The specific heat at constant pressure and at constant volume for an ideal gas are Cp and Cv and adiabetic & isothermal elasticities are Eɸ and Eθ respectively. What is the ratio of Eɸ and Eθ.
(A) (Cv / Cp)
(B) (Cp / Cv)
(C) Cp Cv
(D) [1 / CpCv]
Correct option: (B) (Cp / Cv)
Explanation:
[(Adiabetic elasticity) / (isothermal elasticity)] = (Eɸ / Eθ)
(Eɸ / Eθ) = (Ѵp / P) = Ѵ and Ѵ = (Cp / CV)
Hence (Eɸ / Eθ) = (Cp / CV)