When a gas filled in a closed vessel is heated by raising the temperature by 1 ° C, its pressure increases by 0.4%. The initial temperature of the gas is ___________ K. Numerical answer type. Work it out, then open the answer.

Answer: 250. Closed vessel: P ∝ T ⇒ (Δ P)/(P) = (Δ T)/(T). 0.004 = 1/T ⇒ T = 250 K Answer: 250 K

When a gas filled in a closed vessel is heated by raising the… | JEE Main 2022 (25 Jun, Shift 2)

Q51JEE Main 2022 · 25 JUN · SHIFT 2Easy

Gas Laws & Ideal Gas Equation

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.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 250

Closed vessel: $P \propto T \Rightarrow \dfrac{\Delta P}{P} = \dfrac{\Delta T}{T}$ .
$0.004 = \dfrac{1}{T} \Rightarrow T = 250$ K
Answer: $250$ K

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