(Solved): The following reactions have the indicated equilibrium constants at a particular temperature: \[ \b ...

The following reactions have the indicated equilibrium constants at a particular temperature: \[ \begin{array}{ll} \mathrm{N}_{2}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{NO}(g) & K_{\mathrm{c}}=4.3 \times 10^{-25} \\ 2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{NO}_{2}(g) & K_{\mathrm{c}}=6.4 \times 10^{9} \end{array} \] Determine the values of the equilibrium constants for the following equations at the same temperature: (a) \( 4 \mathrm{NO}(g) \rightleftharpoons \mathrm{N}_{2}(g)+2 \mathrm{NO}_{2}(g) \) \( \times 10 \) (b) \( 4 \mathrm{NO}_{2}(g) \div 2 \mathrm{~N}_{2}(g)+4 \mathrm{O}_{2}(g) \) \( \times 10 \) (c) \( 2 \mathrm{NO}(g)+2 \mathrm{NO}_{2}(g) \rightleftharpoons 3 \mathrm{O}_{2}(g)+2 \mathrm{~N}_{2}(g) \) \( \times 10 \)