Question

C_p and C_v denote the specific heat of oxygen per unit mass at constant Pressure and volume respectively, then 

(A) C_p – C_V = (R / 16) 

(B) C_p – C_v = R 

(C) C_p – C_v = 32 R 

(D) C_p – C_v = (R / 32)

Answer 1

Correct option: (D) C_p – C_v = (R / 32)

Explanation:

C_(P)1 – C_(V)1 = R….. if C_(P)1 & C_(V)1 are molar specific heats.

Molar mass of O₂ = 32

∴  C_p = (C_(p)1 / 32) & C_V = (C_(v)1 / 32)

∴ 32C_p – 32C_v = R

C_p – C_v­ = (R / 32)