Equal masses of ethane and hydrogen are mixed in an empty container at $25^{o} C$ . The fraction of total pressure exerted by hydrogen is ___.

1 : 2

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1 : 1

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1 : 16

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15 : 16

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Solution

The correct option is D $15 : 16$
$p_{H_{2}} = X_{H_{2}} . p$
$p_{H_{2}} = \frac{w_{H_{2}} / M_{H_{2}}}{\frac{w_{H_{2}}}{M_{H_{2}}} + \frac{w_{C_{2} H_{6}}}{M_{C_{2} H_{6}}}} . p$
$p_{H_{2}} = \frac{a / 2}{(a / 2) + (a / 30)} . p$
$p_{H_{2}} = \frac{a \times 30}{2 \times 16 a} . p$
$\frac{p_{H_{2}}}{p} = \frac{15}{16}$

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