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A vessel contains two non-reactive gases...

A vessel contains two non-reactive gases oxygen (diatomic) and hydrogen (diatomic). The ratio of their partial pressure is 4:1. estimate the ratio of their number of molecules.

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The correct Answer is:
4

Let us denote oxygen gas by 1 and hydrogen gas by 2.
Here, `(P_1)/(P_2) = 4/1`
As particle pressure of a gas in a mixture is the pressure it would exerts for the same volume and temperature, if it alone occupied the vessel therefore for common `V` and `T`
`P_(1) V = mu_(1)RT` and `P_(2)V = mu_(2)RT`
`therefore (mu_1)/(mu_2) = (P_1)/(P_2) = 4/1`.
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