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The molar specific heat at constant pressure of an ideal gas is (7/2) R. The ratio of specific heat at constant pressure to that at constant volume is

1. 8/7
2. 5/7
3. 9/7
4. 7/5

Correct answer: 7/5

Solution

The molar specific heat at constant pressure, Cp, is given as (7/2)R. For an ideal gas, Cp - Cv = R. Solving for Cv, we get Cv = (7/2)R - R = (5/2)R. The ratio Cp/Cv = (7/2)R / (5/2)R = 7/5.

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