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In an experimaental set-up, air flows between two stations P and Q adiabatically. The direction of flow depdns on the pressure and temperature conditions maintained at P and Q. The conditions at P are 150kPa and 35K. The temperature at station Q is 300K. The following are the properties and relations pertaining to air:
Specific heat at constant pressure,
cp=1.005kG/kgK;
Specific heat at constnat volume,
cv=0.718kJ/kgK;
Characteristic gas constnat,
R=0.287kJ/kgK
Enthalpy, h=cpT.
Internal energy, u=cvT.

If the pressure at station Q is 50kPa, the change in entropy (sQsP) in kJ/kgK is


A
0
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B
0.355
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C
0.155
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D
0.160
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Solution

The correct option is D 0.160
If PQ=50kPa
Chage in entropy,
SQSP=cPInTQTPRInpQpP
=1.005In3003500.287In50150
=1.005(0.1541)0.287(1.098)
=0.1548+0.3151=0.160kJ/kgK

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