Metal plating is done by passing current through a metal solution. For example,

Question

Metal plating is done by passing current through a metal solution. For example, an item can become gold plated by attaching the item to a power source serves as the and submerging into a Au^3+ solution. The item itself a cathode, at which the Au^3+ ions are reduced to Au(s). A piece of solid gold is used as the anode and is also connected to the power source, thus completing the circuit. What mass of gold is produced when 21.7 A of current are passed through a gold solution for 42.0 min? Express your answer with the appropriate units.

Explanation / Answer

Au3+ + 3e- ------> Au

1 mol of Au requires 3 mol of electron

1 mol of electron = 96485 C

So,1 mol of Au requires 289455 C

let us calculate to charge passed:

time, t = 2520s

Q = I*t

= 21.70A * 2520s

= 54684.00 C

mol of Au plated = 54684.00/289455 = 0.19

Molar mass of Au = 197.00 g/mol

mass of Au = number of mol * molar mass

= 0.19 * 197.00

= 37.22g

Answer = 37.2 g

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