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Question

An ideal gas undergoes a process from state 1 T1=300K,P1=100kPa to state 2 T2=600K,P2=500kPa. The specific heats of the ideal gas are: cp=1kJ/kgK and cv=0.7kJ/kgK. The change in specific entropy of the ideal gas from state 1 to state 2 (in kJ/kg-K) is
(correct to two decimal places)
  1. 0.21

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Solution

The correct option is A 0.21
Ideal gas
State -1: T1=300K,p1=100kPa
State-2: T2=600K,p2=500kPa,
cp=1kJ/kgK,Cv=0.7kJ/kgk,
cpcv=R,
cpcv=10.7=R
R=0.3kJ/kgK
Change in specific entropy,
s2s1=cplnT2T1Rlnp2p1
=1×ln6003000.3ln500100
=0.21kJkgK

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