Q.Value of standard electrode potential for the oxidation of Cl− ions is more positive than that of water, even then in the electrolysis of aqueous sodium chloride, why is Cl− oxidised at anode instead of water?
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Faraday's Laws of Electrolysis
Imagine you're trying to plate a copper spoon with silver. You drop the spoon into a solution containing silver ions, connect it to a battery, and wait. How much silver actually deposits? Does it depend on how long you wait? On how strong the battery is? On what metal you're using?
Faraday's laws answer exactly these questions. They connect the invisible world of electrons flowing through a wire to the visible world of atoms depositing on a surface.
The Intuition First
Think of electrolysis as a counting problem. Each silver ion (Ag+) needs exactly one electron to become a neutral silver atom (Ag). So if you push a certain number of electrons through the circuit, you should get exactly that many silver atoms deposited.
The first law says: more charge → more mass deposited. Double the charge, double the mass. It's a direct proportionality.
The second law says: different elements need different amounts of charge per atom. A copper ion (Cu2+) needs two electrons to become neutral copper, so for the same amount of charge, you get half as many copper atoms as silver atoms.
The Precise Statements
First Law: The mass of a substance liberated at an electrode is directly proportional to the quantity of electric charge passed through the electrolyte.
m∝Qorm=ZQ
where Z is the electrochemical equivalent of the substance.
Second Law: When the same quantity of charge is passed through different electrolytes, the masses of substances liberated are proportional to their chemical equivalents (equivalent weights).
E1m1=E2m2
Here E is the equivalent weight: atomic mass divided by the number of electrons transferred per ion (n). For silver (Ag+, n=1), E=107.87 g. For copper (Cu2+, n=2), E=63.55/2=31.77 g.
The Combined Law
These two laws merge into one powerful equation:
m=FQ×E
where F is Faraday's constant — the charge carried by one mole of electrons: F=96485 coulombs per mole.
Since Q=I×t (current × time), you can write:
m=FI×t×E
This is the working formula for every electrolysis calculation in your exams.
To avoid confusion: equivalent weight E is always atomic mass divided by n (the number of electrons gained or lost per ion). For Al3+, n=3; for O2 gas (from water), each oxygen atom loses 2 electrons, but the molecule has 2 atoms, so n=4 per O2 molecule.
A Worked Example
Problem: How much copper deposits when a current of 2.0 A flows through a copper sulfate solution for 30 minutes? (Atomic mass of Cu = 63.5 g/mol, n=2)
Step 1: Find the equivalent weight.
E=263.5=31.75 g/mol
Step 2: Find total charge.
Q=I×t=2.0×(30×60)=3600 C
Step 3: Apply the combined law.
m=FQ×E=964853600×31.75=1.185 g
So about 1.2 grams of copper deposits. …
Why this formula?
Faraday's Laws of Electrolysis: Why the Formulas Hold
Faraday's Laws of Electrolysis describe the quantitative relationship between the amount of electricity passed through an electrolyte and the mass of substance liberated at the electrodes. Let's build the reasoning step-by-step.
1. The Core Idea: Charge Carries Matter
Electrolysis works because ions (charged particles) move toward electrodes and undergo redox reactions.
- At the cathode (negative electrode), cations gain electrons (reduction).
- At the anode (positive electrode), anions lose electrons (oxidation).
The key insight: Each ion that reacts carries a fixed amount of charge.
- For a monovalent ion (e.g., Na+), charge = 1.602×10−19C (the elementary charge e).
- For a divalent ion (e.g., Cu2+), charge = 2e.
Thus, the total charge passed (Q) is directly proportional to the number of ions that have reacted (N):
Q=N⋅ze
where:
- z = valency (number of electrons transferred per ion)
- e = elementary charge (1.602×10−19C)
2. From Number of Ions to Mass
The number of ions N is related to the mass (m) of substance liberated via Avogadro's number (NA) and molar mass (M):
N=Mm⋅NA
Substitute into Q=Nze:
Q=(Mm⋅NA)⋅ze
3. Introducing Faraday's Constant
The product NAe appears repeatedly — it's called Faraday's constant (F):
F=NAe≈96485C mol−1
So:
Q=Mm⋅zF
Rearrange for mass:
m=zFQM
This is the unified formula for both of Faraday's laws.
4. Why Two "Laws"? — They Are the Same Idea
Faraday originally stated two laws, but they are logical consequences of the same charge–mass relationship:
First Law (Direct Proportionality)
Mass liberated is directly proportional to the charge passed.
From m=zFQM, if M, z, and F are constant, then:
m∝Q
Why? Because each ion needs a fixed charge to react — more charge means more ions, hence more mass.
Second Law (Electrochemical Equivalent)
For the same charge, masses liberated are proportional to equivalent weights.
Equivalent weight E=zM (mass per mole of electrons transferred).
From m=FQ⋅zM=FQ⋅E, if Q is fixed:
m∝E
Why? For the same charge, the number of electrons transferred is fixed. A substance with a smaller z (fewer electrons per ion) will liberate more moles of substance, hence more mass per mole.
5. Practical Formula for Exams …
The key idea is overpotential: the actual potential required to oxidise water is much higher than its thermodynamic value due to a kinetic barrier at the electrode surface.
Reasoning:
-
The standard electrode potential for Cl− oxidation is E∘=+1.36 V (for 2Cl−→Cl2+2e−), while for water oxidation it is E∘=+1.23 V (for 2H2O→O2+4H++4e−). Thermodynamically, water should oxidise first.
-
However, the oxidation of water at an inert electrode (like platinum or graphite) requires a large overpotential — often 0.4–0.6 V extra — because the reaction involves multiple steps and slow electron transfer. …
In the electrolysis of aqueous NaCl, Cl⁻ is oxidised at the anode instead of water because the overpotential for oxygen evolution is very high on inert electrodes like platinum or graphite. This makes the actual potential needed to oxidise water much larger than the thermodynamic value, so Cl⁻ oxidation becomes kinetically favoured.
The key here is that standard electrode potentials are thermodynamic values — they tell you which reaction is spontaneous under standard conditions, but they don't account for the kinetic barrier (overpotential) that many electrode reactions face.
Let’s look at the two possible oxidation reactions at the anode:
- Oxidation of Cl⁻ (to chlorine gas):
2Cl−→Cl2+2e−E∘=−1.36 V
- Oxidation of water (to oxygen gas):
2H2O→O2+4H++4e−E∘=−1.23 V
Thermodynamically, water oxidation has a less positive (more favourable) potential — it should happen first. But in practice, the opposite occurs. Here’s why.
Step-by-step reasoning
1. Standard potentials are equilibrium values
The E∘ values above are measured under ideal conditions (1 M concentration, 1 atm pressure, smooth platinum electrode). They tell you the voltage at which the reaction just begins to occur. But real electrolysis happens at higher voltages because of overpotential — the extra voltage needed to overcome the activation energy barrier.
2. Oxygen evolution has a large overpotential on common anodes
On inert electrodes like platinum or graphite, the reaction:
2H2O→O2+4H++4e−
requires a significant overpotential — often around 0.4–0.6 V. This means the actual potential needed to evolve oxygen is:
Eactual=−1.23 V−η≈−1.6 to −1.8 V
3. Chlorine evolution has a much smaller overpotential
The reaction:
2Cl−→Cl2+2e−
has a very low overpotential on platinum or graphite — often less than 0.1 V. So its actual potential is close to the thermodynamic value:
Eactual≈−1.36 V
4. Compare the actual potentials
Now the effective potentials are:
- Cl⁻ oxidation: ≈ –1.36 V
- Water oxidation: ≈ –1.6 to –1.8 V
The reaction requiring a less negative (i.e., less energy-demanding) potential will occur first. Cl⁻ oxidation now has the advantage. …
Concept: Electrode Kinetics vs Thermodynamics (Overpotential)
The key idea is that thermodynamic favourability (standard electrode potential) does not always determine which reaction occurs — kinetic factors like overpotential can reverse the order.
Method: Overpotential Analysis
Step 1: Write the two possible oxidation reactions at the anode
- Oxidation of chloride ions:
2Cl−→Cl2+2e−E∘=+1.36V
- Oxidation of water:
2H2O→O2+4H++4e−E∘=+1.23V
Thermodynamically, water oxidation has a less positive E∘, so it should occur first. But in practice, chlorine is produced.
Step 2: Introduce the concept of overpotential
- Overpotential (η) is the extra voltage required beyond the thermodynamic potential to drive a reaction at a noticeable rate.
- For oxygen evolution (water oxidation), the overpotential on common anode materials (like platinum or graphite) is very high — often >0.6V.
- For chlorine evolution, the overpotential is much smaller (typically <0.1V).
Step 3: Compare the actual required potentials
- Actual potential needed for Cl− oxidation:
Eactual(Cl2)=1.36+ηCl2≈1.36+0.1=1.46V
- Actual potential needed for water oxidation: …
🧠 The Core Concept
In the electrolysis of aqueous NaCl, two species can be oxidised at the anode:
- Cl⁻ ions (from NaCl)
- H₂O molecules (from the solvent)
The standard electrode potentials (at 25°C, 1 M, 1 atm) are:
- For oxidation of Cl⁻:
2Cl−→Cl2+2e−E∘=−1.36V
- For oxidation of water:
2H2O→O2+4H++4e−E∘=−1.23V
Key point: A more positive (or less negative) E∘ means the reduction is easier — but for oxidation, we flip the sign. So:
- Oxidation of water: Eox∘=−1.23V
- Oxidation of Cl⁻: Eox∘=−1.36V
Since −1.23>−1.36, water should be oxidised more easily — yet in practice, Cl⁻ is oxidised at the anode. Why?
✗ Common Mistake #1: Ignoring Overpotential
The error: Students compare only standard potentials and conclude water must oxidise.
Why it's wrong: Standard potentials assume reversible conditions. In real electrolysis, overpotential (extra voltage needed to overcome kinetic barriers) matters — especially for gas evolution.
- O₂ evolution from water has a high overpotential on common anode materials (like graphite or platinum).
- Cl₂ evolution has a much lower overpotential.
So the actual voltage required for water oxidation becomes more negative than for Cl⁻ oxidation under real conditions.
How to avoid: Always remember — in electrolysis, the actual ease of oxidation depends on:
Eactual=Eox∘+overpotential
The species with the less negative (or more positive) actual potential gets oxidised.
✗ Common Mistake #2: Confusing Reduction vs Oxidation Potentials
The error: Students see E∘(Cl2/Cl−)=+1.36V and E∘(O2/H2O)=+1.23V and think Cl⁻ is harder to oxidise because its reduction potential is higher.
Why it's wrong: These are reduction potentials. For oxidation, you must reverse the sign:
- Oxidation of Cl⁻: Eox∘=−1.36V
- Oxidation of water: Eox∘=−1.23V
Now compare: −1.23>−1.36, so water is thermodynamically easier to oxidise.
How to avoid: Always write the half-reaction in the direction it occurs (oxidation at anode) and use the corresponding potential. If given reduction potentials, flip the sign for oxidation.
✗ Common Mistake #3: Forgetting Concentration Effects
The error: Students assume standard conditions (1 M Cl⁻) — but in brine electrolysis, concentrated NaCl is used.
Why it matters: The Nernst equation shows that higher [Cl⁻] makes its oxidation easier (less negative potential): …
- COMEDK 2026Set 2026-A1 markMCQQ.The quantity of Ca that can be produced from molten CaCl2, with the same quantity of electricity (in coulombs) required to produce 4.8 g of Mg from molten MgCl2 is: [Atomic mass of Mg=24u; Atomic mass of Ca=40u ] (A) 5.2 g (B) 6.0 g (C) 8.0 g (D) 4.8 g
›Reveal solutionSolution
The key idea is that equal quantities of electricity produce equal moles of electrons, so the mass of metal produced is proportional to its equivalent weight. Since both Mg and Ca are divalent, the mass of Ca produced is (40/24) × 4.8 g = 8.0 g.
Concept and Intuition
This problem is about Faraday’s laws of electrolysis. The same amount of charge (coulombs) will liberate the same number of moles of electrons. For a metal ion Mn+, the number of moles of metal produced is (moles of electrons) / n. So the mass of metal = (charge / (nF)) × atomic mass. Since the charge is the same for both, the mass ratio of two metals is simply (atomic mass₁ / n₁) : (atomic mass₂ / n₂). Here both Mg and Ca form +2 ions, so n is the same (2), and the mass ratio equals the atomic mass ratio.
Step-by-step reasoning
- Identify the relevant half-reactions In molten MgCl2, magnesium ions are reduced:
Mg2++2e−→Mg
In molten CaCl2, calcium ions are reduced:
Ca2++2e−→Ca
Both require 2 moles of electrons per mole of metal.
- Find moles of Mg produced Given mass of Mg = 4.8 g, atomic mass = 24 g/mol.
Moles of Mg=244.8=0.20 mol
- Find moles of electrons used Each mole of Mg requires 2 moles of electrons.
Moles of electrons=0.20×2=0.40 mol
- Same charge means same moles of electrons for Ca The same quantity of electricity provides 0.40 mol of electrons. Each mole of Ca also requires 2 moles of electrons.
- COMEDK 2026Set 2026-M1 markMCQQ.3.482×10−1 g of Fe gets deposited when an aqueous solution of Ferric sulphate is electrolysed for 20 minutes using a current of " x " amperes. Find " x ". (Atomic mass of Fe=56amu ). (A) 2.4 A (B) 2.8 A (C) 0.98 A (D) 1.5 A
›Reveal solutionSolution
This is a Faraday’s law problem where iron is deposited from Fe³⁺ ions. The key is that each Fe³⁺ requires 3 moles of electrons to become Fe(s). Using the mass deposited, time, and atomic mass, we solve for current. The answer is 1.5 A.
Concept & Intuition
Electrolysis is about forcing a non-spontaneous redox reaction with electricity. The amount of substance deposited at an electrode is directly proportional to the charge passed. Faraday’s law says:
m=n⋅FQ⋅M
where m = mass deposited, Q = total charge (current × time), M = molar mass, n = number of electrons per ion, and F = Faraday constant (96485 C/mol).
Here, ferric sulphate gives Fe³⁺ ions. Each Fe³⁺ gains 3 electrons to become Fe metal:
Fe3++3e−→Fe(s)
So n=3. The pitfall? Many students mistakenly use n=2 (thinking of Fe²⁺) or forget to convert time to seconds.
Step-by-step solution
- Identify the half-reaction and n Ferric ion is Fe³⁺. Reduction to metal:
Fe3++3e−→Fe
Hence, n=3 moles of electrons per mole of Fe.
- Write Faraday’s law
m=n⋅FI⋅t⋅M
where I = current (A), t = time (s), M = atomic mass (g/mol), F=96485C/mol.
-
Convert given data to consistent units
- Mass: m=3.482×10−1g=0.3482g
- Time: t=20min=20×60=1200s
- Atomic mass: M=56g/mol
- n=3
- F=96485C/mol
-
Solve for current I
Rearranging:
I=t⋅Mm⋅n⋅F
Substitute values:
- COMEDK 2025Set 2025-A1 markMCQQ.A current of 1.5 A is passed for 2 hours through an aqueous solution of PdXnn where X is a monovalent anion. During the electrolysis process 2.977 g of Palladium metal gets deposited at the cathode. Calculate the charge on Pd ions. (Atomic mass of Pd=106.4 g/mol ). (A) n=4 (B) n=6 (C) n=3 (D) n=2
›Reveal solutionSolution
The charge on the Pd ion is found by equating the total charge passed (from current and time) to the charge required to deposit the given mass of Pd, using Faraday’s laws. The result shows the ion carries a +4 charge, so the correct option is (A).
Concept & Intuition
Electrolysis is governed by Faraday’s laws: the mass of a substance deposited at an electrode is proportional to the total charge passed. For a metal ion Pdn+, the reduction reaction is
Pdn++ne−→Pd
So each mole of Pd deposited consumes n moles of electrons. By calculating the total charge passed and the moles of Pd deposited, we can solve for n, the charge number (oxidation state) of the palladium ion.
-
Calculate total charge passed
Current I=1.5A, time t=2hours=2×3600=7200s.
Charge Q=I×t=1.5×7200=10800C.
-
Calculate moles of Pd deposited
Mass deposited m=2.977g, atomic mass M=106.4g/mol.
Moles of Pd:
moles=106.42.977≈0.02798mol
- Relate charge to moles of electrons Faraday’s constant F=96485C/mol e−. Total moles of electrons used:
-
- COMEDK 2025Set 2025-M1 markMCQQ.A current of 2.5 amperes is passed through 800 ml of 0.48 M solution of CuSO4 for 1.0 hour with a current efficiency of 80%. If the volume of the solution remains unchanged, what is the final molarity of the solution? (A) 0.386 (B) 0.315 (C) 0.433 (D) 0.298
›Reveal solutionSolution
Effective charge =7200 C deposits 0.0373 mol Cu2+; remaining Cu2+ in the unchanged 0.8 L gives molarity ≈0.433 M — option (C).
Effective charge passed (80% current efficiency)
Q=Itη=2.5 A×3600 s×0.80=7200 C.
Moles of Cu2+ deposited — Cu2++2e−→Cu:
ne−=965007200=0.0746 mol,nCu=20.0746=0.0373 mol.
Remaining Cu2+ …
- COMEDK 2024Set 2024-A1 markMCQQ.When 0.1 mole of MnO42− is oxidised, the quantity of electricity required to completely oxidise MnO42− to MnO4− is (A) 96500 C (B) 48250 C (C) 9650 C (D) 2 × 96500 C
›Reveal solutionSolution
MnO42−→MnO4− is a one-electron oxidation (Mn goes +6 → +7), so 0.1 mol requires 0.1×F=0.1×96500=9650 C.
Manganese changes oxidation state from +6 in MnO42− to +7 in MnO4−, i.e. loss of 1 electron per ion: …
- COMEDK 2024Set 2024-E1 markMCQQ.What is the quantity of charge, in Faraday units, required for the reduction of 3.5 moles of Cr2O72− in acid medium? (A) 6.0 (B) 10.5 (C) 21.0 (D) 3.0
›Reveal solutionSolution
The key is to find the total change in oxidation number per mole of dichromate, then multiply by moles and convert to Faradays. For 3.5 moles of Cr2O72− reduced to Cr3+ in acid, the charge required is 21.0 Faradays, so the correct option is (C).
Concept & Intuition
In electrochemistry, one Faraday (F) is the charge carried by one mole of electrons — about 96,485 coulombs. When we talk about "reduction" of an ion, we mean it gains electrons. The number of Faradays needed equals the total moles of electrons transferred. So the problem reduces to: How many electrons does one dichromate ion take up when it is reduced in acid? That number comes from the change in oxidation state of chromium.
Step-by-step solution
-
Determine the oxidation state of Cr in dichromate
In Cr2O72−, oxygen is always -2 (except in peroxides). Let the oxidation state of Cr be x.
For the ion: 2x+7(−2)=−2
⇒2x−14=−2⇒2x=+12⇒x=+6.
So each Cr is in the +6 state.
-
Identify the reduction product in acid medium
In acidic solution, dichromate is reduced to chromium(III) ions, Cr3+.
So each Cr goes from +6 to +3, a gain of 3 electrons per Cr atom.
-
Electrons per dichromate ion
Since one Cr2O72− contains two Cr atoms, the total electrons gained per ion is 2×3=6 electrons.
-
Total electrons for 3.5 moles
For 3.5 moles of dichromate:
moles of electrons=3.5×6=21.0 moles of electrons. …
-
- COMEDK 2024Set 2024-E1 markMCQQ.A current of 3.0A is passed through 750 ml of 0.45 M solution of CuSO4 for 2 hours with a current efficiency of 90%. If the volume of the solution is assumed to remain constant, what would be the final molarity of CuSO4 solution? (A) 0.296 (B) 0.4 (C) 0.237 (D) 0.316
›Reveal solutionSolution
Effective charge 19440 C deposits 0.1007 mol Cu; remaining Cu2+=0.3375−0.1007=0.2368 mol in 0.75 L → 0.316 M.
Effective charge passed (90% efficiency):
Q=Itη=3.0×(2×3600)×0.90=19440 C
Moles of electrons:
ne=9650019440=0.2015 mol
Copper deposited (Cu2++2e−→Cu):
nCu=20.2015=0.1007 mol …
- COMEDK 2024Set 2024-M1 markMCQQ.Propane in presence of O2 gas undergoes complete combustion to produce CO2 and H2O. The required O2 for this combustion reaction was produced by the electrolysis of water. For what duration of time had water been electrolysed by passing 200 A current so that Oxygen gas produced could completely burn 44 g of Propane? (A) 2.68 hours (B) 1.98 hours (C) 3.86 hours (D) 1.34 hours
›Reveal solutionSolution
Burning 44 g (1 mol) of propane needs 5 mol of O2; producing that much O2 by electrolysis takes 20 mol of electrons, i.e. t=20020×96500=9650 s=2.68 hours — option (A).
Step 1 — Combustion stoichiometry
C3H8+5O2→3CO2+4H2O
Moles of propane =4444=1 mol, so O2 required =5 mol.
Step 2 — Electrons needed to make 5 mol O2
At the anode during water electrolysis:
2H2O→O2+4H++4e− …
- COMEDK 2023Set 2023-E1 markMCQQ.If electrolysis of water is carried out for a time duration of 2 hours, how much electric current in amperes would be required to liberate 100 ml of O2 gas measured under standard conditions of temperature and pressure? (A) 0.1723 A (B) 4.178 A (C) 0.8616 A (D) 0.2393 A
›Reveal solutionSolution
Current (t = 2 h = 7200 s): I = Q/t = 1723 / 7200 = 0.2393 A
Concept: Faraday's laws. At the anode in the electrolysis of water:
2 H2O -> O2 + 4 H+ + 4 e-
So 4 mol of electrons (4 F) liberate 1 mol O2.
Moles of O2 at STP:
n(O2) = 0.100 L / 22.4 L/mol = 4.464 x 10^-3 mol
Charge required:
n(e-) = 4 x 4.464 x 10^-3 = 1.786 x 10^-2 mol …
- COMEDK 2023Set 2023-M1 markMCQQ.Assuming no change in volume, the time required to obtain solution of pH=4 by electrolysis of 100 mL of 0.1 M NaOH (using current 0.5 A ) will be (A) 1.93 s (B) 2.63 s (C) 1.80 s (D) 4.26 s
›Reveal solutionSolution
Reaching pH=4 requires generating H+ (10−4M in 0.1L=10−5mol). Since each H+ needs one electron (Q=nF), t=nF/I=(10−5×96500)/0.5≈1.93, matching option (A).
At the anode, electrolysis of the aqueous solution generates H+:
2H2O→O2+4H++4e−,so moles of H+=moles of e−.
Target: pH=4⇒[H+]=10−4M in 100mL=0.1L:
nH+=10−4×0.1=10−5mol.
Charge required (Faraday's law): …
- KCET 2022Set B-31 markMCQQ.In Fuel cells ______ are used as catalysts. (A) Zinc - Mercury (B) Lead - Manganese (C) Platinum - Palladium (D) Nickel - Cadmium
›Reveal solutionSolution
The NCERT hydrogen–oxygen fuel cell uses finely divided platinum or palladium metal, incorporated into the porous carbon electrodes, as the catalyst.
Step 1 — What a fuel cell is.
A fuel cell is a galvanic cell that converts the energy of combustion of a fuel (here H2) directly into electrical energy, instead of burning it to run a turbine. The classic example is the H2–O2 fuel cell used in the Apollo space programme.
Step 2 — The construction.
H2 and O2 are bubbled through porous carbon electrodes into a concentrated aqueous NaOH (or KOH) electrolyte. To make the electrode reactions fast enough at ordinary temperature, catalysts such as finely divided platinum or palladium metal are incorporated into the electrodes.
Step 3 — The electrode reactions being catalysed.
Anode (oxidation of the fuel):
2H2(g)+4OH−(aq)⟶4H2O(l)+4e−
Cathode (reduction of oxygen):
O2(g)+2H2O(l)+4e−⟶4OH−(aq)
Overall:
2H2(g)+O2(g)⟶2H2O(l) …
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