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JEE Main 2019 (12 Apr, Shift 1) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2019 (12 Apr, Shift 1)

Q52JEE Main 2019 · 12 APR · SHIFT 1Medium

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume? (R = 8.3 J/mol K)

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Answer: (b)

He: $C_V = \dfrac{3}{2}R$ ; $H_2$ (rigid): $C_V = \dfrac{5}{2}R$ .
$C_V^{mix} = \dfrac{2(1.5R) + 3(2.5R)}{5} = 2.1R$
$= 2.1 \times 8.3 \approx 17.4$ J/mol K
So the answer is (b) 17.4 J/mol K.

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