An inexpensive and accurate method of measuring the quantity of electricity flowing through a circuit is to pass the current 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 has passed and weighs 1.8016 g after the current has passed. How many coulombs have passed?

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shaikhmohd0119 shaikhmohd0119 · Answer 1 · 2022-08-25T22:22:06+02:00

Total of 127.013 C of charge is passed

Given

weight of Ag solution before current has passed = 1.7854 g

weight of Ag solution after current has passed = 1.8016 g

Molecular mass of Ag = 107.86 g

Faraday's Constant = 96485

First of all we have to apply Faraday's First Law of Electrolysis i.e

m = ZQ

where

Z is propotionality constant (g/C)

Q is charge (C)

Hence,

Z = Atomic mass of substance/ Faraday's Constant

= [tex]\frac{107.86 g}{96485 C}[/tex]

= 0.0011178 g/C

Now ,

change in mass before and after the passing of current (Δm)

Δm = 1.8016g-1.7854g

= 0.0162g

Now amount of coulombs passed = [tex]\frac{0.142g}{0.0011178 g/C }[/tex]

amount of coulombs passed = 127.03524 C

Thus from the above conclusion we can say that amount of coulombs have passed is 127.03524 C

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