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Cell EMF Calculator

Cell EMF Calculator

Calculate the electromotive force (EMF) of electrochemical cells using standard electrode potentials

Calculate Cell EMF

V

Standard reduction potential of the anode (negative electrode)

V

Standard reduction potential of the cathode (positive electrode)

Cell EMF Results

0.000 V
Electromotive Force (EMF)
At Equilibrium
Reaction Spontaneity
Equilibrium System
Cell Type

Formula: EMF = E°(cathode) - E°(anode)

Calculation: 0.000 V - (0.000 V) = 0.000 V

Analysis: The system is at equilibrium with no net reaction

Energy Flow: No net reaction

Example Electrochemical Cells

Daniell Cell

Classic zinc-copper galvanic cell

Zn(s) + Cu²⁺(aq) → Zn²⁺(aq) + Cu(s)

Anode: -0.760 V, Cathode: 0.340 V → EMF: 1.100 V

Galvanic Cell

High voltage magnesium-silver cell

Mg(s) + 2Ag⁺(aq) → Mg²⁺(aq) + 2Ag(s)

Anode: -2.360 V, Cathode: 0.800 V → EMF: 3.160 V

Lead-Acid Battery

Common automotive battery system

Pb(s) + PbO₂(s) + 2H₂SO₄(aq) → 2PbSO₄(s) + 2H₂O(l)

Anode: -0.140 V, Cathode: -0.140 V → EMF: 0.000 V
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Standard Electrode Potentials

Li-3.04 V
Ca-2.86 V
Mg-2.36 V
Al-1.69 V
Mn-1.18 V
Zn-0.76 V
Cr-0.74 V
Fe-0.44 V
Cd-0.40 V
Co-0.28 V
Ni-0.26 V
Sn-0.14 V
Pb-0.14 V
Fe3-0.04 V
H0.00 V
Bi+0.32 V
Cu+0.34 V
Ag+0.80 V
Hg+0.85 V
Au+1.52 V

Standard conditions: 25°C, 1 M concentration, 1 bar pressure

EMF Interpretation

EMF > 0 (Positive)

Spontaneous reaction

Galvanic/Voltaic cell

Generates electrical energy

EMF < 0 (Negative)

Non-spontaneous reaction

Electrolytic cell

Requires electrical energy input

EMF = 0

System at equilibrium

No net reaction

No current flow

Cell Components

Anode (-)
Oxidation occurs here
Electrons are released
Cathode (+)
Reduction occurs here
Electrons are consumed
Electrolyte
Ion transport medium
Maintains charge balance
Salt Bridge
Connects half-cells
Allows ion migration

Understanding Cell EMF and Electrochemistry

What is Electromotive Force (EMF)?

EMF is the maximum potential difference between the cathode and anode of an electrochemical cell when no current is flowing. It represents the cell's ability to drive an electric current through an external circuit and is measured in volts (V).

Key Concepts

  • Standard Conditions: 25°C, 1 M concentration, 1 bar pressure
  • Electrode Potential: Tendency of an electrode to gain or lose electrons
  • Galvanic Series: Arrangement of metals by their electrode potentials

EMF Calculation Formula

Basic Formula

EMF = E°(cathode) - E°(anode)

EMF = Electromotive force (V)

E°(cathode) = Standard reduction potential of cathode

E°(anode) = Standard reduction potential of anode

Remember

• Cathode has higher potential (more positive)

• Anode has lower potential (more negative)

• Positive EMF indicates spontaneous reaction

Applications of Electrochemical Cells

Batteries

Portable energy storage devices using galvanic cells for power generation.

Electroplating

Using electrolytic cells to deposit thin metal layers for protection or decoration.

Corrosion Protection

Understanding electrode potentials helps prevent metal corrosion through cathodic protection.

Daniell Cell Example

Cell Setup

Anode: Zn | Zn²⁺ (E° = -0.76 V)

Cathode: Cu²⁺ | Cu (E° = +0.34 V)

Overall Reaction: Zn(s) + Cu²⁺(aq) → Zn²⁺(aq) + Cu(s)

EMF Calculation

EMF = E°(Cu²⁺/Cu) - E°(Zn²⁺/Zn)

EMF = (+0.34 V) - (-0.76 V)

EMF = +1.10 V (Spontaneous)

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