mass balance bio reactor from molasses

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MATER
STREAM (%)
Total Molasses (kg/hr)

COMPONENT

7716.049

Water
Sucrose
Nitrogen
Free and Bound Acids +
Soluble Gummy Material
Inorganic Substance
Acetate
Butyrate
Carbon Dioxide
Hydrogen
Methane

Total

Molecular Weight
(kg/kmol)
18.015
342.297
60.050
88.110
44.010
2.000
16.040
201.220

1

2

3

5

6

0.165
0.530
0.030

1.000
0.000
0.000

0.974
0.017
0.001

0.982
0.000
0.001

0.000
0.000
0.000

0.160

0.000

0.005

0.005

0.000

0.115
0.000
0.000
0.000
0.000
0.000
1.000

0.000
0.000
0.000
0.000
0.000
0.000
1.000

0.004
0.000
0.000
0.000
0.000
0.000
1.000

0.004
0.003
0.006
0.000
0.000
0.000
1.000

0.000
0.000
0.000
0.917
0.083
0.000
1.000

Molasses (kmol/hr)
Water
Sucrose
Acetic Acid
Butyric Acid
Carbon Dioxide
Hydrogen
Methane
Beet Molasses

density of stream 3
(kg/m^3)

density of
stream 4
(kg/m^3)

1000.000

1000.000
HRT
6 hr
6

15 days
360

1
38.346

3
4
1209.453 1183.781

5
0.000

6
1181.085

density
(kg/m^3)
molasses

1400.000

acetic acid 1050.000
butyric acid 959.500
water
1000.000

Reactor Area
First Reactor
Second Reactor
919.449
13972.552
Heat Loss to Surrounding
First Reactor
Second Reactor

Working Volu
First Reactor
1460.196

Total Volum
First Reactor
2085.995
First Reactor
H
18.150

248251.339
0.248

3772589.037
3.773

MATERIAL BALANCE

)

STREAM (kg/hr)
7

1

2

3

4

5

0.979
0.000
0.001

1273.148
4089.506
231.481

235650.000
0.000
0.000

236923.148
4089.506
231.481

235846.981
0.000
231.481

0.000
0.000
0.000

0.005

1234.568

0.000

1234.568

1234.568

0.000

0.004
0.000
0.000
0.008
0.000
0.003
1.000

887.346
0.000
0.000
0.000
0.000
0.000
7716.049

0.000
0.000
0.000
0.000
0.000
0.000
235650.000

887.346
0.000
0.000
0.000
0.000
0.000
243366.049

887.346
760.479
1326.320
0.000
0.000
0.000
240287.175

0.000
0.000
0.000
736.119
66.905
0.000
803.023

STREAM (kmol/hr)
2
3
13080.548
13151.219
0.000
11.947
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
13080.548
13163.166

4
13091.482
0.000
12.664
15.053
0.000
0.000
0.000
13119.199

5
0.000
0.000
0.000
0.000
16.726
33.452
0.000
50.179

Water
Sucrose
Acetate
Butyrate
Carbon Dioxide
Hydrogen
Methane
Total

1
70.670
11.947
0.000
0.000
0.000
0.000
0.000
82.618

total new acetate
42.770
Working Volume Calculation
First Reactor
1460.196

Second Reactor
86503.383

Total Volume Calculation
First Reactor
Second Reactor
2085.995
123576.261
First Reactor
D
12.100

Second Reactor
H
D
70.754
47.169

Volumetric Flow Rate (m^3/hr)
First Reactor
243.366

Second Reactor
240.287

6

out-in

235304.612
0.000
231.481

-2276.463

1234.568

2353.395

887.346
51.367
0.000
1844.666
60.212
672.312
240286.563

6
13061.376
0.000
0.855
0.000
41.915
30.106
41.915
13176.167

Others

Water
Molasses
Acetic Acid
Butyric Acid
Carbon Dioxide
Hydrogen
Methane
Total

n1
(kmol/hr)
0
38.346
0
0
0
0
0

h1
(kJ/mol)
0
-7.157
2.043
2.0934
0
0
0

Energy Balance Unit 1
Energy Balance Unit 2
Energy Balance Unit 3

5366239.45
36627609.7
-61856551.8

Net Energy

-19862702.6

h2
(kJ/mol)
0
13080.548 -242.39784 -3170696560
-274442.322
0
-7.157
0
0
0
2.043
0
0
0
2.0934
0
0
0
0
0
0
0
0
0
0
0
0
0
-274442.322
-3170696560
n2 (kmol/hr)

5366239452
3.6628E+10
-6.186E+10
kj/hr

-1.986E+10
-5517417.4
-5.5174174

Water
Molasses
Acetic Acid
Butyric Acid
Carbon Dioxide
Hydrogen
Methane
Total

j/hr
W
MW

n3 (kmol/hr)
0
1209.453
0
0
0
0
0

n5 (kmol/hr)
0
0
0
0
16.726
33.452
0

h3
(kJ/mol)
0
4.21
2.043
2.0934
0
0
0

0
5091797.13
0
0
0
0
0
5091797.13

h5
(kJ/mol)
0
0
5.052
0
2.043
0
2.0934
0
-393.13677 -6575605.68
0.2884049 9647.720654
-74.43434
0
-6565957.959
122.68215

n4
(kmol/hr)
0
1183.781
12.664
15.053
0
0
0

h4
(kJ/mol)
0
0
4.21
4983718.01
1226.8215 15536467.48
1844.4947 27765179.32
-393.13677
0
0.2884049
0
0
0
48285364.81
n6
(kmol/hr)
0
1181.085
0.855
0
41.915
30.106
41.915

h6

(kJ/mol)

0
4.21
1226.8215
184.449474
-393.1367739
0.288404898
-74.50416425

0
4972367.9
1048932.4
0
-16478328
8682.7179
-3122842
-13571187

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