JEE MAIN - Physics (2022 - 25th June Evening Shift - No. 24)

When a gas filled in a closed vessel is heated by raising the temperature by 1$$^\circ$$C, its pressure increases by 0.4%. The initial temperature of the gas is ___________ K.
Answer
250

Explanation

$$PV = nRT$$

So $${{dP} \over P} \times 100 = {{dT} \over T} \times 100$$

$$0.4 = {1 \over T} \times 100$$

$$ \Rightarrow T = 250\,K$$

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