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Question

For a perfectly crystalline solid Cp.m=aT3, where a is constant. If Cp.m is 0.42 J/Kmol at 10 K, molar entropy at 10 K is :

A
0.42 J/Kmol
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B
0.14 J/Kmol
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C
4.2 J/Kmol
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D
zero
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Solution

The correct option is B 0.14 J/Kmol
We are given the relation
Cp.m=aT3,
given that Cp.m is 0.42 J/Kmol at 10 K
putting values we get,
0.42=a(10)3a=0.42×103

Molar entropy, Sm at 10 K will be Sm=100Cp.mTdT=100aT2putting the value of a, we get=a3[1030]=0.423=0.14 J/Kmol

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