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Laws of Definite Proportions, Multiple Proportions

A mixture of ...

Question

A mixture of hydrogen gas and oxygen gas exerts a total pressure of 10 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.

A

0.9

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B

0.1

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C

0.6

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D

0.5

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Solution

The correct option is A 0.9
Given, $P_{h y d r o g e n}$ = 1 atm, $P_{t o t a l}$ = 10 atm

Applying Dalton’s law formula, $P_{t o t a l} = P_{h y d r o g e n} + P_{o x y g e n}$

Therefore, $P_{o x y g e n}$ = 9 atm

Now, the mole fraction of oxygen, $X_{o x y g e n} = \frac{P_{o x y g e n}}{P_{t o t a l}} = \frac{9}{10} = 0.9$

Therefore, the mole fraction of oxygen in the mixture is 0.9.

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