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Volume of Gases and Number of Moles

A gas occupie...

Question

A gas occupies 500 mL at $25^{o}$ C and 745 mm pressure. What would be its volume at S.T.P.?

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Solution

Given $P_{1} = 745 m m$
$V_{1} = 500 m l$
Temp. $= 25^{\circ} c = 298 K$
At stp
$P_{2} = 1 a t m = 760 m m$
$V_{2} = ?$
Temp $= 273 K$
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
$\frac{745 \times 500}{298} = \frac{760 \times V_{2}}{273}$
$V_{2} = 449.01 m l$

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