Q 11-12-130JEE MainJEE Main 2020 (4 Sep, Shift 1)Medium
Match the $\dfrac{C_p}{C_v}$ ratio for ideal gases with different type of molecules:
$$\begin{array}{|l|l|}\hline \text{Molecule type} & C_p/C_v \\ \hline \text{(A) Monoatomic} & \text{(I) } 7/5 \\ \hline \text{(B) Diatomic rigid molecules} & \text{(II) } 9/7 \\ \hline \text{(C) Diatomic non-rigid molecules} & \text{(III) } 4/3 \\ \hline \text{(D) Triatomic rigid molecules} & \text{(IV) } 5/3 \\ \hline \end{array}$$
Answer: (C) (A)–(IV), (B)–(I), (C)–(II), (D)–(III)
$\gamma = 1 + \dfrac2f$.
Monoatomic $f = 3$: $5/3$. Rigid diatomic $f = 5$: $7/5$. Non-rigid diatomic $f = 7$ (with vibration): $9/7$. Rigid triatomic (non-linear) $f = 6$: $4/3$.
Solution by Sreeraj P, M.Sc Physics