The equilibrium constant for the disproportionation reaction 2 Cu ⁺( aq ) Cu ( s )+ Cu ²⁺( ag ) at 25^ C ( E ^ Cu ⁺ / Cu =0.52 ~V , E ^ Cu ²⁺ / Cu =0.16 ~V ) is

Step-by-step solution

The reaction array l 2 Cu ⁺( aq ) Cu ( s )+ Cu ²⁺( aq ) E _ cell = E _ cell ^ - 0.0592 1 [ Cu ²⁺ ] [ Cu ⁺ ]² array At equilibrium E _ cell =0 E _ cell ^ =0.0592 K _ c or, K _ c = 0.52-0.16 0.0592 K _ c =1.2 10⁶