Electroplating is a way to coat a complex metal object with a very thin (and hen

Question

Electroplating is a way to coat a complex metal object with a very thin (and hence inexpensive) layer of a precious metal, such as silver or gold. In essence the metal object is made the cathode of an electrolytic cell in which the precious metal cations are dissolved in aqueous solution. Suppose a current of 0.100 A is passed through an electroplating cell with an aqueous solution of AgNO_3 in the cathode compartment for 67.0 seconds. Calculate the mass of pure silver deposited on a metal object made into the cathode of the cell. Be sure your answer has a unit symbol and the correct number of significant digits.

Explanation / Answer

From the faraday first law,

w = ( E/F ) x i x t

E = equivalent weight = 107.8

F = faraday = 96500 C

i = 0.100 amp

t = 67.0 sec

=> w = ( 107.8 / 96500 ) x 0.100 x 67.0

=> w = 7.48 x 10^-3 g

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