Question

Ideal diatomic gas is taken through a process, $Q=2\Delta U$. Find the molar heat capacity for the process (where $Q$ is the heat supplied and $\Delta U$ is the change in thermal energy).

Answer 1

Molar Heat capacity $=\frac{Q}{\Delta T}$

$=\frac{2\Delta U}{\Delta T}$

$\Delta U$ $=C_v\Delta T$ $=3R\frac{\Delta T}{2}$

$\frac{2\Delta U}{\Delta T}=3R=C$

Hence, Molar Heat capacity $=3R$