Four moles of hydrogen, two moles of helium and one mole of water vapour form an ideal gas mixture. [Cv for hydrogen = 5/2R, Cv for helium = 3/2R, Cv for water vapour = 3R] What is the molar specific heat at constant pressure of the mixture? (a) 11/3R (b) 23/7R (c) 16/7R (d) 23/3R

Answer: (b). CVmix = (4(2.5R) + 2(1.5R) + 1(3R))/(7) = 16R/7 CPmix = CVmix + R = 23/7R So the answer is (b) 23/7R.

Four moles of hydrogen, two moles of helium and one mole of water… | MHT CET 2024 (15 May, Shift 1)

Q23MHT CET 2024 · 15 MAY · SHIFT 1Difficult

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

Four moles of hydrogen, two moles of helium and one mole of water vapour form an ideal gas mixture. $[C_v$ for hydrogen $= \frac{5}{2}R, C_v$ for helium $= \frac{3}{2}R, C_v$ for water vapour $= 3R]$ What is the molar specific heat at constant pressure of the mixture?

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Answer: (b)

$C_V^{mix} = \dfrac{4(2.5R) + 2(1.5R) + 1(3R)}{7} = \dfrac{16R}{7}$
$C_P^{mix} = C_V^{mix} + R = \dfrac{23}{7}R$
So the answer is (b) $\dfrac{23}{7}R$ .

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Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from MHT CET 2024 (15 May, Shift 1)

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