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  4. The volume occupied by 9.0 g of nitrogen gas at 300 K and 750 mm Hg pressure is:

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Q. The volume occupied by $9.0\, g$ of nitrogen gas at $300 \,K$ and $750 \,mm \,Hg$ pressure is:

AFMCAFMC 2001

Solution:

$P V=\frac{w}{M} R T$
Let $V$ be the volume occupied
$P=750 \,mm =\frac{750}{760} $ atm
$V=? $
$w=9 \,g, T=300 \,K $
$V=\frac{w R T}{M P}$
$=\frac{9 \times 0.082 \times 300 \times 760}{28 \times 750}$
$=8.0125\, L$