0 moles of argon and 5.0 moles of PCl_5 are introduced into an evacuated flask of 100 litre capacity at 610 K. The system is allowed to equilibrate.…

$\displaystyle 0$ moles of argon and $\displaystyle 5.0$ moles of $\displaystyle \mathrm{PCl}_5$ are introduced into an evacuated flask of $\displaystyle 100$ litre capacity at $\displaystyle 610$ K . The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be $\displaystyle 6.0$ atm. The $\displaystyle \mathrm{K}_{\mathrm{p}}$ for the reaction is [Given: $\displaystyle \mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ ]