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The temperature of 5 mol of a gas which was held at constant volume was changed from 100oC to 120oC. The change in internal energy was found to be 80 J. The total heat capacity of the gas at constant volume will be equal to

a
8JK−1
b
0.8JK−1
c
4JK−1
d
0.4JK−1

detailed solution

Correct option is C

At constant volume the total energy will be utilized in increasing the temperature of gas i.e.,  (ΔQ)v=μCvΔT=μCv(120−100)=80⇒ μCv=8020=4J/KThis is the heat capacity of 5 mol gas.

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