Chemistry

Electrochemical Cell and Gibbs Energy

EMF of a Cell

Chemistry
NEET UG
Version 1Updated 22 Mar 2026

The Electromotive Force (EMF) of an electrochemical cell represents the maximum potential difference between the two electrodes of the cell when no current is drawn from it. It is a measure of the driving force for the redox reaction occurring within the cell and is expressed in volts (V). EMF is an intensive property and is determined by the nature of the electrodes, the concentration of the elec…

Quick Summary

The Electromotive Force (EMF) of a cell is the maximum potential difference between its two electrodes when no current is drawn, representing the driving force of the spontaneous redox reaction. It's measured in volts (V) and is an intensive property.

EMF is calculated as the difference between the reduction potentials of the cathode and anode (Ecell=EcathodeEanodeE_{\text{cell}} = E_{\text{cathode}} - E_{\text{anode}}). Standard EMF (EcellE_{\text{cell}}^\circ) refers to conditions of 1 M concentration, 1 atm pressure, and 298 K, using the Standard Hydrogen Electrode (SHE) as a 0 V reference.

For non-standard conditions, the Nernst equation (Ecell=Ecell0.0592nlogQE_{\text{cell}} = E_{\text{cell}}^\circ - \frac{0.0592}{n} \log Q at 298 K) accounts for concentration and temperature effects. A positive EMF indicates a spontaneous reaction, directly related to a negative Gibbs free energy change (ΔG=nFEcell\Delta G = -nFE_{\text{cell}}).

It's crucial to distinguish EMF from terminal potential difference, which is always lower due to internal resistance when current flows.

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Key Concepts

Standard Hydrogen Electrode (SHE)

The SHE serves as the universal reference electrode for measuring standard electrode potentials. It consists…

Calculation of Cell EMF from Standard Potentials

The standard EMF of a cell (EcellE_{\text{cell}}^\circ) is calculated by identifying the anode (oxidation) and…

Application of Nernst Equation

The Nernst equation allows us to calculate the cell potential (EcellE_{\text{cell}}) under non-standard…

  • EMF (E):Max potential difference, open circuit, no current. Unit: Volts (V). \n- **Standard EMF (EcellE_{\text{cell}}^\circ): At 298 K, 1 M conc., 1 atm pressure. \n- Formula for EcellE_{\text{cell}}^\circ:** Ecell=EcathodeEanodeE_{\text{cell}}^\circ = E_{\text{cathode}}^\circ - E_{\text{anode}}^\circ \n- Nernst Equation (298 K): Ecell=Ecell0.0592nlogQE_{\text{cell}} = E_{\text{cell}}^\circ - \frac{0.0592}{n} \log Q \n- Gibbs Free Energy: ΔG=nFEcell\Delta G = -nFE_{\text{cell}} (Spontaneous if Ecell>0E_{\text{cell}} > 0, ΔG<0\Delta G < 0) \n- Equilibrium Constant: Ecell=0.0592nlogKE_{\text{cell}}^\circ = \frac{0.0592}{n} \log K (At equilibrium, Ecell=0E_{\text{cell}} = 0) \n- Faraday's Constant (F): 96485 C mol196485 \text{ C mol}^{-1}

Every Moment For Neet Gives Knowledge: \nEMF: Maximum Force (voltage) \nNernst Equation: E=E0.0592nlogQE = E^\circ - \frac{0.0592}{n} \log Q \nGibbs Free Energy: ΔG=nFE\Delta G = -nFE \nK (Equilibrium Constant): E=0.0592nlogKE^\circ = \frac{0.0592}{n} \log K

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