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Heat Capacity

A mixture of ...

Question

A mixture of $H_{2}$ and $O_{2}$ gases in a cylinder contains $10 g H_{2}$ and $64 g$ of $O_{2}$ . If the total pressure of the mixture of the gases in the cylinder is $35 bar$ , the partial pressure of $H_{2}$ gas is

A

2 bar

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B

5 bar

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C

25 bar

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D

20 bar

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Solution

The correct option is C $25 bar$
$n_{H_{2}} = \frac{10}{2} = 5 mol, n_{O_{2}} = \frac{64}{32} = 2 mol$
$χ_{H_{2}} = \frac{n_{H_{2}}}{n_{H_{2}} + n_{O_{2}}} = \frac{5}{5 + 2} = \frac{5}{7}$
$P_{H_{2}} = p . χ_{H_{2}} = 35 \times \frac{5}{7} = 25 bar$
$P_{O_{2}} = (32 - P_{H_{2}})$
$= (35 - 25) = 10 bar$

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