Methane, flowing at 17.5 kmol/hr, is compressed in a steady-state adiabatic compressor (87% efficient) from 0.1013 MPa and -240°F to 0.4 MPa. What is the work required in kJ per mole of methane? What is the work required in kW? What is the rate of entropy generation in kJ/K hr?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Methane, flowing at 17.5 kmol/hr, is compressed in a steady-state adiabatic compressor (87%
efficient) from 0.1013 MPa and -240°F to 0.4 MPa. What is the work required in kJ per mole of
methane? What is the work required in kW? What is the rate of entropy generation in kJ/K hr?
Use the provided diagram

40
Enthalpy (Btu)(lbm"
1500
80
120
160
200
240
280
320
360
400
440
METHANE
PRESSURE - ENTHALPY
1000
480
520
560
600
640
680
800
DIAGRAM
1500
V =
0.50
V = specific volume (ft)°(lbm)
S = entropy (Btu)(Ibm)"(R)"
All temperatures (°F)
700
600
0.60
500
-120°
1000
0.80
800
400
-140°
1.00
700
600
300
1.25
500
-160°
1.50
400
200
Datum:
2.00
For saturated liquid at-280(°F)
Enthalpy and Entropy 0
300
2.50
3.00
1.45
¥1.50
1.55
100
-200(°F)
200
4.00
80
70
5.00
60
-220°
1.60
6.00
100
50
8.00 80
40
70
| 10.0
60
-240°
1.75
30
12.5
50
1.80
15.0
40
1.85
20.0
30
1.90
-260°
30.0
1.95
20
10
2.00/
40.0
10
Temperature (°F)
Pressure (psia)
20
Saturated liquid
-115.8
S= 0.85
X06'0
Saturated vapor
1.05
-240°
-220°
-200°
-180°
1.20
1.25
-140°
-120°
1.30
008-
.09-
1.35
1.40
-20°
.09
120°
140°
160°
180°
1.65
200°
220°
240°
1.70
480°
Pressure (psia)
Transcribed Image Text:40 Enthalpy (Btu)(lbm" 1500 80 120 160 200 240 280 320 360 400 440 METHANE PRESSURE - ENTHALPY 1000 480 520 560 600 640 680 800 DIAGRAM 1500 V = 0.50 V = specific volume (ft)°(lbm) S = entropy (Btu)(Ibm)"(R)" All temperatures (°F) 700 600 0.60 500 -120° 1000 0.80 800 400 -140° 1.00 700 600 300 1.25 500 -160° 1.50 400 200 Datum: 2.00 For saturated liquid at-280(°F) Enthalpy and Entropy 0 300 2.50 3.00 1.45 ¥1.50 1.55 100 -200(°F) 200 4.00 80 70 5.00 60 -220° 1.60 6.00 100 50 8.00 80 40 70 | 10.0 60 -240° 1.75 30 12.5 50 1.80 15.0 40 1.85 20.0 30 1.90 -260° 30.0 1.95 20 10 2.00/ 40.0 10 Temperature (°F) Pressure (psia) 20 Saturated liquid -115.8 S= 0.85 X06'0 Saturated vapor 1.05 -240° -220° -200° -180° 1.20 1.25 -140° -120° 1.30 008- .09- 1.35 1.40 -20° .09 120° 140° 160° 180° 1.65 200° 220° 240° 1.70 480° Pressure (psia)
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