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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?

1 Answer

4 votes

Answer:

127.013 C

Step-by-step 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=(Atomic \ mass \ of \ substance)/(Faraday's \ Constant)\\\\=(107.8682)/(96485)\\\\=0.001118\ g/C\\\\\\Q=(m)/(Z)\\\\m=\bigtriangleup m=1.9274-1.7854=0.142 \ g\\\\\therefore Q=(0.142\ g)/(0.001118g/C)\\\\=127.013 \ C

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

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