A container contains 2 moles of an ideal gas at 27°C. It is heated to 327°C. Match Column I (paramet — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Temperature doubles from 300 K to 600 K. Mean free path $\lambda \propto V/N$: at constant volume, factor is 1 (P); at constant pressure $V \propto T$, so $\lambda$ doubles, factor 2 (S). Collision number $Z_1 \propto (N/V)\sqrt{T}$: at constant volume $N/V$ is constant, factor is $\sqrt{2}$ (Q); at constant pressure $N/V \propto 1/T$, so $Z_1 \propto 1/\sqrt{T}$, factor is $1/\sqrt{2}$ (R). Collision frequency $Z_{11} \propto (N/V)^2 \sqrt{T}$: at constant volume, factor is $\sqrt{2}$ (Q); at constant pressure $Z_{11} \propto 1/T^{1.5}$, factor is $1/2\sqrt{2}$ (not listed). Therefore, correct answer is 1-A, 1-D, 2-B, 2-C, 3-B.