A mixture of hydrogen gas and oxygen gas exerts a total pressure of 1.5 atm on the walls of its container. If the partial pressure of hydrogen is 1 atm, find the mole fraction of oxygen in the mixture.

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1.33

3.33

0.33

2.33

answer is A.

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Detailed Solution

$\begin{array}{l} P_{h y d r o z e n} = 1 a t m \\ P_{t o t a l} = 1.5 a t m \\ F r o m D a l t o n' s L a w \\ P_{t o t a l} = P_{h y d r o z e n} + P_{O x y g e n} \\ 1.5 = 1 + P_{O x y g e n} \\ P_{O x y g e n} = 0.5 a t m \\ ∴ m o l e f r a c t i o n o f o x y g e n = X o_{2} = \frac{P_{O x y g e n}}{P_{t o t a l}} = \frac{0.5}{1.5} = 0.33 \end{array}$

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