Question

A gas cylinder contains $370g$ of $O_2$ at $30atm$ and ${25}^{o}C$. What mass of $O_2$ would escape if first the cylinder were heated to ${75}^{o}C$ and then the valve were held open until the gas pressure was $1atm$, the temperature being maintained at ${75}^{o}C$?

Answer 1

$W_i=370g,P_i=30atm,T_i=298K$

$P_f=1atm,T_f=273+75=348K$.

Since volume is constant

$V=\frac{nRT}{P}=constant\Rightarrow \frac{n_1{T}_1}{P_1}=\frac{n_2{T}_2}{P_2}$

$\frac{\frac{370}{32}\times 298}{30}=\frac{\frac{W_2}{32}\times 348}{1}\Rightarrow W_2=\frac{370\times 298}{30\times 348}=10.56g$

$\therefore$ So wt removed $=370-10.56=359.44g$