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Question

What is the entropy change when 1-mole oxygen gas expands isothermally and reversibly from an initial volume of 10L to 100L at 300 K?

A
19.14 J K1
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B
109.12 J K1
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C
29.12 J K1
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D
10 J K1
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Solution

The correct option is A 19.14 J K1
Solution:- (A) 19.14J/K
As we know that, change in entropy, when gas expands isothermally, is given as,
ΔS=nRlnVfVi=2.303nRlogVfVi
Given:-
n=1 mole
R=8.314J/molK
Vi=10L
Vf=100L
ΔS=2.303×1×8.314×log10010
ΔS=19.14J/K
Hence entropy change will be 19.14J/K.

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