Determine how long it takes to chrome a part to cover it with a 20 µm thick layer of chrome at a current

Determine how long it takes to chrome a part to cover it with a 20 µm thick layer of chrome at a current density of 1000 A / m.

Task data: h (required chromium thickness) = 20 microns (20 * 10 ^ -6 m); j (current density) = 1000 A / m2.

Reference values: k (electrochemical equivalent of chromium) = 0.18 * 10 ^ -6 kg / C; by condition ρх (chromium density) = 7000 kg / m3.

The duration of chrome plating of a part can be expressed from the formulas: m = ρх * V = ρх * S * h and m = I * k * t = j * S * k * t, whence t = ρх * S * h / (j * S * k) = ρх * h / (j * k).

Let’s make a calculation: t = 7000 * 20 * 10 ^ -6 / (1000 * 0.18 * 10 ^ -6) = 778 s = 12 min 58 s.