If the equilibrium constant for N _ 2(g) + O _ 2(g) 2 NO _ (g) is 49 The equilibrium constant for the reaction NO _ (g) 1 2 N _ 2(g) + 1 2 O _ 2(g) is __________

Step-by-step solution

For the given reaction N _ 2(g) + O _ 2(g) 2 NO _ (g) , the equilibrium constant is K₁ = 49 . The required reaction is NO _ (g) 1 2 N _ 2(g) + 1 2 O _ 2(g) . This reaction is obtained by reversing the given reaction and multiplying the stoichiometric coefficients by 1 2 . The new equilibrium constant K₂ is related to K₁ as: K₂ = (K₁)^ - 1 2 = 1 K₁ Substituting the value of K₁ : K₂ = 1 49 = 1 7 0.143 Answer: 0.143