Question

An inexpensive and accurate method of measuring the quantity of electricity passing through a circuit is to pass it through a solution of a metal ion and weigh the metal deposited. A silver electrode immersed in an Ag solution weighs 1.7854 g before the current passes and weighs 1.9274 g after the current has passed. how many coulombus have passed?

Answer 1

Answer:

127.013 C

Explanation:

-We apply Faraday's First Law of Electrolysis which states that the mass,m of a substance deposited is directly proportional to the current,Q passed through it:

$m=ZQ$

Where Z is the proportionality constant(g/C)

-The current can therefore be calculated as:

$m=ZQ\\\\Z=\frac{Atomic \ mass \ of \ substance}{Faraday's \ Constant}\\\\=\frac{107.8682}{96485}\\\\=0.001118\ g/C\\\\\\Q=\frac{m}{Z}\\\\m=\bigtriangleup m=1.9274-1.7854=0.142 \ g\\\\\therefore Q=\frac{0.142\ g}{0.001118g/C}\\\\=127.013 \ C$

Hence, the amount of current through the circuit is 127.013 C