Chemistry > Electrochemistry > 15.0 Thermodynamics of the Cells

  Electrochemistry
    1.0 Introduction
    2.0 Conductors and Non-Conductors
    3.0 Electrochemical Cells
    4.0 Electrolysis and electrode Reactions
    5.0 Electrochemical Cell
    6.0 Electrode Potential
    7.0 Nature of Electrodes
    8.0 IUPAC Cell Representation and Convention
    9.0 Standard Cell EMF and Standard Reduction Potential
    10.0 Electropositive Character of Metals
    11.0 Difference between EMF and potential difference
    12.0 Nernst Equation
    13.0 Laws of Electrolysis
    14.0 Electromotive Force
    15.0 Thermodynamics of the Cells
    16.0 Concentration Cells
    17.0 Battery
    18.0 Fuel Cell

15.1 Condition of Equilibrium
When ${E_{cell}} = 0.0V$ i.e., no potential difference is obtained between two terminals of the cell battery, the cell reaction is said to be in equilibrium, So from nernst equation, we have
$$\begin{equation} \begin{aligned} {E_{cell}} = {E_{cell}}^0 - \frac{{0.0591}}{n}{\log _{10}}Q \\ 0 = {E_{cell}}^0 - \frac{{0.0591}}{n}{\log _{10}}Q \\ {E_{cell}}^0 = \frac{{0.0591}}{n}{\log _{10}}Q \\ {E_{cell}}^0 = 2.303\frac{{RT}}{{nF}}{\log _{10}}{K_{eq}} \\\end{aligned} \end{equation} $$
As at equilibrium $Q$ (i.e., quotient) will be equilibrium constant.
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