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The following equilibrium constants are given: $$ \begin{aligned} &\mathrm{N}_{2}+3 \mathrm{~N}_{2} \rightleftharpoons 2 \mathrm{NH}_{3} ; \mathrm{K}_{1} \\ &\mathrm{~N}_{2}+\mathrm{O}_{2} \rightleftharpoons 2 \mathrm{NO} ; \mathrm{K}_{2} \\ &\mathrm{H}_{2}+\frac{1}{2} \mathrm{O}_{2} \rightleftharpoons \mathrm{H}_{2} \mathrm{O} ; \mathrm{K}_{3} \end{aligned} $$ The equilibrium constant for the oxidation of \(2 \mathrm{~mol}\) of \(\mathrm{NH}_{3}\) to give \(\mathrm{NO}\) is
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