Answer:
27 J/(mol • K)
Explanation:
γ = Cp / Cv
We're given γ and we need to find Cp (heat capacity at constant pressure) per mole. First we need to find Cv (heat capacity at constant volume). Cv is defined as:
Cv = Cp − nR
where n is the number of moles and R is the ideal gas constant.
So:
γ = Cp / (Cp − nR)
γ (Cp − nR) = Cp
γ Cp − γnR = Cp
(γ − 1) Cp = γnR
Cp / n = γR / (γ − 1)
Given γ = 1.44 and R = 8.314 J/mol/K:
Cp / n = (1.44) (8.314 J/mol/K) / (1.44 − 1)
Cp / n = 27 J/mol/K
