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 goto. 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 170. mA is passed through an electroplating cell with an aqueous solution of Ag_2SO_4 in the cathode compartment for 33.0 seconds. Calculate the mass of pure silver deposited on a metal object made into the cathode of the cell. Round your answer to 3 significant digits, Also, be sure your answer contains a unit symbol.

Explanation / Answer

Q = i X t = 170 X 10-3 A * 33 s = 5.6 C

1 F faraday of charge is the magnitude of the charge of one mole of electrons, i.e. 96485 C

therefore 96485 C = 1 mol of electrons

therefore 5.6 C = 5.6/96485 = 5.8 X 10-5 mol of electrons

therefore moles of silver deposited = 5.8 X 10-5 moles.

therefore mass of silver deposited = moles X molar mass = 5.8 X 10-5 moles X 108 g/mol = 0.006 g.

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