Chemical Equilibrium

The equilibrium composition for the reaction \(\mathrm{PCl}_{3}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{PCl}_{5}\) at \(298 \mathrm{~K}\) is given below:

\(\left[\mathrm{PCl}_{3}\right]_{\mathrm{eq}}=0.2 \mathrm{~mol} \mathrm{~L}^{-1},\left[\mathrm{Cl}_{2}\right]_{\mathrm{eq}}=0.1 \mathrm{~mol} \mathrm{~L}^{-1},\left[\mathrm{PCl}_{5}\right]_{\mathrm{eq}}=0.40 \mathrm{~mol} \mathrm{~L}^{-1}\)

If \(0.2 \mathrm{~mol}\) of \(\mathrm{Cl}_{2}\) is added at the same temperature, the equilibrium concentrations of \(\mathrm{PCl}_{5}\) is __________ \(\times 10^{-2} \mathrm{~mol} \mathrm{~L}^{-1}\)

Given : \(\mathrm{K}_{\mathrm{c}}\) for the reaction at \(298 \mathrm{~K}\) is 20