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Chemistry Question on Electrolysis

\text{A constant current was passed through a solution of AuCl}_4^- \text{ ion between gold electrodes. After a} \\\\\text{period of 10.0 minutes, the increase in mass of cathode was 1.314 g. The total charge passed} \\\ \text{through the solution is \\_\\_\\_\\_\\_\\_\\_\\_} \times 10^{-2} \, \text{F.} \\\ (Given atomic mass of Au = 197)\text{(Given atomic mass of Au = 197)}

Answer

Solution:

WE=charge1F\frac{W}{E} = \frac{\text{charge}}{1F}

Substitute the values:
1.3141973=Q1F\frac{1.314}{\frac{197}{3}} = \frac{Q}{1F}

Q=2×102FQ = 2 \times 10^{-2} F

The Correct Answer is: 2