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JEE Main 2022 (29 Jun, Shift 1) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from JEE Main 2022 (29 Jun, Shift 1)

Q54JEE Main 2022 · 29 JUN · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0 $^\circ$ C will be: (Given gas constant R = 8.3 JK ${}^{-1}$ -mol ${}^{-1}$ )

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Answer: (c)

At STP, $n = \frac{44.8}{22.4} = 2$ mol of helium.
Fixed volume, monatomic gas: $C_V = \frac{3}{2}R$ .
$Q = nC_V\Delta T = 2 \times \frac{3}{2} \times 8.3 \times 20 = 498\text{ J}$ .
So the answer is (c) 498 J.

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