For a cell reaction, A(s)+B²⁺(a q) A²⁺(a q)+B(s) ; the standard emf of the cell is 0.295 ~V at 25^ C . The equilibrium constant at 25^ C will be

Step-by-step solution

The cell reaction is A(s) + B²⁺(aq) A²⁺(aq) + B(s) . The number of electrons transferred in the reaction is n = 2 . The relationship between the standard cell potential E^ _ cell and the equilibrium constant K_ eq is given by the Nernst equation at 25^ C (298 K): E^ _ cell = 0.0591 n K_ eq Substituting the given values E^ _ cell = 0.295 V and n = 2 : 0.295 = 0.0591 2 K_ eq K_ eq = 0.295 2 0.0591 K_ eq = 0.59 0.0591 10 K_ eq = 10¹⁰ Answer: 1 10¹⁰