1. Tardigrade
  2. Question
  3. Chemistry
  4. The standard emf of a galvanic cell involving 2 moles of electrons in its redox reaction is 0.59 V. The equilibrium constant for the redox reaction of the cell is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The standard emf of a galvanic cell involving $2$ moles of electrons in its redox reaction is $0.59\, V$. The equilibrium constant for the redox reaction of the cell is

KCETKCET 2011Electrochemistry

Solution:

In a galvanic cell, $\Delta G^{\circ}=-n F E^{\circ}$ ...(i)

Relationship between $\Delta G^{\circ}$ and equilibrium constant

$\Delta G^{\circ}=-2.303 R T \log K_{p}$ ...(ii)

From Eqs. (i) and (ii), we get

$-2.303\, R T \log K_{p}=-n F E^{\circ}$

$\log K_{p}=\frac{n F E^{\circ}}{2.303 R T}=\frac{n E^{\circ}}{\frac{2.303 R T}{F}}$

$=\frac{2 \times 0.59}{0.059}=20$

$K_{p}= AL (20)$ ( AL =Antilog)

$K_{p}=10^{20}$