Purification of nickel can be achieved by electrorefining nickel from an impure nickel anode onto a pure nickel cathode in an electrolytic cell. How many hours will it take to plate 15.0 kg 15.0 kg of nickel onto the cathode if the current passed through the cell is held constant at 30.0 A 30.0 A ? Assume the nickel in the electrolytic solution is present as N

It will take  456.6 hrs

Explanation:

Mass of Nickel , m= 15 kg = 15000 g

Molar mass of Nickel , M= 58.7 g/mol

time t = ?

current c = 30.0 A

valency of Ni in , z = +2

From Faraday's 1st law,

m = Mct / zF where F = Faraday constant = 96500 c/mol

t = mzF/ Mc

substitute all the values,

t = (15000 g) (2 ) (96500 c/mol)/ (58.7 g/mol) (30 A)

  = 1643952 s

  = 456.6 hrs