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Second law of thermodynamics - class-XI

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For a gas $\cfrac{R}{C _{p}}=0.4$. For this gas calculate the following-

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A
value of $C _{v}$ and $\gamma$
💡 Explanation:

Given R/Cp = 0.4, we find Cp = R/0.4 = 2.5R. Since Cp - Cv = R, we get Cv = 1.5R. The ratio of specific heats γ = Cp/Cv = 2.5R/1.5R = 5/3 = 1.67. This corresponds to a monatomic gas with f = 3 degrees of freedom. Option B correctly asks for Cv and γ values, which are the natural quantities to calculate from the given.

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