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For a perfectly crystalline solid C(p,m)...

For a perfectly crystalline solid `C_(p,m)=aT^(3)`, where a is constant. If `C_(p,m)` is `0.42 J//K` mol at 10 K, molar entropy at 20 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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