☰ Contents · Chemistry (General chemistry)

Faraday’s laws of electrolysis

Lessons 32 · 1 lessons · S. Masharipov, A. Mutalibov, E. Murodov, H. Islomova. General chemistry, Grade 11, 1st edition. G‘afur G‘ulom Publishing and Printing House, Tashkent, 2018
32

The laws of electrolysis

Textbook: pp. 144–149
GoalState Faraday’s laws of electrolysis and use m = E·I·t/96500 to calculate the mass of substance released, the time and the current.
New words
Faraday’s laws · Faradey qonunlariquantity of electricity · elektr miqdoricurrent · tok kuchiFaraday constant · Faradey doimiysi
Explanation

Faraday’s first law: the mass of substance released at an electrode is directly proportional to the quantity of electricity that passed through the electrolyte (Q = I·t). The second law: when the same quantity of electricity passes, the masses of different substances released are proportional to their equivalent masses. Together they give m = E·I·t/F, where F is the Faraday constant, ≈ 96 485 C/mol (96 500 is used in problems), the charge of 1 mole of electrons. The number of equivalents of electricity is n(eq) = I·t/96500; the same number of equivalents of substance is released. For example, 1 equivalent is Ag 108 g, Cu 32 g, Al 9 g, H₂ 1 g (11.2 L under normal conditions), O₂ 8 g (5.6 L), Cl₂ 35.5 g (11.2 L). The time is t = m·96500/(E·I) and the current I = m·96500/(E·t). The unit of F is C/mol; the farad is the unit of capacitance, so do not confuse them. In practice part of the current goes to side reactions, so the real mass may be less than the theoretical one (current efficiency).

Worked examples
A current of 10 A flows for 9650 s through a CuSO₄ solution. n(eq) = 10·9650/96500 = 1; m(Cu) = 1·32 = 32 g.
To deposit 108 g of silver with a current of 2 A: t = m·96500/(E·I) = 108·96500/(108·2) = 48 250 s.
Class activity

Calculation contest: groups pass the same Q (for example 96 500 C) through AgNO₃ and CuSO₄ solutions and molten Al₂O₃, calculate the mass of metal deposited at each cathode from E and compare the results with the second law.

Practice
1
A current of 5 A flows for 19 300 s. How many equivalents of electricity is this?
2
How many grams of Ag are deposited at the cathode when 4 A flows for 24 125 s through AgNO₃ solution (E = 108)?
3
How many seconds are needed to deposit 27 g of Al (E = 9) from molten Al₂O₃ with a current of 6 A?
4
Why are the masses of Ag and Cu deposited by the same quantity of electricity different?