Question #140290

Write nernst equation for Zn and Cu electrode considering both behave as metal metal ion electrode

Expert's answer

The overall reaction is:

Zn(s) + Cu2+(aq) --> Zn2+(aq) + Cu(s)

At 298K, the Nernst equation in general can be represented as


Ecell=Ecell00.0591VnlogQE_{cell}=E^0_{cell}-\frac{0.0591V}{n}logQ .

In this case n=2n=2 as there are 2 electrons transferred in the cell reaction, and

Q=[Zn2+][Cu2+]Q=\frac{[Zn^{2+}]}{[Cu^{2+}]}. Therefore, the overall equation is:


Ecell=Ecell00.0591V2log[Zn2+][Cu2+]E_{cell}=E^0_{cell}-\frac{0.0591V}{2}log\frac{[Zn^{2+}]}{[Cu^{2+}]}


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