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MHT CET 2024 (16 May, 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 2024 (16 May, Shift 2)

Q13MHT CET 2024 · 16 MAY · SHIFT 2Easy

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

The ratio of the specific heats CpCv=γ\frac{C_p}{C_v} = \gamma, in terms of degrees of freedom ( n) is

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Answer: (b)

  1. Cv=n2RC_v = \frac{n}{2}R, Cp=Cv+R=(n2+1)RC_p = C_v + R = \left(\frac{n}{2}+1\right)R.
  2. γ=CpCv=1+2n\gamma = \frac{C_p}{C_v} = 1 + \frac{2}{n}
  3. So the answer is (b) (1+2n)\left(1 + \frac{2}{n}\right).
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