Q 11-12-115JEE MainJEE Main 2021 (27 Aug, Shift 1)Medium
An ideal gas is expanding such that $PT^3 = $ constant. The coefficient of volume expansion of the gas is:
Answer: (D) $\frac{4}{T}$
With $P = \dfrac{nRT}{V}$: $\dfrac{T}{V}\cdot T^3 = $ constant, so $V \propto T^4$.
$$\gamma = \frac{1}{V}\frac{dV}{dT} = \frac{4}{T}$$
Solution by Sreeraj P, M.Sc Physics