A polyatomic ideal gas has gamma = C_P/C_V = 1.30. Taking R = 8.314 J mol^-1K^-1, find C_V in J mol^-1K^-1 (two decimals).

JEE Main levelNumerical answerDifficulty 2 of 3td185

A polyatomic ideal gas has $γ = C_{P} / C_{V} = 1.30$ . Taking $R = 8.314 J mo l^{- 1} K^{- 1}$ , find $C_{V}$ in $J mo l^{- 1} K^{- 1}$ (two decimals).

Numerical answer type, answer in J mol^-1 K^-1, tolerance 0.01.

With

C_{P} = C_{V} + R

γ = 1 + R / C_{V}

, so

C_{V} = R / (γ - 1) = 8.314/0.30 = 27.71 J mo l^{- 1} K^{- 1}