If standard emf of cell Zn _ ( s ) | Cu _ (1 M ) ⁺² | Ag _ (1 M ) ⁺¹ | Ag _ ( s ) is 1.55 V. What is electrical work done under standard conditions?

Step-by-step solution

The galvanic cell notation Zn _ ( s ) | Zn _ (1 M ) ⁺² | Ag _ (1 M ) ⁺¹ | Ag _ ( s ) indicates zinc oxidation and silver ion reduction. The balanced cell reaction is Zn _ ( s ) + 2 Ag ⁺¹_ ( aq ) Zn ⁺²_ ( aq ) + 2 Ag _ ( s ) , with n = 2 electrons transferred. The maximum electrical work is given by W_ elec = - G^ , where G^ = -nFE^ _ cell , yielding W_ elec = -nFE^ _ cell . Using E^ _ cell = 1.55 V and F = 96500 C/mol : W_ elec = -(2)(96500)(1.55) = -299150 J . Converting to kilojoules gives W_ elec = -299.15 kJ ,