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Ideal Gas Equation

A gas occipie...

Question

A gas occipies $700 m l$ at S.T.P. Find the volume occupied by the gas when its pressure is $400 m m$ of Hg and its temperature $15^{o} C$

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Solution

$V_{1} = 700 m l P_{1} = 1 a t m = 760 m m H g T_{1} = 298 K$ $V_{2} = ? P_{2} = 400 m m H g T_{1} = 288 K$
Here number of moles is constant.
$∴ \frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}} V_{2} = \frac{P_{1} \times V_{1} \times T_{2}}{T_{1} \times P_{2}} = \frac{760 \times 700 \times 288}{298 \times 400} = 1285.37 m l$
$∴$ Volume occupied by gas is $1285.37 m l .$

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