Calculate the equilibrium constant at 25 ^ C for the cell reaction, Ni(s) + Cu ²⁺(1 M ) Ni ²⁺(1 M ) + Cu(s) if E^ _ cell is 0.592 V .

Step-by-step solution

The given cell reaction is Ni(s) + Cu ²⁺(1 M ) Ni ²⁺(1 M ) + Cu(s) . The number of electrons transferred in the reaction is n = 2 . The relationship between the standard cell potential and the equilibrium constant K_c at 25 ^ C is given by: E^ _ cell = 0.0592 n K_c Substituting the given values: 0.592 = 0.0592 2 K_c K_c = 0.592 2 0.0592 K_c = 20 K_c = 10²⁰ = 1.0 10²⁰ Answer: 1.0 10²⁰