Question

How many spoons can be electroplated by silver when $7$ ampere current is passed through electrolyte cell of $AgN{O}_3$ for $1.93$ hours? $0.01gmAg$ layer is deposited on each spoon. $(Ag=108g.mo{l}^{-1})$.

Answer 1

Charge passed through the electrolyte:

$Q=It$

$Q=7\times 1.93\times 3600$ C

$Q=48636C$

Reduction process:

$A{g}^{+}+e\to Ag$

One mole of electron charge ($96500C$) will produce 108 g Ag

Moles of electron$=\frac{48636}{96500}=0.504$

Total silver deposited:

$=0.504\times 108=54.432g$ Ag

coating on one spoon $=0.01g$ Ag

number of spoons coated $\times$ coating on 1 spoon = $54.432$

number of spoons coated =$\frac{54.432}{0.01}$

$=5443$ spoons