET Dl=Dl/2
1390   LET D2=D2/2
1400 LET D4= D4/2
1410 LET D3= D3/2
1420   NEXT I
1430   PRINT  "MINIMUM OF FUNCTION IS"FO
14/!0 PRINT ^COORDINATES ARE"X1; X2^X3 ;X4
1450 PRINT " FINAL STEP SIZES ARE D1;D2;D3;D4
1452 FOR  J=  1 TO T9
1453 PRINT SQR(E(J)),Y(J)

-------
                                  -122-
fE;« R     ( continued)

1454 MrxT J
1460 PRINT
1^70 FRIKT"IT" ;i
1-'8C GOTO 2500
1490 ' TKIS IS START  OF  RUNGE-KUTTA
1491 IF Xl<0 THEN 1530'  PUT RESTRAINT ON SEARCH VARIABLES
i<:92 IF X2«0 TEEN 1530
14~-/ IF x3<0 THEN 1530
1495 IF X4<0 TEEN 1530
1500 GOTO 154,0
1510 HEM
1530 LET F=F+100
1531 PRIKT"OI"
1532 GOTO 2400
1540 REM
1640 LEI E = .2' INTEGRATION STEP SIZE IN MINUTES
1700 REM
If40 LET N=2' NUMBER  OF  EQUATIONS
1£45 LET Tl=T(T9)+.2
1£60 LET X(1)=.S' INITIAL CONDITION ON POTENTIAL  SUGAR YIELD
1862 LET X(2)=.!'INITIAL CONDITION ON SUGAR  CONTENT
1960 LET T=4.8' TIME  OF  ABOVE CONDITIONS
1970 GO SUB 2330
1980 1;OR J=l TO N
1990 1^1 L(l J)sH*G(j)
:000 LET X(J)=X(J)+L(l,J)/2
2010 NFXT J
2020 L:-;T T  = T +  K/2
2030 GO SUB 2330
2040 FOR J= 1 TO  N
2050 LEI L(2.J)=H*G(J)
2060 LET X(J)=X(J)-L(l,J)/2+L(2,J)/2
:C70 NEXT J
2080 GO SUB 2330
2090 FOR J= 1 TO  N
7100 LET L(3,J)=K*G(J)
2110 LET X(J)=X(J)-L(2,J)/2+L(3,j)
2.120 NFXT J
2130 LZT T = T +  H/2
21^0 GO SUE 2330
2150 FOR J= 1 TO  N
2160 LET X(J)=X(j)-L(3,J)+(L(l,J) + 2*L(2,J) + 2*L(3,j)+h*G(j))/6
;i70 NEXT J
2310 IF T > Tl THEN 2360 ' END OF INTEGRATION
2311 FOR J=l TO T9' PICK OUT ERROR OF EACH POINT
2312 IF A:S(T-T(J))>.OI  THEN 2317
2313 Li:i E(J)=(X(2)-Y(J))~2
1314 IF E(J)>500  THEN 2341
2317 NEXT J
2320 GOTO 1970

-------
                                  -123-
S'EAR     (continued )

7330' C WILL FE ABSOLUTE  TEKP -TIME FUNCTION
2331 LET C=273+99.6517+21.3828*T-1.52206*T~2+7.4399E-2*: 3
2332 LET C=C-1 .729E-3*T~4
2333' PRRKEMUS FUNCTIONS FOLLOW
233-« LET Kl= XI *!El4*EXP(-X2/( 1 ,98*C ) )
2336 LET K2= X3*1E10*EXP(-X4/(1,98*C ) )
2337' CONSTRAINT'S ON  K1.K2
2338 IF Kl>20 THEN  2341
23-10 IF K2<20 THEN  2345
2341 LET F=F+10
23^2 GOTO 2400
23^4 ' DIFFERENTIAL EQUATIONS FOLLOW
2345 LET  G(1)=-Kl*X(1)
23^6 LET 0(2)=-K2*X(2)+K1*X(1)
2350 RETURN
2355' CALCULATE SUM SQUARE ERROR
2360 LET F=0
2370 FOR J= 1 TO T9
2380 LET F=F+E(J)
236} '"EXT J                                           ;
2382 LFT J5=J5+1
2383 IF J5=100 THEN 2395
2384 IF J5=160 ThEN 2395
2385 IF J5=200 THEN 2395
2386 IF J5=250 THEN 2395
2387 IF J5=350 THEN 2395
2388 IF TIK>320 TEEN  2395
2369 GOTO 2400
2395 PRINT F,Xl,X2,X3,X4
2396 FOR J=l TO T9
2397 PRINT SQR(E(J)).Y(J )
2398 NEXT J
2399 PRINT "l",I
2400 IF J=100 THEN  2402
2401 GOTO 2405
2402 PRINT J
2405 RETURN
2500 E1C

-------
                            -124-
B.  HYDROLYSIS PLANT SIMULATION PROGRAM
            by R. Fagan

     The hydrolysis plant simulation program can be used to
calculate the manufacturing cost of sugar for any city with
local refuse composition and local operational cost.  Internal
documentation is given to aid the reader in following the pro-
gram.  The inputs to the system are either external or internal,
External inputs are requested by the program at run time, and
internal inputs must be changed before run time.
Line Number
                           External Inputs
 230 -  270      Refuse tonnage and composition
 270 -  500      Plant operational variables
                    A. yield
                    B. reactor residence time
                    C. acid concentration & temperature
                    D. solid to liquid ratio
                    E. recycle ratio
3790             Dumping credit
3810             Waste disposal charge
3830             Interest rate and years of operation
                          Internal Inputs
1820-3010        Equipment cost parameters
3332             Equipment cost update %
3370-1442        Factors for calculating total fixed capital
                 cost from installed equipment cost
3570-3780        Manufacturing raw material cost and indirect
                 manufacturing cost factors
                          Outputs
 850-1590        Material balance
3070-3250        Equipment size and cost
3450-3544        Fixed capital investment
3900-4165        Manufacturing cost analysis

-------
                            -125-
     By inserting these variables, an economic feasibility



study can easily be performed on any city which might wish



to use acid hydrolysis to dispose of its refuse.

-------
                                 -126-
COST3

100 DIM S(30),P(30),I(30)
110 DIM K(30)
120 DIMT(30)
130 LET A$(I)="CELLUL,OSE"
140 LET A$(2) = "WATER '
150 LET A$(3)="ACID"
160 LET A$(4)«  'SUGAR
170 LET A$(5)="D SUGAR*'
180 LET A$(6)="S INERTS"
190 LET A$(7)="L INER.TS"
2CO LET A$(8)=  LIME*
210 LET A$(9)="SEPARABLES"
220 REM *******MATERIAL BALANCE**************
230 PRINT"INPUT TOTAL  TONS  WASTE"
240 INPUT S' TOTAL  TONS/DAY WASTE
250 let jl=s
260 PRINT "INPUT FRACTION PAPER.GARBAGE,SEPARABLES IN WASTE
265 INPUT1 F1,F4,F3
270 PRINT"INPW FRATION CELLULOSE IN PAPER'
272 INPUT F2                                        ;
273 LET F5=1-F2
280 PR I NT "INPUT1 TIME TO MAX YIELD IN MIN"
290 INPUT' T5
3co PRINT"INPUT CELLULOSE FRACTION CONVERTED AND SUGAR PRODUCED'
310 INPUT Y1,Y2
311 LET Y3=1-Y1
320 PRINT"INPUT FRACT ACID,SOLID TO LIQUID,REACTION TEMP  CENT
330 INPUT C2,C1,T
340 LET C2=C2*100/93'CORRECT FOR 93% ACID
360 LET P=  F1*S
370 LET C=  F2*P'  CELL
3£0 LEI M=F3*S* SEP
390 LET G=  F4*-S'  GAR
400 LET K=  F5*P'  CLAYS
410 LET Sl= S-M'  SOLIDS TO  REACTOR
420 LET 1=  ,5*( G+K)'  TOTAL INERTS TO SYSTEM
430 LET L=  Sl/Cl'  TONS/DAY
440 LET X=  L-S1'  WATER ADDED AFTER HYDRO
450 LET Tl= ((L+S1)*T-2*S1*20)/X' REQUIRED TEMP
460 LET Al= C2*L'  TONS/DAY ACID
470 REM****************RECYCLE PROBLEM*********************
480 PRINT"INITIAL FRACTION  INERTS";i^c
490 PR INT "INPUT II, INERT RATIO FINAL*
 500  INPUT  II
 510  LET R4= I1/Y3'  RATIO INERTS TO CELL OUT
 520 LET B=  I/R4'  TOTAL CELL BLEED
 530 LET R= (B-Y3*C)/(Y3-1)' RECYCLED CELL
 540  LET Rl= C+R'  TOTAL CELL  IN REACTOR
 542  REM
 543  REM

-------
          \ coriL-inxiGci)

55C LET R2= Y3--R1'  TOTAL CELL LEFT
5c.O LET R5= 1.1^Y2*R1' TOTAL WEIGHT SUGAR FORMED
570 LET S3= I+C-f-R+Il'- (C+R )' TOTAL SOLIDS III REACTOR
530 LET 'A= S3/C1'  TOTAL WATER RSQ
SCO LET A5 = C2--VV1'  TOTAL ACID REQ
cOO LET W1=',:-L-R-R4---R'ADDITIONAL  WATER TO RECYCLE
61 0 LET F=V9*V:+ . 1* (D-i-Gl)
620 LET A'1=A3-.M-A3/ (W-F )* (R+R4*R ) 'ADDED ACID
630 REX Gi= GLUCOSE  CUT WITH WATER
640 LET Gl= R3-R3/(W-F)*(R2+I1*R1)
€50 LET D= (1-Y3-Y2)*R1*1.1' TOTAL DECOMPOSED  SUGAR IN WASTE

670 LET D2= !-!/(V/-?)* (R2 + I1*R1)
CSO LET VM=W-.r»(D4Gl)
690 LET W5=W4—V9*W
7CO LET T2 = ( ( V7l+2*(R*R4+R ) )*T-2*(R*S4+R )*177 )/Wl
7C5 LET T2=(T1*X+T2*V71)/W'TEMP  OF  IX WATER CENT
710 LET A5=A3-A4-A1'  ACID  OUT WITH SOLIDS
720 LET £7= Y2*C*l.l' SUGAR PRODUCED IF NO RECYCLE
"7^0 T "7'T V7^=W5—R2—Rl*I 1
740 LET NS= W9+(A3-A5)/98*18' WATER OUT OF NEUT
750 LET N7=N6-(A3-A5)/98*136
760 LET L9=(A3-A5)/98-»-100'LIKE  NEEDED
770 LET G2=U3-A5)/98*136*(G1/(N6+L9))
750 LET G3= G1-G2'  SUGAR TONS/DAY OUT OF  PLANT
790 LET S9=B-K;4-«34-K/2'TONS PER  DAY OF SOLID WASTE
soo PRINT"BO YOU WANT MATERIAL  FLOW BALANCE YES OR  NO"
810 INPUT Me
S20 IF 2-:$=:<>NO" TK3N 1580
S30 PRI:;T"SEPARATION  SYSTEM"
840 PRINT
850 PRINT"SE?ARATOR","IN","OUT  T/D","IN"."OUT  T/HR"
£60 PRINT "WASTE",S,S-K,S/24,(S-M)/24
670 Fr.INT A$(2),S/.02,(S-K)/.5,(S)/.02/24,(S-M)/.5/24
6.0 PRINT
£90 PRINT"-«-*-*w*^*****-~-***********#**«#****#*#***#****#****"
9CO PRINT
vio PRIMT"REACTOR","IN"/'OUT T/D","IN","our T/HR"
920 PRINT' A$(l),Rl,Y3*Rl,Rl/24.Y3*Rl/24
930 PRINT Ac ( 2 ) , W, W4, V7/24 , W4/24
9^0 PRINT A^(3)sA3sA3,A3/24,A3/24
950 PRINT Ao(4),Z9,R3,Z9,R3/24
960 PRINT A$(5),29,D.Z9,D/24
970 PRINT A3(6),IliiRlfIl*Rl,Il*Rl/24fH*Rl/24
980 PRlivT A$ (7), 1,1,1/24,1/24
990 PRINT
10--:0 PRINT
1050 P < I '\m " * ******* ************* #****#*#****•«••»•# *-s-**«-***•»•"
1060 PRINT
1070 Pr
-------
                                  -128-
         (conx: inued)

             (2),W4,W5,W4/24,W5/24
     PRINT "CENTRIFUGE  //i", "IN", "LIQUID OUT", "SOLID STREAM", "TON S/HR"
     PRINT AS(l),R2/24,0,R2/24
     PRINT A$(2),W5/24,W9/24, (W5-W9)/24
     PRINT AS(3),A3/24, (A3-A5 )/24 , A5/24
     PRINT Ac(4),R3/24,Gl/24, (R3-G1J/24
ll'/O PRINT ;i$(5),D/24,Dl/24, (D-Dl)/24
ii:0 PRINT A$(6),I1*R1/24,Z9, 11*31/24
     ?RIOTitA$(7).I/24,D2/24,(l-D2)/24
     PRINT #-**#*-#**###***#*#*#2iilEED AND RECYCLE******'*''****'*''4'*'1*"****
        :;I "MATERIAL" , "BLD-T/D" , "REC-T/D" , "BLD-T/HR" , "REC-T/KR"
1220 PxT^T AS(l),B,R,B/24,R/24
1230  PRINT A$(6),R4*B,R4*R,R4*8/24,R4*R/24
12-10 PRINT A$(2),B+R4*B,R+R(Gl/(N6-i-L9) )/24, Y9* (Gl/(N6+L9 ) )/24
l-'oG PRINT  AS(5),Dl/24,Dl/24-Y9*(Dl/(N6+L9))/24,Y9*(Dl/(N6+L9))/24
     PRINT  AS(7),D2/24,D2/24-Y9*(D2/(N6+L9))/24,Y9*(D2/(S6+L9))/24
 J.   i- V I '.''  •-•«•-"•«••>•••--«•
15--3 ?7;Ii\T
i5d3PRiNT"REACT WATER T/KR AT  TEMP"
1260 PRINT  (X-rWl)/24;"T/HR",T2;"DEG CENT" ; (T2-100 )*9/5+212 ;'DEC F*
liS3 LZT  S4= (S3/24+S3/Cl/24)*2000*l/70' FT^3 KR  IN REACTOR

-------
                                  -129-
CCST3     (continued)

1590 LET  Sl =  G3/24
I ?00 REVi •--•"••>•--**•:- *vr##->-«• 20.UIPXENT  P
I GIG LET  Fl-  V,7*200C/24/62.4'FT~3/KR 0? FLOW TC  FLASh
1620 LEI  F2 =  F1/.134' GAL/HR  1O FLASK
1C30 LET  S5 =  54/.134' GAL/HR  THROUGH REACTOR
lo'O LET  C5=  (33-D/24' ICrtS  SOLID/HR TO 1ST  CENT
1650 LEI-  C6=  v:5/24*1000*2/70'FT~3/HR TO CENT  OF WATER
1650 LLT  ;\l=W9-:;-2COO/24/&2.4'FT~/KR TO CENT1
1C70 LET  N2 =  N1/.134' GAL/KR  TO CENT 2
1680 LET  N3=  (A3-A5)/9S*100/24' TCNS/HR OF LIME TO CENT
1G90 LET  N8=  K7*2000/6 3/24' FT'" 3  /HR TO EVAP
17CO LET  KS=K8/.134'GAL/MIN
1710 LET  S3=  £1
1720 1,21  Pl=  S3/. 02*1000*2/24/62.4' FT"3 TO PUXF 1 TO PULPER
1730 LET  S2=  El/(N7*2000/24)' FRACTION SUGAR  IN LIQUID
1740 LET  ?2=  Wl-;-2000/62. 4/24'FT" 3/RR TO 1ST MIX
1750 LET  P3=  L*2000/62.4/24'  FT"3/KR TO FRESE REFUSE
1~60 LET  ?*1 = (A1+.M )*2000/24/(62.4*1.8)'FT"3/HR  OF ACID
1770 LET  P5=  (S3/.02-S3/.5)*1000*2/24/62.4'FT~3/HR PULP RECYCLE
17=0 LET  P6=  P1-P5' FRESH WATER TO PULPER
1730 LIT  Kl=  P2+P3' THROUGH HEATER AND COND
ISOCPRINT
1S10 PRINT
1820 RE:iw--1-^---"-^------"-------EQUIPMENT  COST*****************
1330 :
-------
                                  -130-
COSTS    (continued)

2030 LET S(5)=(A1 + A4)*10*2000/(1.83*62.4 )*74.8'GAL
riOO LET P(5) = (S5/lE5r.63*15000.
2110 LEI I(5)=P(5)*1.S5
2' 20 REM FLASK CHAMBER 2  KIN RESIDENCE  TIME
2130 LET S(6)= F1/60*2'FT"2
21-'0 LET P(6)= (S(6)/62.8)~.65* 2500
2150 LSI C(6}= P(6)*  1.05*3-P(6)
2: oG LET 1(6)= P(6)*  2+C(6)
2170 LET P(6)= C(6)+P(6)
21FO REM CENTRIFUGE   ONE
2190 LET S(7)= C6/(.134*60)' GAL MIN  OF WATER TO CENT
2195 I? S(7)>350 TEEN 2220
2200 LET P(7)= (S(7)/350 )~.6*9E4
2210 LET 1(7)= P(7)*  1.6
2211 LET X7=l
2212 LET h(7)=S(7)
2213 GOTO  2230
2220 REX
2222 LET P(7)=9E4 + ((S(7)-350 )/350)  .6*9E4
2223 LET I(7)=?(7)*1.6
2224 LET X7=2
2225 LET H(7)=S(7)
2230 RSM CCMTINUOS FLOW NEUTRALIZER
2250 REM IN LINE MIXER
2260 REM DESIGN  150 PSI
2270 LET S(8)=N1/.134/60'GAL/MIK
2260 LET P(8)=(S(S)/500)~.6*5000
23CO LET  I(8)=P(8)*1.6
2305 LET E(8)=S(8)/5CO*5
2310   REM  LIME STORAGE
2370 LET  3(9) = (A3-A5)-i<-100/9e*2000*10/85'FT~3  FOR  10  DAYS
          ?(9)=S(9)~.9
          I(9)=1.1*P(9)
  :35C REM  CSITI'RIFUGE 2
  -3c.O LET  S(10)= N2./60' GAL KIN
  ?370 LET  ?(1C) = (S(10)/375)'>.6*2E4
  :?2G LEI  1(10)= ?(10)» 1.6
          11(10 ) = (S(10 )/375)*100'H.P.
          AUX DIRECT FIRED HEATER
      GOSUB 4170
     LET  :<5=(K4-212)*5/9+100
2420 REM  T2i,Tl
2422 ?RIXT>ViEM? TO HEATER BEG  F AND c",K4,K5
 2423  PXIST
 2--;25  F;;INT"EVAPORATCRS"
 2425  PR INT" STEAK FROM  FLASH  USED" ;W^1,1 )/2000 ; "TONS/ER*'
 2427  PRINT"EFFECT","VAPOR","TONS/KR
 2423  FOR  J-2 TO 7
 2429  PRINT J-l,W(J,1)/2000
 2430  NEXT  J

-------
Li~ i
         (continued)

         S(11)=(X+W1)*(T2-K5)*9/5*2000/24'BTU/HR
         P(ll)= (S(11)/5E6)~.85*20000
2450 LF.1 1(11)= P(ll)*1.63
2*1bO REM OIL AND OIL  STORAGE  EASED ON  1.5E5 ETU/GAL
247C LET C=(S(11)/1.5E5/.S5)'GAL/BR AT 85 % EFF
2-;?0 LET 01= 0*24' GAL/DAY
2490 LEI S(12)= 01*10' GAL  FOR 10 DAYS
2500 IF S(12)>4E4 THEN 2540
2510 LET P(12} = (S(12 )/lE4)~.30*1600
2520LET 1(12 )= P(12)»  1.4
2530 GOTO 2560
25^0 LET P(12)= (S(12)/3E5)~.63*3E4
255C LET 1(12)= P(12)* 1.35
2560 RE?" * •**-~:-"*puxps********
2570 REM --* FRESH WATER  TO  PULPER
25BO REM OUT PSI= 60
2590 LET S(13)= P6' FT"3/KR TO PULPER
2600 LET K(13)= 60* SU3)*7.27E-5
2610 LET P(13)= (S(13)/.134/60*60/1000)".52*600
2S20 LET  H(13)= H(13)/.8                           :
2630 LET I(13)= P(13)*2.41
2640 REM   PULPER RECYCLE PUMP
2650 LET S(14)= P5
2b60 LET P(14)= (S(14)/. 134/60*60/1000)". 52*600
2670 LET H(14)= 60*S(14)*7.27E-5
26SO LET If 14)= P(14)*2.41
2690 LET E(14)= H(14)/.8
2700 RE:-- XOYNO SCREW  PUMP FROM PULPER  TO REACTOR
2710 LET S(15)= (S1+2*S1)*2000/24/62.4'FT~3/HR
2720 LEI E(15)= 400*S(15)*7.27E-5
27?C LET P(15)= (S(15)/.134/60*400/1000)".52*600
2740 LET H(15)= H(15)/.8
2750 LET I(15)= P(15)*2.41
27ftO REM I12S04 FEED PUMP
2770 REM CONTROLLED VOLUME  PUMP
27SO LET S(16)= P4
27SO LET H(16}= 500*  S(16)*7.27S-5
2800 LET P(16)=(S(16)/.134/60*500/1000)*.7*1200
2810 LET E(16)= H(16)/.8
2620 LET I (16)= P(16)*2.41
2830 REI'i REACTOR KOYNO RECYCLE PUMP
26^0 LFT S(17)= (Wl+R+R4*R)/62.4*2000/24
2850 LET K(17)= S(17)*500*7.27E-5
2GSO LET P(17)= (S(17)/.134/60*200/1000)*.52*600
2670 LET I(±7)= P(17)*2.41
2ESO REM FEED WATER TO HEATER PUKP
2L-90 LET S(18) = (P+W(1,1))/62.4'FT~3/ER
2900 LET K(18)=S(18)*400*7.27E-5/.8
2910 LET P(18)=(S(18)/.134/60*400/1000)".52*600
2920 LET I(1S)= P(18)*2.41

-------
                                  -132-
COST 3     (continued)
          XOYNO SCREW FOR LIMEE
 2940  LEI  S(19)= 2*N3/85*2000
 2950  LET  h(19)= S(19)*100/.0*7.27E-5
 7950  LEI  ?(19)=(S(19)/.13':  6  STAGE EVAPORATION SYSTEM
 29S2  LET  P(20)=S(20)".53*1200*6
 29P3  LfT  I(.20)=P(20)*1.9
 2990  RE.fi  CONDENSER
 2<393  LET  P(21)=(S(21)/1000)~.65*9000
 2995  LET  I(21)=P(21)*2.34
 3000  LET  P(22)=(S(22)/62.S)".65*2500
 30]0  LET  I(22)=P(22)*2
 3015  PRINT
 3016  PRINT
 3017  PRINT"DO  YOU VANT EQUIPMENT SIZE AND COST YES OR NO'
 30 IS  INPUT  Y$
 3019  IF Y$="NO" THEN 3290
 3070  PRINT"*********CCST ANALYSIS*******************^
 3050  PRINT"EQUIPMFNT","SIZS","  ","p COST","IN COST
 3090  PRINT"HOPPER",s(i),"FT~3",P(I),I(I)
 3100  PRINT"CONVEYOR" s(2},"FT",P(2),i(2 )
 sue  PRINT"HYDROPULP ',s,' TONS/DAY",p(3),i(3)
 3120  PRINT"REACTOR",S(4),  FT"3",P(4),I(4)
 3130  PRINT"ACID  STORAGE',S(5),"GAL",P(5),l(5)
 3140  PRINT"FLASK  CKAM".S(6),  FT"3",P(6),I(6)
 3150  PRINT"CENT";X7,S(7),"GAL/MIN",P(7),I(7)
 2160  PRINT"NEUT",S(S),"GAL/MIN",P(S),i(a)
 3I7U  PRINT"LIME  ST",S(9),"FT~3",?(9),I(9)
 3ieo  PRINT"CENT  i",s(10),"GAL/MIN",p(10 ),i(10)
 3190  ?RINT"KEATER",s(11),"BTU/HR",p(li),i(ll)
 3200  PRINT"OIL  ST",,S(12),"GAL",P(12)fl(12)
 3210  PRINT'EVAP",s(20),' FT"2",p(20),i(20)
 322C  ?RI^r"CCND" ,S(2l), "FT~2" ,P( 21), I ( 21)
 3230  ?RINT"COND POT",s(22)."FT"3",p(22)f1(22)
 32^0 PRINT
32:-C ?RINT"Pt:/.p" , "FT~3/hR" , "K.P. " , "p.C. " , "l.C. "
 3260 FOR 1= 13 TO 19
327G PRINT"   ",S(I),H(I).P(I).I(I)
 3230 NEXT I
32SO LET P=0
 3300 LET T=0
3310 FOR 1= 1 TO 22
3320 LE'l  ?= P+P(I)
3330 LEI  T= T+I(I)
3340 NEXv I
     7J~
         ?=?*!.06'6% ESCALATION  FOR  MID  1969
       T T= T^l.06'6^ ESCALATION
       RINT

-------
                                 -133-
COST3    (cont inued)

?:?c ?RINT"TOTAL PURCHASED EOUUIPMENT COST";?;"DOLLARS
32SG PXINT"TOTAL INSTALLED EQUIPMENT COST" ;T ; "DOLLARS'
3390 LET B=  . 2*T
3400 LF.T F=.OS*7'7?,EIGHT AND TAXES
?410 LET C=  . x'/vV-T' COM STRUCT ION
3420 LET E=.iO*T'ENGINEERING
3430 LET D=T+B-i-F+C+E
3440 LET Cl=.lts*D'CONTINGENCY AND CONTRACTORS  FEE
3442 LET Y£= ,15*(D+Cl)
3450 PRINT"BUILDIMG COST                   „ ;B;?iDOLLARSfi
3460 PRINT "FREIGHT AND TAXES               ti;F;i§DOLLARSM
3470 PRINT"CONSTRUCTION COST               .. ;C;ipDOLLARS^
3480 PRINT"ENGINEERING COST                 ;£; DOLLARS
3490 PRINT
3iuo PRIKT"DIRECT  PLANT COST               B?D; DOLLARS M
3510 PRINT"CONTINGENCY AND CONTRACTOR FEE   ;Cl;  DOLLARS
3520 PRINT
3530 PRINT"FIXED  CAPITAL INVESTMENT         ;D+C1;  DOLLARS
3540 PRINT
3544 PRINT"WORKING CAPITAL                  ;Y8;  DOLLARS
3550 PRINT
3560 PRINT"****************MANUFACTURING COST*********************
3570 LET  A=(A1+A4)*32'COST OF ACID
3580 LETL =  (A3-A5)/98*100*12'COST OF LIME
3590 LET  W= G3/.12'TONS OF WATER UESED
3600 LET  W2=W*2000/62.4/.134'GALS
3610  let  w3=w2/1000*.25'cost of water
3620 LET  03=01*0.1'OIL COST
3C30LET K=0
3640  FOR  1= 1 TO 22
3650  LET  K= H+H(l)
3660  NEXT I
3670  LET  E=E*24*.7487'KILOWATT HOURS
3680LE1 E1=E*1.25*.010'COST  PER DAY WITH 25$ SURPLUS
3690  LEI  Ll=3*3*24'LABOR  3 MEN 24KR AT  3.00
 3700  LET  L2=3.5*1*24'SUPERVISION
3710  let  f=.15*(ll+12)'fringe  benefits
3720  LET  M=(D-fCl)*.05/360'MAIN AND REPAIRS AT 5% OF FCI
3730  LET  S=.15*M/2'SUPPLIES  15% OF  MAIN
 3740  LET  Fl=.C2-:i-(D+Cl)/360'TAXES  2 %  OF FCI
 3750  LET  F2=.01*(D+C1)/360'INSURANCE
 3760  LET  P=.15*(L1+L2+M/2)'PAYROLL OVERHEAD
 3770  LET  P2= P'LAB WORK
 3780  LET  ?3=.5*(Ll-i-L2+M/2) 'PLANT  OVERHEAD AT  50% OF LABOR
 37SC  PRINT"INPUT DUMPING  FEE PER  TON"
 3800  inputMdl
 3810  print"input  cost for disposal  of  waste per ton
 3820  INPUT D2
 3830  PRINT"INPUT  INTEREST RATE AND  YEARS OF OPERATION
 3640  INPUT' R1,R2

-------
                                  -134-
CCS'i 3    ( continued )

36-12 LET C2 = (R1-(1+R1)^R2)/((1+R1)"R2-1)
3£5C LET C=C2*(D+C1+Y8)/3&0
3£60 REM CAPITAL RETURN
2370 lot t=a-ri+w3+o3+el+ll+12+f+m+s+f 1+f2+p+p2+p3+c
3£SO LET 1=T+D2--E9
     PRINT"RAW"MATRIALS"
3910 PRINT ACID  ,Al-i-A4,  TONS/DAY ,A
3920 PRINT"LIME", ( A3-A5)/9&*ioo, "TONS/DAY" ,
          ""
3930 PR INT UTILITIES
39^0 PR i NT "WATER" ,w2A "GALS" , W3ti
3950 PRINT"F,LECT",E, "KILOWATTS" ,EI
3960 print  "oil",01,"gal"A0l*0.1
3970 PRINT"WASTE 'DISPOSAL  ,E9,"TONS/DAY",D2*E9
39so PRINT"LAEOR",72,"HRS",LI
3990 PRINT;;SUPER" ,24,;;HRs;;,L2if
4000 print  FRINGE  EEN ,    ,    ,f
4010 PRI NT"y.AINTAIN",Z 9,Z 9,M
4020 PRINT"SUPPLIES",Z9,Z9,S
4025 PRINT"FIXSD  CHARGES"
4030 ?RINT"TAXES",Z9,Z9,F1
4040 PRINT"INSURANCE"Az9,z9fcF2
4050 print"cap  return ,"  ",    ,c
4055 PRINT"GENSRAL COST"
4050?RIKT"?AY OVER",Z9,Z9,P
4070 ?RINT"LAB",Z9,Z9^P2
40SO PRINT"PLANT  OVER ,Z9,Z9,P3
4090 PRINT
4095 ?RINT"TONS /DAY OF  GLUCOSE ;G3
4100 ?RINT"TOTAL  COST/DAY  NO DUMP FEE    ";T;"DOLLARS
4110 PRINT
^120 PR INT "COST/TON  OF GLUCOSE  NO DUMP " ,jT/G 3 ; "DOLLAR, s"
4130 PRINT1 "COST/L3 0? GLUCOSE NO DUMP     ;T/G3/2000; DOLLARS
41-.-0 PRINT
4145 PRINT"TOTAL  COST/DAY  WITH  DUMP FEE  ";Ti;"DOLLARS"
4150 PR INT "COST/TON WITH DUMP FEE        "t ;Tl/G3 ; "DOLLARS"
4160 PRINT"COST/LB WITH  DUMP FES          ;Tl/G3/2000; DOLLARS
-.155 GOTO5160
'.166 :i2K**~«*********EVAPORATOR CALCULATION******************
4170 LET N=S
41£0 DIM 3(7,7),W(7,1).F(7,1),R(7(7)
4190 >'j-.T E=ZER
4270 FOR 1= 0 TO N
42SO RE.-D T(I),L(I)
4290 LET X(I)=T(I)
4300 NEXT I
4310 LET C1=G3/N7
4320 LET C2=.12
4330 LET F= N7-"'2000/24
4340 FOR 1= 1 TO N+l

-------
                                 -135-
CCST3    (continued)

4350 READ U(l)
4360 NEXT I
4370 LET G=(X+Wl)*2000/24
4380 DATA 350,870,327,889,304,905,282,924,260,939,240,952,212,970
43&1 DATA 500,480,450,410,370,250,500
4400 LET WO=F
4410 LET S8=F*Cl'SOLIDS IN  FEED
4420 LET P=S8/C2'PRODUCT RATE
4430 LET E= WO-P'  LBS/KR EVAPORATED IN TOTAL  SYSTEM
4440 FOR 1= 1 TO  N
4450 LET T(I)= X(I-l)-X(l)
4460 NEXT I
4470 LET B(l,l)=  L(0)
4480 LET B(l,2)=  -L(1)
4490 LEI B(1.3)=0
4500 LET B(l,4)=0
4510 LET B(2,l)=0
4520 LET B(2,2)=  L(l)-T(2)
4530 LET B(2,3)=-L(2)
4540 LET B(2,4)=0
4550 LET B(3,l)=0.
4560 LET B(3,2)=  -T ( 3)
4570 LET B(3,3)=L(2)-T(3)
4580 LET E(3f4)=-L(3)
4590 IF N>3 THEN 4640
4600 LET B(4,l)=0
4610 LET B(4,2)=l
4620 LET B(4,3)=l
4630 LET B(4,4)=l
4640 LETF(N+1,1)=E
4650 FOR 1=  1 TO  N
4660 LET F(I,1)=  -WO*T(I)
4670 NEXT I
4680 IF N=3 THEN 4810
4690 FOR J=4 TO  N
4700 LET B(J,1)=0
4710 FOR 1=  2 TO  J-l
4720 LET B(J,I)=-T(J)
4730 NFXT I
4740 LET B(J,J)=L(J-1)-T(J)
4750 LET B(J,J + 1)=-L(J)
4760 NEXT J
4770 LET B(N+1,1)=0
4780 FOR 1=  2 TO N+l
4790 LET B(N+1,I)=1
4600 NEXT I
4810 MAT R=  INV(B)
4820 MAT W= R*F
4830   REM CALCULAT AREAS
4840 FOR 1=  1 TO N

-------
                                  -136-
COST 3     (continued)
4650
4860
4GSO
4S90
4900
4910
4920
4930
49^0
4950
4960
4970
49fO
5050
5055
5056
5C57
5080
5090
5100
5110
5152
5153
5157
5160
LET A(I)= W(I,1)*L(I-1)/(U(I)*T(I))
NEXT I
    G2= W(N+1, 1)*L (N )/140
    T4= 212-70
    15= 2
     LET
     LET
     LET
     LET T6=  (T4-T5)/ (LOG (T4/T5 ) )
     LET A(N+1)=W(N+1,1)*L(N)/(U(N+1)*T6)
     PRINT
     PRINT
     FOR 1= 1 TO N
     LET Z8=Z8+W(I,1)*X(I-1)
     LET Z7=Z7+W(I,1)
     NEXT I
     LET K1=(Z8+W(7.1)*212+P*212)/(Z7+W(7.1)+P)
     LET S( 22 )=(X+Wl)*2000/62. 4*2/24/60
     LET K2=(W*V9*2000/24-W(lfl))*870/((X+Wl)*2000/24)
     LET K4=K1+K2'F DEG   INTO HEATER
     LET Y=0
     FOR 1= 1 TO N
     LET Y= Y+A(I)
     NEXT I
     LET Y2= Y/N
     LET S(20)=Y2
     LET S(21)=A(N+1)
     RETURN
     END
ya 651

-------