The equilibrium composition for the reaction for the reaction \( \mathrm{PCl_3} + \mathrm{Cl_2} \rightleftharpoons \mathrm{PCl_5} \) at \( 298 \, \text{K} \) is given below:
\( [\mathrm{PCl_3}]_{\mathrm{eq}} = 0.2 \, \text{mol} \, \text{L}^{-1}, \; [\mathrm{Cl_2}]_{\mathrm{eq}} = 0.1 \, \text{mol} \, \text{L}^{-1}, \; [\mathrm{PCl_5}]_{\mathrm{eq}} = 0.40 \, \text{mol} \, \text{L}^{-1} \)
If \( 0.2 \, \text{mol} \) of \( \mathrm{Cl_2} \) is added at the same temperature the equilibrium concentrations of \( \mathrm{PCl_5} \) is ________ \( \times 10^{-2} \, \text{mol} \, \text{L}^{-1} \)
Given: \( K_c \) for the reaction at \( 298 \, \text{K} \) is \( 20 \)