Question

The temperature of $5moles$ of a gas which was held at constant volume was changed from ${100}^{o}C$ to ${120}^{o}C$. The change in the internal energy of the gas was found to be $80J$, the total heat capacity of the gas at constant volume will be equal to

• A. $8J/K$
• B. $0.8J/K$
• C. $4.0J/K$
• D. $0.4J/K$

Answer 1

The correct option is C $4.0J/K$

$dU=n{C}_{v}dT$ or, $80=5\times C_v(120-100)$
$C_v=4.0J/K$