Calculate the EMF of the cell: Zn|Zn²⁺(0.1 M)||Cu²⁺(0.01 M)|Cu Given: E°Zn²⁺/Zn = -0.76 V, E°Cu²⁺/Cu = +0.34 V — JEE Chemistry
Calculate the EMF of the cell: $Zn|Zn^{2+}(0.1 M)||Cu^{2+}(0.01 M)|Cu$
Given: $E°_{Zn^{2+}/Zn} = -0.76$ V, $E°_{Cu^{2+}/Cu} = +0.34$ V
1 Answer
$$E°_{cell} = E°_{cathode} - E°_{anode} = 0.34 - (-0.76) = 1.10 V$$
Using Nernst equation ($n = 2$, $T = 298$ K):
$$E = E° - \frac{0.0591}{n}\log Q = 1.10 - \frac{0.0591}{2}\log\frac{[Zn^{2+}]}{[Cu^{2+}]}$$
$$= 1.10 - 0.02955\times\log\frac{0.1}{0.01} = 1.10 - 0.02955\times1$$
$$E = 1.07 V$$