For the reaction ${\mathrm{N}}_{2\left(\mathrm{g}\right)} + {\mathrm{O}}_{2\left(\mathrm{g}\right)} \rightleftharpoons 2{\mathrm{NO}}_{\left(\mathrm{g}\right)},$ the value of ${\mathrm{K}}_{\mathrm{C}}$ at ${800}^0\mathrm{C}$ is 0.1. When the equilibrium concentrations of both the reactants is 0.5 mol, what is the value of ${\mathrm{K}}_{\mathrm{P}}$ at the same temperature