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The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If γ = Cp / Cv and R is the universal gas constant, then Cv is equal to
- R / (γ - 1)
- (γ - 1) / R
- γR
- (1 + γ) / (1 - γ)
Correct answer: R / (γ - 1)
Solution
The relationship between Cp, Cv, and γ for an ideal gas is given by Cp - Cv = R and γ = Cp / Cv. Rearranging these equations, Cv = R / (γ - 1).
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