At T(K) , the equilibrium constant of A₂(g) + B₂(g) C(g) is 2.7 10⁻⁵ . What is the equilibrium constant for 1 3 A₂(g) + 1 3 B₂(g) 1 3 C(g) at the same temperature?

Step-by-step solution

For the reaction A₂(g) + B₂(g) C(g) , the equilibrium constant is K₁ = 2.7 10⁻⁵ . When a reaction is multiplied by a factor n , the new equilibrium constant becomes K^n . The given reaction is multiplied by 1 3 to obtain the reaction 1 3 A₂(g) + 1 3 B₂(g) 1 3 C(g) . The new equilibrium constant K₂ is given by: K₂ = (K₁)^ 1/3 K₂ = (2.7 10⁻⁵)^ 1/3 K₂ = (27 10⁻⁶)^ 1/3 K₂ = 3 10⁻² Answer: 3 10⁻²