Q 11-12-086JEE MainJEE Main 2022 (25 Jun, Shift 2)Easy
When a gas filled in a closed vessel is heated by raising the temperature by $1^\circ\text{C}$, its pressure increases by $0.4\%$. The initial temperature of the gas is ______ K.
Numerical value type. Enter your answer.
Answer: 250
At constant volume $P\propto T$, so $\dfrac{\Delta P}{P} = \dfrac{\Delta T}{T}$:
$$0.004 = \frac1T\ \Rightarrow\ T = 250\ \text{K}$$
Solution by Sreeraj P, M.Sc Physics