Answer: The potential of electrode is -0.79 V
Explanation:
When zinc is dipped in zinc sulfate solution, the electrode formed is [tex]Zn^{2+}(aq.)/Zn(s)[/tex]
Reduction reaction follows: [tex]Zn^{2+}(0.1M)+2e^-\rightarrow Zn(s);(E^o_{Zn^{2+}/Zn}=-0.76V)[/tex]
To calculate the potential of electrode, we use the equation given by Nernst equation:
[tex]E_{(Zn^{2+}/Zn)}=E^o_{(Zn^{2+}/Zn)}-\frac{0.059}{n}\log \frac{[Zn]}{[Zn^{2+}]}[/tex]
where,
[tex]E_{cell}[/tex] = electrode potential of the cell = ?V
[tex]E^o_{cell}[/tex] = standard electrode potential of the cell = -0.76 V
n = number of electrons exchanged = 2
[tex][Zn]=1M[/tex] (concentration of pure solids are taken as 1)
[tex][Zn^{2+}]=0.1M[/tex]
Putting values in above equation, we get:
[tex]E_{cell}=-0.76-\frac{0.059}{2}\times \log(\frac{1}{0.1})\\\\E_{cell}=-0.79V[/tex]
Hence, the potential of electrode is -0.79 V