Question

To relate current, time, charge, and mass for electroplating calculations.

Electroplating is a form of electrolysis in which a metal is deposited on the surface of another metal. To quantify electrolysis, use the following relationships.

Electric current is measured in amperes (A), which expresses the amount of charge, in coulombs (C), that flows per second (s):

1 A=1 C/s

Another unit of charge is the faraday (F), which is equal to a mole of electrons and is related to charge in coulombs as follows:

1 F=1 mol e−=96,500 C

Galvanized nails are iron nails that have been plated with zinc to prevent rusting. The relevant reaction is

Zn2+(aq)+2e−→Zn(s)

For a large batch of nails, a manufacturer needs to plate a total zinc mass of 2.90 kg on the surface to get adequate coverage.

There are 44.3 moles of zinc in 2.90 kg of zinc.

How many coulombs of charge are needed to produce 44.3 mol of solid zinc?

Express your answer to three significant figures and include the appropriate units.