JEE Main 2025 Apr 3 Shift 2, Physics Q17: Kinetic Theory of an Ideal Gases

JEE Main2025Apr 3, Shift 2Physics

Pressure of an ideal gas, contained in a closed vessel, is increased by $0.4%$ when heated by $1^{\circ}$ C. Its initial temperature must be :

Solution

A closed rigid vessel means constant volume, so $P \propto T$ and $\frac{Δ P}{P} = \frac{Δ T}{T}$ .

Substituting $\frac{Δ P}{P} = 0.4% = 0.004$ and $Δ T = 1$ K:

$0.004 = \frac{1}{T} \Rightarrow T = 250$ K.

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