Gaseous Benzene reacts with hydrogen gas in presence of a Nickel catalyst to form gaseous cyclohexane according to the Reaction
$C_{6} H_{6} + 3 H_{2} ⟶ C_{6} H_{12}$
A mixture of $C_{6} H_{6}$ and excess $H_{2}$ has a pressure of 60mm of Hg in an unknown volume. After the gas had been passed over a Ni catalyst and all the benzene converted to cyclohexane, the pressure of the gas was 30mm of Hg in the same volume at the same temperature. The fraction of $C_{6} H_{6}$ (by volume) present in the original volume is

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Solution

The correct option is D
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Let initial pressure of $C_{6} H_{6} = P_{1} m m .$ And that of $H_{2} = P_{2} m m .$
$∴ P_{1} + P_{2} = 60 m m . ⟶ (1)$
After the Reaction, pressure of $C_{6} H_{6} = 0$
(As all has reacted)
Pressure of $H_{2} = P_{2} - 3 P_{1}$
Pressure of $C_{6} H_{16} = P_{1}$

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