How Ion Concentration Changes Cell EMF (Nernst Effect)

Chemistry · Electrochemistry · NEET

Cell EMF changes when you change ion concentration because of the Nernst equation: E = E° − (0.059/n) log Q. When you increase the reactant ions (like Cu²⁺ at the cathode), EMF goes UP. When you increase the product ions (like Zn²⁺ at the anode), EMF goes DOWN. Memory hook: "More cathode ions = more push. More anode ions = less push."
EMF depends on ion concentration: E = E° − (0.059/n) log([products]/[reactants])More CATHODE ion (reactant)e.g. increase [Cu²⁺]Q = [Zn²⁺]/[Cu²⁺] gets smallerEMF goes UP ▲More ANODE ion (product)e.g. increase [Zn²⁺]Q = [Zn²⁺]/[Cu²⁺] gets biggerEMF goes DOWN ▼When [Zn²⁺] = [Cu²⁺], Q = 1, log Q = 0, so E = E°
For a Zn–Cu cell, raising the cathode ion (Cu²⁺) lowers Q and pushes EMF up, while raising the anode ion (Zn²⁺) raises Q and pulls EMF down; equal concentrations give E = E°.

Your doubts, answered

Does EMF increase or decrease when I increase ion concentration? (It depends which side!)

It depends on WHICH ion. Look at Q = [products]/[reactants]. If you increase a REACTANT ion (like Cu²⁺ at the cathode of a Zn-Cu cell), Q gets smaller, log Q is more negative, so E = E° − (0.059/n)logQ goes UP. If you increase a PRODUCT ion (like Zn²⁺ at the anode), Q gets bigger, log Q is positive, so E goes DOWN. So there is no single 'always up' rule — you must see if the ion is a reactant or a product.

Why does EMF change with concentration at all? Isn't E° fixed?

E° (standard EMF) IS fixed — it is measured only when every ion is exactly 1 M. Real cells rarely have 1 M everywhere. The Nernst equation, E = E° − (0.059/n) log Q, is a correction term that adjusts E° for the actual concentrations. The E° part never moves; the log Q part slides the real EMF up or down as ions change. That is why the same cell can give different voltages.

In the Zn-Cu Daniell cell, what exactly goes inside log Q?

For Zn | Zn²⁺ || Cu²⁺ | Cu the cell reaction is Zn + Cu²⁺ → Zn²⁺ + Cu. Solids (Zn, Cu) are left out. So Q = [Zn²⁺]/[Cu²⁺] and n = 2. E = E° − (0.059/2) log([Zn²⁺]/[Cu²⁺]). Increasing Cu²⁺ makes the fraction smaller (EMF up); increasing Zn²⁺ makes it bigger (EMF down).

If [Zn²⁺] goes up and [Cu²⁺] goes down, does EMF rise or fall?

It FALLS. Both changes push Q = [Zn²⁺]/[Cu²⁺] higher. A bigger Q gives a positive log Q, and E = E° − (0.059/2)logQ subtracts more, so the EMF drops. This is exactly the NEET 2017 question: swapping 0.01 M and 1.0 M made E₂ smaller than E₁ (E₁ > E₂).

What happens to EMF when the two concentrations become equal?

When [Zn²⁺] = [Cu²⁺], the ratio Q = 1, and log 1 = 0. The whole correction term vanishes, so E = E°. This is the easiest checkpoint: equal ion concentrations means the cell reads its standard EMF. As reaction proceeds and Q keeps rising toward K, EMF keeps falling until it reaches 0 (dead battery, equilibrium).

For a hydrogen electrode, how does H⁺ concentration (pH) change the potential?

For Pt | H₂ | H⁺, higher [H⁺] (lower pH, more acidic) makes the electrode potential more positive; lower [H⁺] (higher pH) makes it more negative. Using the NEET key convention E = E° − (0.059/2) log([H⁺]²/P(H₂)), more H⁺ ions raise E. This is why the H₂ electrode potential is only zero at [H⁺] = 1 M and 1 atm.

⚠️ The NEET trap
Increasing any ion concentration always increases the cell EMF.
Increasing a REACTANT ion (cathode ion like Cu²⁺) raises EMF, but increasing a PRODUCT ion (anode ion like Zn²⁺) LOWERS EMF, because E = E° − (0.059/n) log([products]/[reactants]).
🧠 NEET 2017 swapped [ZnSO₄] and [CuSO₄] to 1.0 M / 0.01 M. Students who thought 'more ZnSO₄ = more EMF' picked E₁ < E₂ and lost the mark. Correct answer is E₁ > E₂ because raising the anode ion drops EMF.

Real NEET questions

NEET 2017

In the Daniell cell Zn | ZnSO₄(0.01 M) || CuSO₄(1.0 M) | Cu the emf is E₁. When [ZnSO₄] is changed to 1.0 M and [CuSO₄] to 0.01 M, the emf becomes E₂. Which relationship is correct? (Given RT/F = 0.059)

A · E₁ = E₂
B · E₁ < E₂
C · E₁ > E₂
D · E₂ = 0 ≠ E₁
Solution: Nernst equation for Zn + Cu²⁺ → Zn²⁺ + Cu (n = 2): E = E° − (0.059/2) log([Zn²⁺]/[Cu²⁺]). Case 1: ratio = 0.01/1.0 = 10⁻², log = −2, so the term ADDS and E₁ > E°. Case 2: ratio = 1.0/0.01 = 10², log = +2, so the term SUBTRACTS and E₂ < E°. Therefore E₁ > E° > E₂, giving E₁ > E₂. Answer: C.
NEET 2022

Find the emf of the cell reaction Ni(s) + 2Ag⁺(0.001 M) → Ni²⁺(0.001 M) + 2Ag(s). (Given E°cell = 1.05 V, 2.303RT/F = 0.059 at 298 K)

A · 1.0385 V
B · 1.385 V
C · 0.9615 V
D · 1.05 V
Solution: n = 2. Q = [Ni²⁺]/[Ag⁺]² = 0.001/(0.001)² = 10⁻³/10⁻⁶ = 10³. E = E° − (0.059/2) log Q = 1.05 − 0.0295 × log(10³) = 1.05 − 0.0295 × 3 = 1.05 − 0.0885 = 0.9615 V. Here the product ion effect (Ag⁺ being small, so Q large) lowers the EMF below E°. Answer: C.
NEET 2026

Calculate the emf of the half cell Pt(s) | H₂(g, 2 atm) | HCl(aq, 0.02 M). E°(H⁺/H₂) = 0 V. (Given 2.303RT/F = 0.059, log 2 = 0.3010)

A · −0.109 V
B · 0.035 V
C · −0.035 V
D · 0.109 V
Solution: Using the NEET key convention E = E° − (0.059/2) log([H⁺]²/P(H₂)) with [H⁺] = 0.02 M and P(H₂) = 2 atm: E = 0 − 0.0295 log((0.02)²/2) = −0.0295 log(4×10⁻⁴/2) = −0.0295 log(2×10⁻⁴) = −0.0295(0.301 − 4) = −0.0295 × (−3.699) = +0.109 V. Answer: D.

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Frequently asked

What is the simple rule for how concentration changes EMF?

More reactant ions (cathode side, like Cu²⁺) push EMF up. More product ions (anode side, like Zn²⁺) pull EMF down. This comes from E = E° − (0.059/n) log([products]/[reactants]).

When does a cell give exactly its standard EMF (E°)?

When all ion concentrations are 1 M, or when the reactant-to-product ratio makes Q = 1 (so log Q = 0). Then the correction term is zero and E = E°.

Why is 0.059 used in the Nernst equation for NEET?

At 298 K, the term 2.303RT/F equals about 0.059 V. Dividing by n (electrons transferred) gives the slope for each unit change in log Q. NEET almost always gives you this value in the question.

Does EMF ever become zero because of concentration?

Yes. As the reaction runs, product ions build up and reactant ions fall, so Q keeps rising. When Q reaches the equilibrium constant K, E becomes 0 — the cell is 'dead' and no current flows.

Is a concentration cell different from a normal cell?

A concentration cell has the SAME electrode and same ion on both sides but at different concentrations. Its E° = 0, so its entire EMF comes only from the concentration difference through the Nernst term. Current flows until both sides become equal.