Question:

The standard emf of a cell involving one electron charge is found to be $0.591\, V$ at $25^{\circ} C$. The equilibrium constant of the reaction is $\left(1\, F =96500\, C\, mol ^{-1}, R=8.314\, J\, K ^{-1} mol ^{-1}\right)$

Updated On: Jul 28, 2022
  • $ 1.0\times 10^{1}$
  • $ 1.0\times 10^{30}$
  • $ 1.0\times 10^{10}$
  • $ 1.0\times 10^{5}$
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The Correct Option is C

Solution and Explanation

At $298\, K$ $E^{\circ} =\frac{0.0591}{n} \log K_{c}$ $0.591 =\frac{0.0591}{1} \log K_{c}$ $\log K_{c} =\frac{0.5910}{0.0591}$ $\log K_{c} =10$ $K_{c} =10^{10}$
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Concepts Used:

Nernst Equation

This equation relates the equilibrium cell potential (also called the Nernst potential) to its concentration gradient across a membrane. If there is a concentration gradient for the ion across the membrane, an electric potential will form, and if selective ion channels exist the ion can cross the membrane.