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Question

Chemistry Question on Gibbs Free Energy

The standard electrode potential for Daniell cell is 1.1 V. The standard Gibbs free energy for the reaction Zn(s) + Cu2+^{2+}(aq) → Zn2+^{2+}(aq) + Cu(s) is approximately:

A

-212.27 J/mol

B

-21.22 J/mol

C

-212271.4 J/mol

D

-2.1227 J/mol

Answer

-212.27 J/mol

Explanation

Solution

Using the formula for Gibbs free energy change, \Delta G^{\circ} = -n \times F \times E^{\circ} \\\ = -2 \times 96485 \text{ C/mol} \times 1.1 \text{ V} \\\ = -212271 \text{ J/mol} \\\ \approx -212.27 \text{ kJ/mol}$$\\\The calculation gives -212.27 J/mol as the result.