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Question

1 mole of an ideal gas at 20 atm pressure and 15 L volume expands such that the final pressure becomes 10 atm and the final volume becomes 60 L. Calculate the change in entropy for the process.
(Cp.m=30 J mole1 K1, R=253J/mol K, ln 2 = 0.7, ln 3 = 1.1).

A
80.2 JK1 mole1
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B
15.17 JK1 mol1
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C
120×102 JK1 mol1
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D
26.83 JK1 mol1
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Solution

The correct option is D 26.83 JK1 mol1
ΔS for irreversible system:
ΔS=CplnTfTinRlnPfPi (i)
Given Data:
n=1
Pi=20 atm Pf=10 atm
Vi=15 L Vf=60 L
number of moles of gas is constant so
PiViTi=PfVfTf
TfTi=PfVfPiVi=2
On substituting in (i) we get
21+253×0.7=26.83JK1mol1

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