Introduction
In real-life conditions, concentrations of ions are often not standard (1 mol/dm³), so the actual electrode potential differs from the standard value. The Nernst Equation allows us to calculate the electrode potential under non-standard conditions.
🔹 1. Nernst Equation (Simplified Form)
For a redox half-reaction:
The Nernst equation is:
Where:
-
E
= actual electrode potential -
E°
= standard electrode potential -
n
= number of electrons transferred -
log
= base 10 logarithm -
Concentrations are in mol/dm³
🔹 2. Full Cell Version of Nernst Equation
For a full cell:
🧪 Example 1: Effect of concentration on Zn/Cu cell
Given:
-
Cu²⁺ + 2e⁻ → Cu (E° = +0.34 V)
-
Zn²⁺ + 2e⁻ → Zn (E° = –0.76 V)
-
[Zn²⁺] = 1.0 M, [Cu²⁺] = 0.01 M
Step 1: Calculate E°cell
Step 2: Apply Nernst equation
✅ Answer: Ecell = 1.04 V
🔹 3. Observations from the Nernst Equation
-
Increasing [oxidized species] (e.g. Cu²⁺) increases cell potential
-
Increasing [reduced species] (e.g. Zn²⁺) decreases cell potential
-
When concentrations are equal, E = E°
🔹 4. Conditions that Affect Ecell
Factor | Effect on Ecell |
---|---|
[Ion] concentration | Shifts potential up or down |
Temperature | Affects reaction rate and equilibrium (not included in simplified Nernst) |
Electrode surface | Affects kinetics, not potential directly |
🧠 NECTA Tips
-
Always state n (number of electrons in half-equation)
-
Use 2 decimal places in final answers
-
Write units clearly (V or mV)
-
Use log values accurately (log 10 = 1, log 0.01 = –2)
✅ Summary
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The Nernst Equation corrects standard E° values for real concentrations
-
E decreases when oxidized species is diluted
-
E increases when reduced species is diluted
-
Useful in practical cell design, battery performance, and NECTA theory questions