Faraday's Laws of Electrolysis and the Faraday Constant

Chemistry · Electrochemistry · NEET

Faraday's laws say the amount of a substance made at an electrode depends only on the electric charge passed through the cell. Charge Q = current × time (Q = It), and 1 mole of electrons carries 96500 coulombs of charge, which is called 1 Faraday. Memory hook: "More charge in, more metal out" — and 96500 C always means exactly 1 mole of electrons.
Faraday's Laws: Charge to MassCurrent I (A)× Time t (s)Charge Q = It(coulombs)w = M·Q / (n·F)mass deposited (g)1 Faraday (F) = 96500 C = charge of 1 mole of electronsn = electrons per ion (Na⁺: n=1, Cu²⁺: n=2, Al³⁺: n=3)
Charge passed (Q = It) decides how much substance forms at an electrode. Divide by n·F to get mass, where 1 Faraday = 96500 C = one mole of electrons.

Your doubts, answered

What is Faraday's first law of electrolysis in simple words?

Faraday's first law says the mass of a substance deposited or released at an electrode is directly proportional to the amount of electric charge passed through the solution. More charge means more mass. In symbols, w ∝ Q, and since Q = It (current × time), you get w = ZIt, where Z is the electrochemical equivalent. In practice for NEET you use the ready form w = (M × Q)/(n × F), where M is molar mass, n is the number of electrons in the electrode reaction, and F = 96500 C.

What is 1 Faraday equal to in coulombs?

1 Faraday (1 F) is the charge carried by 1 mole of electrons. Its value is 96485 C, which NEET rounds to 96500 C per mole. You get it by multiplying the charge of one electron (1.6 × 10⁻¹⁹ C) by Avogadro's number (6.022 × 10²³). So 1 F = 96500 C = charge of one mole of electrons. Remember: Faraday is a charge, not a current.

How many Faradays are needed to deposit 1 mole of a metal?

It depends on the charge (n) on the metal ion, not the metal itself. For M^n+ + n e⁻ → M, you need n Faradays for 1 mole. So Na⁺ needs 1 F, Cu²⁺ needs 2 F, Al³⁺ needs 3 F for one mole. Quick rule: Faradays = moles of metal × charge on the ion. For 20 g Ca (Ca²⁺), that is 0.5 mol × 2 = 1 F. This exact idea was asked in NEET 2020.

How do I find the mass deposited during electrolysis for NEET?

Use three steps. Step 1: find charge Q = I × t (current in amperes, time in seconds). Step 2: write the electrode reaction and read off n (electrons per ion). Step 3: plug into w = (M × Q)/(n × F). For example, Cu²⁺ + 2e⁻ → Cu with M = 63, n = 2, F = 96500. This single formula answers almost every NEET electrolysis numerical.

What is the difference between Faraday's first and second law?

The first law links mass to charge for ONE substance: w ∝ Q. The second law compares DIFFERENT substances when the SAME charge is passed through cells in series — the masses deposited are in the ratio of their equivalent weights (E = M/n). Simple test: if the question is about one cell and asks for mass or time, use the first law. If the same current passes through two cells (like CuSO₄ and AgNO₃) and asks to compare masses, use the second law.

What does n mean in the formula w = MQ/nF?

n is the number of electrons transferred per ion in the electrode reaction — also called the valency or the number of Faradays needed per mole. For Ag⁺ + e⁻ → Ag, n = 1. For Cu²⁺ + 2e⁻ → Cu, n = 2. For Al³⁺ + 3e⁻ → Al, n = 3. Students often forget n and get answers off by a factor of 2 or 3, which is a common NTA trap. Always balance the electrode reaction first to read n correctly.

⚠️ The NEET trap
To deposit 1 mole of any metal you always need 1 Faraday (96500 C).
You need n Faradays for 1 mole, where n is the charge on the metal ion. Ca²⁺ needs 2 F per mole, so 20 g Ca (0.5 mol) needs 0.5 × 2 = 1 F. Do not confuse moles of metal with moles of electrons.
🧠 Count the electrons, not the atoms. Faradays = moles of metal × ionic charge (n).

Real NEET questions

NEET 2020

The number of Faradays (F) required to produce 20 g of calcium from molten CaCl₂ (Atomic mass of Ca = 40 g mol⁻¹) is:

A · 3
B · 4
C · 1
D · 2
Solution: At the cathode calcium is deposited: Ca²⁺ + 2e⁻ → Ca, so 1 mol (40 g) of Ca needs 2 F. Moles of Ca = 20/40 = 0.5 mol. Faradays required = 0.5 × 2 = 1 F. The trap is answering 2 F by forgetting to first convert 20 g into 0.5 mol.
NEET 2024

Mass in grams of copper deposited by passing 9.6487 A current through a voltmeter containing copper sulphate solution for 100 seconds is: (Molar mass of Cu = 63 g mol⁻¹, 1 F = 96487 C)

A · 0.315 g
B · 31.5 g
C · 0.0315 g
D · 3.15 g
Solution: Electrode reaction: Cu²⁺ + 2e⁻ → Cu, so n = 2. Charge Q = I × t = 9.6487 × 100 = 964.87 C. Using w = (M × Q)/(n × F): w = (63 × 964.87)/(2 × 96487) = (964.87/96487) × (63/2) = 0.01 × 31.5 = 0.315 g.
NEET 2016 Phase 2

During the electrolysis of molten sodium chloride, the time required to produce 0.10 mol of chlorine gas using a current of 3 amperes is:

A · 55 minutes
B · 110 minutes
C · 220 minutes
D · 330 minutes
Solution: At the anode: 2Cl⁻ → Cl₂ + 2e⁻, so 1 mol Cl₂ needs 2 F. For 0.10 mol Cl₂, charge Q = 0.10 × 2 × 96500 = 19300 C. From Q = It, t = Q/I = 19300/3 ≈ 6433 s ≈ 110 minutes.

Solved Electrochemistry NEET PYQs

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Frequently asked

Why is the Faraday constant equal to 96500 C?

Because it is the charge of 1 mole of electrons. Multiply the charge of one electron (1.6 × 10⁻¹⁹ C) by Avogadro's number (6.022 × 10²³) and you get about 96485 C, rounded to 96500 C for NEET calculations.

Is the Faraday constant a current or a charge?

It is a charge, measured in coulombs (C), not a current (amperes). Current tells you charge per second, while 1 Faraday is a fixed total charge equal to 96500 C for every mole of electrons.

Which law do I use when the same current passes through two cells in series?

Use Faraday's second law. The same charge deposits masses in the ratio of their equivalent weights (E = M/n). This is why the same current deposits different masses of copper and silver in series cells.

Do gases follow Faraday's laws too?

Yes. Faraday's laws apply to any product at an electrode, including gases like H₂, O₂ and Cl₂. You count the electrons in the electrode reaction, for example 2Cl⁻ → Cl₂ + 2e⁻ needs 2 F per mole of Cl₂.

What is the most common mistake in NEET Faraday numericals?

Forgetting the value of n (electrons per ion) or not converting grams to moles first. Always balance the electrode reaction to find n, and change mass to moles before counting Faradays.