Exactly of an unknown gas at occupies the same volume as of gas at and at the same constant pressure — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Since volume and pressure are the same, $V = n_1RT_1/P = n_2RT_2/P$, thus $n_1T_1 = n_2T_2$. For the unknown gas: $n_1 = 3.7/M$, $T_1 = 298\text{ K}$. For $H_2$: $n_2 = 0.184/2 = 0.092$, $T_2 = 290\text{ K}$. Therefore, $(3.7/M) \times 298 = 0.092 \times 290 \implies M = (3.7 \times 298) / (0.092 \times 290) = 1102.6 / 26.68 \approx 41.33$. The nearest integer is 41.