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Solution of Homework Assignment 12
1.
2.
Argon gas expands in a turbine. The exit temperature of the argon for a power output of 250 kW is to be
determined.
Assumptions
1
This is a steadyflow process since there is no change with time.
2
Potential energy changes are
negligible.
3
The device is adiabatic and thus heat transfer is negligible.
4
Argon is an ideal gas with constant
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View Full Documentspecific heats.
Properties
The gas constant of Ar is
R
= 0.2081 kPa.m
3
/kg.K. The constant pressure specific heat of Ar is
c
p
=
0.5203 kJ/kg·
C (Table A2a)
Analysis
There is only one inlet and one exit, and thus
m
m
m
1
2
. The inlet specific volume of argon and its
mass flow rate are
/kg
m
0.185
kPa
900
K
800
K
/kg
m
kPa
0.2081
3
3
1
1
1
P
RT
v
Thus,
s
kg
2.7
m/s
100
m
0.005
/kg
m
0.185
1
1
2
3
1
1
1
/
V
A
m
v
We take the turbine as the system, which is a control volume since mass
crosses the boundary. The energy balance for this steadyflow system can be
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 Summer '07
 RAMUSSEN

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