At (2000 mathrm{~K}), the free energy change in calories for the reaction [ mathrm{N}_{2}+mathrm{O}_{2} ightleftharpoons 2

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At \(2000 \mathrm{~K}\), the free energy change in calories for the reaction

\[ \mathrm{N}_{2}+\mathrm{O}_{2} \rightleftharpoons 2 \mathrm{NO} \]

is given by \(\Delta G^{0}=22000-2.5 T\). Calculate \(K_{p}\) at this temperature.

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