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For a perfectly crystaline solid C(p.m)=...

For a perfectly crystaline solid `C_(p.m)=aT^(3)` , where `a` is constant. If `C_(p.m)` is `0.42J//K-mol` at `10 K`, molar entropy at `10 K` is:

A

`0.42 J//K-mol`

B

`0.14 J//K-mol`

C

`4.2 J//K-mol`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
B
`S_(m)=underset(0)overset(10)int(C_(p.m))/(T) dT-underset(0)overset(10)intaT^(2)=(a)/(3)[10^(3)-0]=(0.42)/(3)=0.14J//K-mol`
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