Copper of thickness d is plated on the cathode of a copper voltameter. If the total surface area of the cathode is 60 cm(^2) and a steady current of 5.0 A is maintained in the voltameter for 1 hour. calculate the value of d. [density of copper = 8.9 x 10(^3)kg m(^{-3}) electro chemical equivalent of copper = 3.3 x 10(^{-7}) kg C(^{-1})
Explanation
Mass of Cu deposited = Area x thickness x density = electrochemical equivalent x current x time.
Thickness = (frac{text{electrochemical equivalent} times text{current} times text{time}}{Area times density})
= (frac{3.3 times 10^{-7} times 5 times 3600}{60 times 10^{-4} times 8.9 times 10^{3}})
= 1.1 x 10(^{-4}) m