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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 10K, molar entropy at 10K is

A

0.42J/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
`Delta S = underset(0)overset(10)int (C_(P))/(T) dT` `C_(P) = 0.42 = a xx 10^(3) rArr a= (0.42)/(10^(3))`
`rArr S_(10) - S_(0) = (0.42)/(1000) xx (1000)/(3) = (0.42)/(3)`
`S_(10) = 0.14` J/mol-K
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