Chapter 15.3, Problem 4PPA

The following reactions have the indicated equilibrium constants at a particular temperature

$\begin{array}{cc}{\text{N}}_{\text{2}}\left(g\right)+{\text{O}}_{\text{2}}\left(g\right)\rightleftarrows \text{2NO}\left(g\right)& Kc=4.3\times {10}^{-25}\\ \text{2NO}\left(g\right)+O_2\left(g\right)\rightleftarrows {\text{2NO}}_{\text{2}}\left(g\right)& K_c=6.4\times {10}^9\end{array}$

Determine the values of the equilibrium constants for the following equations at the same temperature: $\left(\text{a}\right)\text{2NO}\left(g\right)\rightleftarrows {\text{N}}_{\text{2}}\left(g\right)+{\text{O}}_{\text{2}}\left(g\right),\left(\text{b}\right){\text{N}}_{\text{2}}\left(g\right)+{\text{O}}_{\text{2}}\left(g\right)\rightleftarrows \text{NO}\left(g\right),\text{and }\left(\text{c}\right){\text{N}}_{\text{2}}\left(g\right)+{\text{2O}}_{\text{2}}\left(g\right)\rightleftarrows {\text{2NO}}_{\text{2}}\left(g\right).$