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.

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

Section: Chapter Questions

Problem 1.1MA

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Question

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

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