${\mathrm{PCl}}_5\left(\mathrm{g}\right)$ decomposes according to following reaction,

${\mathrm{PCl}}_5\left(\mathrm{g}\right)\to {\mathrm{PCl}}_3\left(\mathrm{g}\right)+{\mathrm{Cl}}_2\left(\mathrm{g}\right)$

Calculate density (in g/L) of mixture at 24atm and 300K, when ${\mathrm{PCl}}_5\left(\mathrm{g}\right)$ undergo 50% decomposition. 

$\left[R=0.08\mathrm{atmL}{\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}\right]$