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MHT CET 2026 (13 Apr, Shift 2) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from MHT CET 2026 (13 Apr, Shift 2)

Q7MHT CET 2026 · 13 APR · SHIFT 2Medium

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

Let γ1\gamma_1 be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a mono-atomic gas and γ2\gamma_2 be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, γ1/γ2\gamma_1/\gamma_2 is

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Answer: (c)

  1. Monoatomic: γ1=53\gamma_1 = \dfrac{5}{3}; rigid diatomic: γ2=75\gamma_2 = \dfrac{7}{5}.
  2. γ1γ2=53×57=2521\dfrac{\gamma_1}{\gamma_2} = \dfrac{5}{3}\times\dfrac{5}{7} = \dfrac{25}{21}
  3. So the answer is (c) 25/2125/21.
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