Q 11-12-111JEE MainJEE Main 2021 (26 Feb, Shift 2)Easy
The internal energy $(U)$, pressure $(P)$ and volume $(V)$ of an ideal gas are related as $U = 3PV + 4$. The gas is
Answer: (B) polyatomic only
For an ideal gas $U = \dfrac{f}{2}nRT = \dfrac{f}{2}PV$ (plus a constant).
Comparing with $U = 3PV + 4$: $\dfrac{f}{2} = 3 \Rightarrow f = 6$, which corresponds to a (non-linear) polyatomic gas.
Solution by Sreeraj P, M.Sc Physics