One mole of ideal monatomic gas (γ = 5/3) is mixed with one mole of diatomic gas (γ = 7/5). What is γ for the mixture? γ Denotes the ratio of specific heat at constant pressure, to that at constant volume (a) 35/23 (b) 23/15 (c) 3/2 (d) 4/3

Answer: (c). CVmix = (1.5R + 2.5R)/(2) = 2R CPmix = 2R + R = 3R γ = 3R/2R = 3/2 So the answer is (c) 3/2.

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

One mole of ideal monatomic gas $(\gamma = 5/3)$ is mixed with one mole of diatomic gas $(\gamma = 7/5)$ . What is $\gamma$ for the mixture? $\gamma$ Denotes the ratio of specific heat at constant pressure, to that at constant volume

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Answer: (c)

$C_V^{mix} = \dfrac{1.5R + 2.5R}{2} = 2R$
$C_P^{mix} = 2R + R = 3R$
$\gamma = \dfrac{3R}{2R} = \dfrac{3}{2}$
So the answer is (c) $3/2$ .

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Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2004 (AIEEE)

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