A forward-feed double-effect evaporator with equal heating areas in each effect is fed with 6 kg/s of a liquor of constant specific heat 4.2 kJ/kg.K, and with no boiling point rise in each effect, so that half of the feed liquor is evaporated. The overall heat transfer coefficient in the second effect is three-quarters of that in the first. Steam is fed in at 400 K and the boiling point in the second effect is 380 K. The feed is heated by an external heater to the boiling point in the first effect. Assume that heat transferred in both effects is equal. (a) Sketch the process and locate different variables listed above within the evaporator setup. (b) Calculate the steam consumption

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question

A forward-feed double-effect evaporator with equal heating areas in each effect is fed with 6 kg/s
of a liquor of constant specific heat 4.2 kJ/kg.K, and with no boiling point rise in each effect, so
that half of the feed liquor is evaporated. The overall heat transfer coefficient in the second effect
is three-quarters of that in the first. Steam is fed in at 400 K and the boiling point in the second
effect is 380 K. The feed is heated by an external heater to the boiling point in the first effect.
Assume that heat transferred in both effects is equal.
(a) Sketch the process and locate different variables listed above within the evaporator setup.
(b) Calculate the steam consumption

300
600
300 F
250
- (148.9°C)
500
250 E
(121.1°C):
200
400
200 F-
150
(93.3°C):
300
-I50 F
100
(65.6°C):
200
100°F-
(37.8°C)
100
50
(10°C).
-50°F
0.30
0.40
0.50
0.60
0.10
0.20
Concentration (wt fraction NaOH)
Enthalpy (btu/lbm solution)
Enthalphy (kJ/kg solution)
Transcribed Image Text:300 600 300 F 250 - (148.9°C) 500 250 E (121.1°C): 200 400 200 F- 150 (93.3°C): 300 -I50 F 100 (65.6°C): 200 100°F- (37.8°C) 100 50 (10°C). -50°F 0.30 0.40 0.50 0.60 0.10 0.20 Concentration (wt fraction NaOH) Enthalpy (btu/lbm solution) Enthalphy (kJ/kg solution)
Thermophysical Properties of Saturated Water"
Heat of
Vapor-
ization,
Expansion
Coeffi-
Thermal
Specific
Volume
(m/kg)
Specifie
Heat
Conductivity
(W/m K)
Surface
Tension,
a 10
(Nm)
(k/kg • K)
Viscosity
(N sm)
Prandti
Number
Тempera
ture, T
(K)
cient,
Temper-
ature,
T(K)
Pressure,
P (bar) v- 10
(kke
H-10 H,'10 ky- 10 , 10
Pr, Pr,
273.15
0.00611 1.000 206.3
8.02
18.2
75.5
2502
2497
4.217 1.854
4.211
1.855
1750
569
12.99 0.815
-68.05
273.15
275
0.00697
1.000
181.7
1652
8.09
574
18.3
12.22 0.817
75.3
-32.74
275
0.00990
0.01387
582
590
280
1.000
130.4
1422
8.29
18.6
10.26 0.825
0.833
8.81
2485
4.198
1.858
74.8
46.04
280
285
1.000
99.4
2473
4.189
1.861
1225
8,49
18.9
74.3
114.1
285
290
0.01917 1.001
69.7
2461
4.184
1.864
1080
8.69
598
19.3
7.56
0.841
73.7
174.0
290
0.02617
1.002
4.181
227.5
276.1
295
51.94
2449
1.868
959
8.89
606
19.5
6.62
0.849
72.7
295
19.6
20.1
300
0.03531
1.003
39.13
2438
4.179
1.872
855
9.09
613
620
5.83 0.857
71.7
300
305
310
29.74
22.93
2426
4.178
4.178 1.882
0.04712 1.005
1.877
769
9.29
5.20 0.865
70.9
320.6
305
0.06221 1.007
0.873
361.9
2414
2402
695
9.49
628
20.4
4.62
70.0
310
315
315
0.08132 1.009
17.82
4.179
1.888
631
9.69
634
20.7
4.16
0.883
69.2
400.4
320
325
0.1053
1.011
13.98
2390
4.180
1.895
57
9.89
640
21.0
3.77 0.894
68.3
436.7
320
0.1351
1.013
11.06
2378
4.182
1.903
528
10.09
645
21.3
3.42 0.901
67.5
471.2
325
330
0.1719
1.016
8.82
2366
4.184
1.911
489
10.29
650
21.7
3.15
0.908
66.6
504.0
330
335
0.2167
1.018
7.09
2354
4.186
1.920
453
10.49
656
22.0
2.88
0.916
65.8
535.5
335
340
0.2713
1.021
5.74
2342
4.188
1.930
420
10.69
660
22.3
2.66
0.925
64.9
566.0
340
345
0.3372
1.024
4.683
2329
4.191
1.941
389
10.89
664
22.6
2.45
0.933
64.1
595.4
345
350
0.4163
0.5100
1.027
2317
4.195
1.954
365
343
3.846
11.09
668
23.0
2.29
0.942
63.2
624.2
350
355
1.030
3.180
2304
4.199
1.968
11.29
671
23.3
2.14
0.951
62.3
652.3
355
360
365
0.6209
1.034
2.645
2291
4.203
1.983
324
11.49
674
23.7
2.02
0.960
61.4
697.9
360
0.7514
1.038
2.212
2278
4.209
1.999
306
11.69
677
24.1
1.91
0.969
60.5
707.1
365
1.041
1.861
4.214
4.217
370
0.9040
2265
2.017
289
11.89
679
24.5
1.80
0.978
59.5
728.7
370
373.15
1.0133
1.044
1.679
2257
2.029
279
12.02
680
24.8
1.76
0.984
58.9
750.1
373.15
375
1.0815
1.045
1.574
2252
2239
4.220
2.036
4.226 2.057
274
12.09
12.29
681
24.9
1.70
0.987
58.6
761
375
1.2869
1.5233
1.337
S7.6
0.999
L004
380
1.049
260
683
25.4
1.61
788
380
385
1.053
1.142
2225
4.232 2.080
248
12.49
685
25.8
1.53
56.6
814
385
390
1.794
1.058
0.980
0,731
2212
4.239
2.104
237
12.69
686
26.3
1.47
1.013
55.6
841
390
400
2.455
1.067
2183
1.34
4.256 2.158
4.278 2.221
217
13.05
688
27.2
1.033
53.6
896
400
410
3.302
1.077
0.553
13.42
2153
2123
200
688
28.2
1.24
1.054
51.5
952
410
420
4.370
1.088
0.425
4.302 2.291
185
13.79
688
29.8
1.16
1.075
49.4
1010
420
430
5.699
1.099
0.331
2091
4.331
2.369
173
14.14
685
30.4
1.09
L.10
47.2
430
Table 1: Thermo-physical Properties of Saturated Water
Transcribed Image Text:Thermophysical Properties of Saturated Water" Heat of Vapor- ization, Expansion Coeffi- Thermal Specific Volume (m/kg) Specifie Heat Conductivity (W/m K) Surface Tension, a 10 (Nm) (k/kg • K) Viscosity (N sm) Prandti Number Тempera ture, T (K) cient, Temper- ature, T(K) Pressure, P (bar) v- 10 (kke H-10 H,'10 ky- 10 , 10 Pr, Pr, 273.15 0.00611 1.000 206.3 8.02 18.2 75.5 2502 2497 4.217 1.854 4.211 1.855 1750 569 12.99 0.815 -68.05 273.15 275 0.00697 1.000 181.7 1652 8.09 574 18.3 12.22 0.817 75.3 -32.74 275 0.00990 0.01387 582 590 280 1.000 130.4 1422 8.29 18.6 10.26 0.825 0.833 8.81 2485 4.198 1.858 74.8 46.04 280 285 1.000 99.4 2473 4.189 1.861 1225 8,49 18.9 74.3 114.1 285 290 0.01917 1.001 69.7 2461 4.184 1.864 1080 8.69 598 19.3 7.56 0.841 73.7 174.0 290 0.02617 1.002 4.181 227.5 276.1 295 51.94 2449 1.868 959 8.89 606 19.5 6.62 0.849 72.7 295 19.6 20.1 300 0.03531 1.003 39.13 2438 4.179 1.872 855 9.09 613 620 5.83 0.857 71.7 300 305 310 29.74 22.93 2426 4.178 4.178 1.882 0.04712 1.005 1.877 769 9.29 5.20 0.865 70.9 320.6 305 0.06221 1.007 0.873 361.9 2414 2402 695 9.49 628 20.4 4.62 70.0 310 315 315 0.08132 1.009 17.82 4.179 1.888 631 9.69 634 20.7 4.16 0.883 69.2 400.4 320 325 0.1053 1.011 13.98 2390 4.180 1.895 57 9.89 640 21.0 3.77 0.894 68.3 436.7 320 0.1351 1.013 11.06 2378 4.182 1.903 528 10.09 645 21.3 3.42 0.901 67.5 471.2 325 330 0.1719 1.016 8.82 2366 4.184 1.911 489 10.29 650 21.7 3.15 0.908 66.6 504.0 330 335 0.2167 1.018 7.09 2354 4.186 1.920 453 10.49 656 22.0 2.88 0.916 65.8 535.5 335 340 0.2713 1.021 5.74 2342 4.188 1.930 420 10.69 660 22.3 2.66 0.925 64.9 566.0 340 345 0.3372 1.024 4.683 2329 4.191 1.941 389 10.89 664 22.6 2.45 0.933 64.1 595.4 345 350 0.4163 0.5100 1.027 2317 4.195 1.954 365 343 3.846 11.09 668 23.0 2.29 0.942 63.2 624.2 350 355 1.030 3.180 2304 4.199 1.968 11.29 671 23.3 2.14 0.951 62.3 652.3 355 360 365 0.6209 1.034 2.645 2291 4.203 1.983 324 11.49 674 23.7 2.02 0.960 61.4 697.9 360 0.7514 1.038 2.212 2278 4.209 1.999 306 11.69 677 24.1 1.91 0.969 60.5 707.1 365 1.041 1.861 4.214 4.217 370 0.9040 2265 2.017 289 11.89 679 24.5 1.80 0.978 59.5 728.7 370 373.15 1.0133 1.044 1.679 2257 2.029 279 12.02 680 24.8 1.76 0.984 58.9 750.1 373.15 375 1.0815 1.045 1.574 2252 2239 4.220 2.036 4.226 2.057 274 12.09 12.29 681 24.9 1.70 0.987 58.6 761 375 1.2869 1.5233 1.337 S7.6 0.999 L004 380 1.049 260 683 25.4 1.61 788 380 385 1.053 1.142 2225 4.232 2.080 248 12.49 685 25.8 1.53 56.6 814 385 390 1.794 1.058 0.980 0,731 2212 4.239 2.104 237 12.69 686 26.3 1.47 1.013 55.6 841 390 400 2.455 1.067 2183 1.34 4.256 2.158 4.278 2.221 217 13.05 688 27.2 1.033 53.6 896 400 410 3.302 1.077 0.553 13.42 2153 2123 200 688 28.2 1.24 1.054 51.5 952 410 420 4.370 1.088 0.425 4.302 2.291 185 13.79 688 29.8 1.16 1.075 49.4 1010 420 430 5.699 1.099 0.331 2091 4.331 2.369 173 14.14 685 30.4 1.09 L.10 47.2 430 Table 1: Thermo-physical Properties of Saturated Water
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