Question

A quantity of hydrogen gas occupies a volume of 30.0 $mL$ at a certain temperature and pressure. What volume would half this mass of hydrogen occupy at triple the absolute temperature if the pressure were one-ninth that of the original gas? (in $mL$) Write the ans in the form of $x\times 100$.

Answer 1

According to ideal gas equation:
$P_1{V}_1=n_{1}R{T}_1$
$P_2{V}_2=n_{2}R{T}_2$
$\frac{P_2{V}_2}{P_1{V}_1}=\frac{n_2{T}_2}{n_1{T}_1}$
$\frac{P_1}{9P_1}\frac{V_2}{30}=\frac{1}{2}\frac{n_1}{n_1}\frac{3T_1}{T_1}$
$V_2=405mL$