a) To bring your methane (CH4) to market you have to compress it to a pressure of 1 MPa. You are producing methane from a reservoir at a rate of 2 kg/sec and a pressure and temperature of 0.4MPA and 280K. This methane is run through an adiabatic compressor to bring it up to a pressure of 1 MPa. Using the appropriate balance equations and the chart given, find the minimum amount of power (work per time) required to compress the methane. b) To put methane on a ship for export, the methane needs to be liquefied. This is done by compressing and cooling a methane stream to P = 10MPA and T = 200K. It is then run through a choke valve operating adiabatically with an outlet pressure of P = 0.1 MPa. If the upstream methane stream consists of a mass flow rate of 10 kg/sec, using the appropriate balance equations and the attached chart, find rate at which liquid methane is produced downstream of the valve.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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a) To bring your methane (CH4) to market you have to compress it to a pressure of 1
MPa. You are producing methane from a reservoir at a rate of 2 kg/sec and a
pressure and temperature of 0.4MPA and 280K. This methane is run through an
adiabatic compressor to bring it up to a pressure of 1 MPa. Using the appropriate
balance equations and the chart given, find the minimum amount of power (work
per time) required to compress the methane.
b) To put methane on a ship for export, the methane needs to be liquefied. This is
done by compressing and cooling a methane stream to P = 10MPa and T = 200K.
It is then run through a choke valve operating adiabatically with an outlet pressure
of P = 0.1 MPa. If the upstream methane stream consists of a mass flow rate of 10
kg/sec, using the appropriate balance equations and the attached chart, find rate at
which liquid methane is produced downstream of the valve.
Transcribed Image Text:a) To bring your methane (CH4) to market you have to compress it to a pressure of 1 MPa. You are producing methane from a reservoir at a rate of 2 kg/sec and a pressure and temperature of 0.4MPA and 280K. This methane is run through an adiabatic compressor to bring it up to a pressure of 1 MPa. Using the appropriate balance equations and the chart given, find the minimum amount of power (work per time) required to compress the methane. b) To put methane on a ship for export, the methane needs to be liquefied. This is done by compressing and cooling a methane stream to P = 10MPa and T = 200K. It is then run through a choke valve operating adiabatically with an outlet pressure of P = 0.1 MPa. If the upstream methane stream consists of a mass flow rate of 10 kg/sec, using the appropriate balance equations and the attached chart, find rate at which liquid methane is produced downstream of the valve.
THERMODYNAMIC
PROPERTIES OF
24
20
METHANE
0.007
10
2:
%3D
8
3.
0.02 m/kg
6
0.03
4
0.05X
#30.07
Р, МРа
14,
-1
5,
0,2
0.8
0.3
0.6
0.4
0.5
0.7
0.2
100
200
300
.5
400
500
600
700
800
+0.1
1200
ÂĤ, kJ/kg
900
1000
1100
380-A
360
240
340
200
T=180K
280K
160
2.5kJ/(kg.K):
5 kJ/(kg K)S
0.0024 m/kg
line:
line
6.5
liquid
saturateds
120
Transcribed Image Text:THERMODYNAMIC PROPERTIES OF 24 20 METHANE 0.007 10 2: %3D 8 3. 0.02 m/kg 6 0.03 4 0.05X #30.07 Р, МРа 14, -1 5, 0,2 0.8 0.3 0.6 0.4 0.5 0.7 0.2 100 200 300 .5 400 500 600 700 800 +0.1 1200 ÂĤ, kJ/kg 900 1000 1100 380-A 360 240 340 200 T=180K 280K 160 2.5kJ/(kg.K): 5 kJ/(kg K)S 0.0024 m/kg line: line 6.5 liquid saturateds 120
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