Cell EMF
E°_cell = E°_cathode - E°_anode (both as reduction potentials). E_cell > 0 → spontaneous. Cell notation: anode | anion soln || cation soln | cathode.
-- NCERT Class 12 Chemistry, Ch. 2, p. 8The EMF of a galvanic cell is the potential difference between its two electrodes when no current flows. The single formula that governs this topic:
E°_cell = E°_cathode − E°_anode
Both E° values are standard reduction potentials (NCERT Class 12 Chemistry Chapter 2, page 8). This is the load-bearing detail: you subtract the anode's reduction potential from the cathode's reduction potential. You do NOT flip the sign of either value before subtraction — both stay as reduction potentials.
The trap that costs marks: confusing which electrode is cathode and which is anode. In a galvanic cell, the electrode with the higher reduction potential is the cathode (reduction occurs there), and the lower one is the anode (oxidation occurs there). If E°_cell comes out negative, the reaction is non-spontaneous as written — either you assigned cathode/anode backwards, or the cell genuinely doesn't work in that direction.
How NEET tests this: a question gives you two standard reduction potentials and asks for the cell EMF, or gives the cell notation and asks you to identify cathode/anode and compute E°_cell. The common wrong answer comes from subtracting in the wrong order (cathode − anode vs. anode − cathode) or from accidentally using an oxidation potential without flipping sign.
Watch-out: cell notation convention places the anode on the left and cathode on the right: Anode || Cathode. When you read Zn | Zn²⁺ || Cu²⁺ | Cu, zinc is the anode (left) and copper is the cathode (right). E°_cell = E°_Cu − E°_Zn. If a question gives oxidation potentials, convert them to reduction potentials (flip sign) before applying the formula.
A positive E°_cell confirms the cell reaction is spontaneous under standard conditions.
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
In the standard cell notation Zn(s) | Zn²⁺(aq) || Cu²⁺(aq) | Cu(s), which electrode is the cathode?
The EMF of a galvanic cell under standard conditions is defined as:
In a spontaneous galvanic cell, the standard cell EMF (E°_cell) is:
Given E°(Cu²⁺/Cu) = +0.34 V and E°(Zn²⁺/Zn) = −0.76 V, the standard EMF of the Daniell cell (Zn–Cu cell) is:
E°(Ag⁺/Ag) = +0.80 V and E°(Mg²⁺/Mg) = −2.37 V. What is E°_cell for the galvanic cell Mg | Mg²⁺ || Ag⁺ | Ag?
A galvanic cell has E°_cell = +0.46 V. If the standard reduction potential of the cathode is +0.34 V, the standard reduction potential of the anode is:
In a galvanic cell, the electrode with the more negative standard reduction potential acts as the:
A student computes E°_cell for a proposed galvanic cell and obtains −0.15 V. What does this result indicate?
Given
A galvanic cell is set up with the following half-cells: - Fe³⁺/Fe²⁺ electrode: E°(Fe³⁺/Fe²⁺) = +0.77 V - Sn⁴⁺/Sn²⁺ electrode: E°(Sn⁴⁺/Sn²⁺) = +0.15 V Both are standard reduction potentials at 298 K.
Required
Calculate the standard EMF of the galvanic cell and write the cell notation.
Concept
In a galvanic cell, the electrode with the higher standard reduction potential is the cathode (reduction site), and the lower one is the anode (oxidation site). E°_cell = E°_cathode − E°_anode.
Formula
E°_cell = E°_cathode − E°_anode
Substitution
Fe³⁺/Fe²⁺ has the higher reduction potential (+0.77 V) → cathode. Sn⁴⁺/Sn²⁺ has the lower reduction potential (+0.15 V) → anode. E°_cell = (+0.77) − (+0.15)
Calculation
E°_cell = 0.77 − 0.15 = 0.62 V Note: All given values are reduction potentials with two significant figures. No exact-constant adjustment is needed here — both values participate as measured quantities.
Final answer
E°_cell = +0.62 V Cell notation (anode left, cathode right): Sn²⁺ | Sn⁴⁺ || Fe³⁺ | Fe²⁺ (with Pt electrodes implied for both solution-phase couples) The positive value confirms the reaction is spontaneous under standard conditions.
Common trap
A frequent error is subtracting in the wrong order: E°_anode − E°_cathode = 0.15 − 0.77 = −0.62 V. The negative sign would wrongly suggest the cell is non-spontaneous. Always subtract anode FROM cathode.
Similar NEET-style question
Given E°(Cr³⁺/Cr) = −0.74 V and E°(Ni²⁺/Ni) = −0.25 V, calculate E°_cell for the galvanic cell and identify the anode and cathode. (Answer: Cr is the anode, Ni is the cathode. E°_cell = (−0.25) − (−0.74) = +0.49 V.) ---
E°_cell = E°_cathode - E°_anode (both as reduction potentials). E_cell > 0 → spontaneous. Cell notation: anode | anion soln || cation soln | cathode.
-- NCERT Class 12 Chemistry, Ch. 2, p. 8Both as reduction potentials. E°_cell > 0 → spontaneous.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E°_cell | standard cell EMF | V |
| E°_red | reduction potential | V |
Mass deposited at electrode. M = molar mass; I = current; t = time; n = electrons per ion.
| Symbol | Quantity | SI Unit |
|---|---|---|
| m | mass deposited | g |
| M | molar mass | g/mol |
| I | current | A |
| t | time | s |
| n | electrons per ion | - |
| F | Faraday | C/mol |
Connection between thermodynamics and electrochemistry. F = 96485 C/mol.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔG | Gibbs energy change | J |
| n | electrons transferred | - |
| F | Faraday 96485 | C/mol |
| E | cell EMF | V |
Molar conductivity from specific conductance. Increases with dilution as more ions are free.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Λ_m | molar conductivity | S cm^2/mol |
| κ | specific conductance | S/cm |
| C | molarity | mol/L |
Cell potential at non-standard conditions. n = electrons transferred. At equilibrium E=0, Q=K.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E | cell potential | V |
| E° | standard | V |
| n | electrons | - |
| Q | reaction quotient | - |
These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.
Category: Negative Marking
Multi-step Nernst problem: identify electrons, write Q correctly, plug into 0.0591/n. Each sub-step has factor errors.
Cell EMF problem at non-standard conditions.
Step-by-step: (1) write balanced redox; (2) count n electrons; (3) compute Q from concentrations; (4) plug into Nernst. Verify by checking limits: at standard conditions Q=1, log Q=0, E=E°.
Category: Inorganic Exception
Student assumes Mn²⁺ is the product regardless of medium. Acidic: → Mn²⁺ (5e⁻). Neutral/weakly basic: → MnO₂ (3e⁻). Strongly basic: → MnO₄²⁻ (1e⁻).
Question gives KMnO4 oxidation in unspecified or specific medium.
Always check medium. In acidic: Mn(+7) → Mn(+2). In neutral: → Mn(+4) (MnO₂). In basic: → Mn(+6) (manganate). The number of electrons (n) in Nernst calculations depends accordingly.
Root cause: concept gap
n = number of electrons per ion to deposit. Cu²⁺ + 2e⁻ → Cu: n=2. Al³⁺ + 3e⁻: n=3. m = MIt/(nF).
Root cause: formula misuse
n = electrons transferred per balanced redox equation. For Cu²⁺ + 2e⁻ → Cu: n=2. For Mn(VII) → Mn(II): n=5.
17 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.
The number of bonds, bonds and lone pair of electrons in pyridine, respectively are:
Which of the following statement is not correct about diborane?
Which one of the following polymers is prepared by addition polymerisation?
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
inverts c multiplier
Uses Λ = κC instead of κ/C
forgets 1000 factor
Drops 1000 in unit conversion
wrong n electrons
Uses incorrect electron count from half-reactions
Test yourself on this topic with real past-paper questions:
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