Question

A sample of a gas occupies a volume of $512mL$ at ${20}^{\circ }C$ and $74cm$ of $Hg$ as pressure. What volume would this gas occupy at STP?

Answer 1

$P_1=74cmHg$
$P_2=76cmHg$

$V_1=512mL$

$T_1=20+273=293K$

$P_2=1atm$=76 cm Hg

$T_2=273K$

We know that $\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$V_2=\frac{74\times 512\times 273}{76\times 293}=464.5mL$