As an environmental chemist, you want to find the Kc for the following reaction: 2 NO2 (g) ⇌ N2 (g) + O2 (g) Kc = ? Use the following data to find the unknown Kc : ½ N2(g) + ½ O2(g) ⇌ NO (g) Kc = 4.8 x 10-10 2 NO2(g) ⇌ 2 NO (g) + O2 (g) Kc = 1.1 x 10-5

Your post flawed. The equation you want is not balanced. It should be

2NO2(g) ==> N2(g) + 2O2(g)

Take eqn 1, multiply by 2 and reverse it. k' for the new equn is 1/k^2.
Add eqn 2 as is with k2. The K for the desired reaction is Kc = k2*k'.