Question

How many grams of silver could be plated out on a serving tray by electrolysis of solution containing silver in +1 oxidation state for a period of 8 hours at a current of 8.46 ampers. What is the area of the tray if the thickness of the silver plating is 0.00254 cm? Density of silver is 10.5 g $c{m}^3$ .

• A. $1.02\times 10^{4}c{m}^2$
• B. $102\times 10^{4}c{m}^2$
• C. $10.2\times 10^{4}c{m}^2$
• D. None

Answer 1

Answer: (A)

$W=\frac{ECt}{F}$
$=\frac{107.8\times 8.46\times 8\times 60\times 60}{96500}=272.178\text{ g}$
Volume of silver $=\frac{wt.}{Density}$
$=\frac{272.178}{10.5}=25.9\text{ ml}$
Surface area $=\frac{Volume}{Thickness}$
$=\frac{25.95}{0.00254}$
$=1.02\times 10^{4}c{m}^2$