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Question

Chemistry Question on Nernst Equation

The electrode potential E(Zn2+Zn)_{\left(\frac{Zn^{2+}}{Zn}\right)} of a zinc electrode at 25^{\circ}C with an aqueous solution of 0.1M ZnSO4ZnSO_4 is (E^{\circ} (Zn2+Zn)_{\left(\frac{Zn^{2+}}{Zn}\right)} = -0.76 V. Assume 2.303RTF=\frac{2.303RT}{F} = 0.06 at 298 K)

A

0.73

B

-0.79

C

-0.82

D

-0.7

Answer

-0.79

Explanation

Solution

For Zn+2ZnZn^{+2} \longrightarrow Zn Ezn+/zn=Ezn+2/zn2.303RTnFlog[zn][zn+2]E_{z_{n}}^{+} / z_{n} =E_{z_{n}^{+2} / z_{n}}^{\circ}-\frac{2.303 R T}{n F} \log \frac{\left[z_{n}\right]}{\left[z_{n}^{+2}\right]} =0.760.062log10.1=0.760.03=-0.76-\frac{0.06}{2} \log \frac{1}{0.1}=-0.76-0.03 Ezn+2/zn=0.79VE_{z_{n}}^{+2} / z_{n} =-0.79\, V