When a gas filled | KTG & THERMODYNAMICS

JEE MAIN 2022

25-06-2022 S2

Question

When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increase by 0.4%. The initial temperature of the gas is______ K.

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Solution

$\begin{aligned} & \mathrm{pV}=\mathrm{nRT} \\ & \Delta \mathrm{P} \cdot \mathrm{V}=\mathrm{nR} \Delta \mathrm{T} \\ & \frac{\Delta \mathrm{P}}{\mathrm{P}}=\frac{\Delta \mathrm{T}}{\mathrm{T}}=\frac{0.4}{100} \\ & \mathrm{~T}=\frac{100 \times 1}{0.4}=250 \mathrm{~K}\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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