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JEE Main 2021 (27 Aug, Shift 1) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from JEE Main 2021 (27 Aug, Shift 1)

Q58JEE Main 2021 · 27 AUG · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion of the gas is:

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Answer: (c)

From $PV = nRT$ : $P \propto \frac{T}{V}$ .
$PT^3 =$ const $\Rightarrow \frac{T^4}{V} =$ const $\Rightarrow V \propto T^4$ .
$\gamma_V = \frac{1}{V}\frac{dV}{dT} = \frac{4}{T}$ .
So the answer is (c) $\frac{4}{T}$ .

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