A gas occupies $300 m l$ at $27^{o} C$ and $730 m m$ pressure. What would be its volume at $S T P$ ?

52.44 m l

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152.44 m l

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262.24 m l

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3.5244 m l

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Solution

The correct option is D $262.24 m l$
$V_{2} = \frac{300}{1000} m L$

$P_{2} = \frac{730}{760} a t m$

$T_{2} = 300 K$

At STP, $V_{1} = ?$

$P_{1} = 1 a t m$

$T_{1} = 273 K$

From Ideal gas equation:

$\frac{P_{2} V_{2}}{T_{2}} = \frac{P_{1} V_{1}}{T_{1}}$

$V_{1}$ = 0.2622 litre

Volume (V) at STP = 262.2 mL

Hence, the correct answer is option C.

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