Page 103 - Coulson Richardson's Chemical Engineering Vol.6 Chemical Engineering Design 4th Edition

86
3
At the inlet conditions, the flow rate in m /s
1
288
5000 CHEMICAL ENGINEERING
D ð 22.4 ð ð D 6.56
3600 273 5
From Figure 3.6 E p D 0.73
1.4 1
From equations 3.36a and 3.35 m D D 0.39
1.4 ð 0.73
0.39
15

T 2 D 288 D 442 K
5
442 C 228
T r mean D D 1.03
2 ð 324.6
5 C 15
P r mean D D 0.12
2 ð 82
Ž
At T mean C D 29.14 kJ/kmol K
p
Correction for pressure from Figure 3.2, 2 kJ/kmol K
C p D 29.14 C 2 ' 31 kJ/kmol K
From Figures 3.8, 3.9 and 3.10 at mean conditions:
X D 0.18, Y D 1.04, Z D 0.97
Z at inlet conditions D 0.98
From equations 3.36 and 3.38
0.97 ð 8.314 1
m D C 0.18 D 0.40
31 0.73
1
n D D 1.76
1.04 0.4 1 C 0.18
From equation 3.31

1.76 1 /1.76
1.76 15
W polytropic D 0.98 ð 288 ð 8.314 ð 1
1.76 1 5
D 3299 kJ/kmol

polytropic work
Actual work required D
E p
3299
D D 4520 kJ/kmol
0.73
4520
Power D ð 5000 D 6275 kW
3600
Say, 6.3MW

15
0.4
T 2 D 288 D 447 K
5