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JEE Main 2019 (10 Apr, Shift 1) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from JEE Main 2019 (10 Apr, Shift 1)

Q69JEE Main 2019 · 10 APR · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by 20°C is: [Given that R = 8.31 J mol–1 K–1]

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Answer: (c)

At STP, $n = \frac{67.2}{22.4} = 3$ mol of helium.
Fixed volume, monatomic gas: $C_V = \frac{3}{2}R$ .
$Q = nC_V\Delta T = 3 \times \frac{3}{2} \times 8.31 \times 20 \approx 748\text{ J}$ .
So the answer is (c) 748 J.

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