Answer: The amount of time needed to plate 14.0 kg of copper onto the cathode is 295 hours
Explanation:
We are given:
Moles of electron = 1 mole
According to mole concept:
1 mole of an atom contains
number of particles.
We know that:
Charge on 1 electron = 
Charge on 1 mole of electrons = 

is passed to deposit = 1 mole of copper
63.5 g of copper is deposited by = 193000 C
of copper is deposited by =
To calculate the time required, we use the equation:

where,
I = current passed = 40.0 A
q = total charge = 42551181 C
t = time required = ?
Putting values in above equation, we get:

Converting this into hours, we use the conversion factor:
1 hr = 3600 seconds
So, 
Hence, the amount of time needed to plate 14.0 kg of copper onto the cathode is 295 hours