Match List-I with List-II. List-I: (A) Triatomic rigid gas, (B) Diatomic non-rigid gas, (C) Monoatomic gas, (D) Diatomic rigid gas. List-II: (I) Cp/Cv = 5/3, (II) Cp/Cv = 7/5, (III) Cp/Cv = 4/3, (IV) Cp/Cv = 9/7. Choose the correct match.
Options

Question

Match List-I with List-II. List-I: (A) Triatomic rigid gas, (B) Diatomic non-rigid gas, (C) Monoatomic gas, (D) Diatomic rigid gas. List-II: (I) Cp/Cv = 5/3, (II) Cp/Cv = 7/5, (III) Cp/Cv = 4/3, (IV) Cp/Cv = 9/7. Choose the correct match.

Options

G1 Physics · Accepted Answer

For an ideal gas with f active degrees of freedom, γ = Cp/Cv = 1 + 2/f. Triatomic rigid gas: f=6, γ = 1+2/6 = 4/3 ⇒ III. Diatomic non-rigid gas: f=7, γ = 1+2/7 = 9/7 ⇒ IV. Monoatomic gas: f=3, γ = 1+2/3 = 5/3 ⇒ I. Diatomic rigid gas: f=5, γ = 1+2/5 = 7/5 ⇒ II. Thus A–III, B–IV, C–I, D–II. Correct option: A.