Question

Equal masses of ethane and hydrogen are mixed in a empty container at \(298 \mathrm{~K}\). The fraction of total pressure exerted by hydrogen is
(A) \(15: 16\)
(B) \(1: 1\)
(C) \(1: 4\)
(D) \(1: 6\)

Answer 1

Ans: (A)
 Let mass of ethane and \(\mathrm{H}_{2}\) are \(\mathrm{x} \mathrm{g}\).
$$
\mathrm{n}_{\mathrm{H}_{2}}=\frac{\mathrm{x}}{2} \text { and } \mathrm{n}_{\mathrm{C}_{2} \mathrm{H}_{\mathrm{G}}}=\frac{\mathrm{x}}{30}
$$
$$
\frac{P_{H_{2}}}{P_{T}}=\frac{n_{H_{2}}}{n_{H_{2}}+n_{C_{2} H_{3}}}=\frac{\frac{x}{2}}{\frac{x}{2}+\frac{x}{30}}=\frac{15}{16}
$$