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$A$ closed vessel contains equal number of Nitrogen and Oxygen molecules at a pressure of P mm. If Nitrogen is removed from the system then the pressure will be

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$P^{2}$

$\frac{P}{2}$

answer is C.

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Detailed Solution

; $PV = nRT; n_{1} = 1; n_{2} = \frac{n}{2} \frac{P_{1}}{P_{2}} = \frac{n_{1}}{n_{2}} = \frac{n}{\frac{n}{2}} = 2; P_{2} = \frac{P_{1}}{2}$

Since no. of molecules is halved so pressure should also be halved.

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