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Q. $A$ and $B$ are two identical vessels. $A$ contains $15\, g$ of ethane at $298 \,K$ and $1$ atm. The vessel $B$ contains $75\, g$ gas $X_{2}$ at the same temperature and pressure. The vapour density of $X_{2}$ is :

Solution:

$P _{1} V _{1}=\frac{ w _{1}}{30} RT _{1} ; \,\,\,\left( w _{1}=15\right)$
$P _{2} V _{2}=\frac{ w _{2}}{ M } RT _{2} ; \,\,\,\left( w _{2}=75\right)$
If $P _{1}= P _{2}, V _{1}= V _{2}, T _{1}= T _{2}$,
Then $M =150$, also V.D. $= M / 2=$
$\frac{150}{2}=75$