Q14 / 155 · WBJEE 2020 · Chemistry

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

  • Correct answer
    A
    $15: 16$
  • B
    $1: 1$
  • C
    $1: 4$
  • D
    $1: 6$

Solution

Hint: Let mass of ethane and $\mathrm{H}_{2}$ are $\mathrm{xg}$. $\begin{array}{c} n_{\mathrm{H}_{2}}=\frac{\mathrm{x}}{2} \text { and } \mathrm{n}_{\mathrm{C}_{2} \mathrm{H}_{\mathrm{z}}}=\frac{\mathrm{x}}{30} \\ \frac{\mathrm{P}_{\mathrm{H}_{2}}}{\mathrm{P}_{\mathrm{T}}}=\frac{\mathrm{n}_{\mathrm{H}_{2}}}{\mathrm{n}_{\mathrm{H}_{2}}+\mathrm{n}_{\mathrm{C}_{2} \mathrm{H}}}=\frac{\frac{\mathrm{x}}{2}}{\frac{\mathrm{X}}{2}+\frac{\mathrm{x}}{30}}=\frac{15}{16} \end{array}$

Hence, the correct answer is option: 'A'.

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