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Equal weights of methane and oxygen are ...

Equal weights of methane and oxygen are mixed in an empty container at `25^(@)C`. The fraction of the total pressure exerted by oxygen is

A

`(2)/(3)`

B

`(1)/(3) xx (273)/(298)`

C

`(1)/(3)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the masses of methane and oxygen are `w g` each.
Mole fraction of oxygen
`= ((w)/(32))/((w)/(32) + (w)/(16)) = ((1)/(32))/((1)/(32) + (1)/(16)) = ((1)/(32))/((3)/(32)) = (1)/(3)`
Let the total pressure be `P`.
The pressure exterted by oxygen (partial pressure) `= X_(O_(2)) xx P_("total") = P xx(1)/(3)`
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