The standard equilibrium constant $K_p^{\circ }$ for the reaction ${\mathrm{PCl}}_5\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{PCl}}_3\left(\mathrm{g}\right)+{\mathrm{Cl}}_2\left(\mathrm{g}\right)$ is 16. If the volume of the container is reduced to one half of its original volume, the value of $K_p^{\circ }$ for the reaction at the same temperature will be

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