The zinc/silver oxide cell is used in electric watches. The reaction is as following,
Zn2++2e-→Zn;E°=-0.760 V
Ag2O+H2O+2e-→2Ag+2OH-;E°=0.344 V
If F is 96,500Cmol-1,ΔG° of the cell will be
ΔG0 = −nFE0
From the reaction, n = 2
ΔG0 = −296500 Ecello .........(1)Ecello = Ecathodeo − EanodeoZn+2 + 2e− → Zn, E0=−0.76VAg2O+H2O+2e¯ → 2Ag+2OH−, E0=+0.344V
SRP value of Ag2O half cell is high ∴ it acts like cathodeThus … Anode ; Zn→Zn+2 +2e-; Cathode; Ag2O +H2O +2e-→ 2Ag +2OH-
Zn +Ag2O+H2O → Zn+2 + 2Ag + 2OH− Ecello = +0.344−−0.76
= + 1.104 VSubstituting the value in ---(1)ΔG0 = −296.5 1.104kJ
= –213.072 kJ