Calculate the volume occupied by $0.5$ kg of dimethylether $C_2H_6O$ (gas), at $15^oC$ and $950$ mm Hg.
$n$ $=$ $\frac{m}{M}$ $760 \;mm \;Hg$ $ =$ $ 1 \;atm$
$n$ $=$ $\frac{m}{M}$ $=$ $\frac{500}{46}\;mol$ $P$ $=$ $\frac{950}{760}\;atm$ $V$ $=$ $\frac{nRT}{P}$ $=$ $\frac{500\cdot 0.082\cdot 288\cdot 760}{46\cdot 950}$ $=$ $205.4\;L$
