Q.
Statement 1: For $PCl_5\left(g\right)\rightleftharpoons PCl_3\left(g\right) + Cl_2\left(g\right)$ If more $Cl_2$ is added the equilibrium will shift in backward direction hence equilibrium constant will decrease
Statement 2: Addition of inert gas to the equilibrium mixture at constant volume does not alter the equilibrium.
Equilibrium
Solution: