JEE Main 2026 Apr 5 Shift 2, Physics Q9: Kinetic Theory of an Ideal Gases

JEE Main2026Apr 5, Shift 2Physics

An ideal gas at pressure $P$ and temperature $T$ is expanding such that $P T^{3}$ = constant. The coefficient of volume expansion of the gas is _____.

A
$\frac{2}{T}$
B
$\frac{1}{T}$
C
$\frac{4}{T}$
D
$\frac{3}{T}$

Solution

From $P V = n R T$ and $P T^{3} = C$ : $P = C / T^{3}$ , so $V = \frac{n R T}{P} = \frac{n R}{C} T^{4}$ .

Coefficient of volume expansion:

$γ = \frac{1}{V} \frac{d V}{d T} = \frac{1}{V} \cdot \frac{n R}{C} \cdot 4 T^{3} = \frac{4 T ^{3}}{T ^{4}} = \frac{4}{T}$ .

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JEE Main 2026 Apr 5 Shift 2, Physics Q9: Kinetic Theory of an Ideal Gases

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