First slide

Standard EMF of a cell

Question

$E_{cell}^{o} = 1.1 V$ for Daniell cell. Which of the following expressions are correct description of state of equilibrium in this cell?

Moderate

A

1.1 = K_c
B

$\frac{2 .303 RT}{2 F} \log K_{C} = 1 .1$
C

$\log K_{C} = \frac{2 .2}{0 .059}$
D

$\log K_{C} = 1 .1$

Solution

At state of equilibrium, $ΔG = - RT \ln K$
$- {nFE}^{\circ} = - RT 2 .303 \log K_{C}$
$E^{\circ} = \frac{+ RT 2 .303 \log K_{C}}{+ 2 F} (n = 2 for Daniell cell)$
$∵ At equilibrium E^{\circ} = 1 .1$
$∴ \frac{2 .303 RT}{2 F} \log K_{C} = 1 .1 \Rightarrow \log K_{C} = \frac{2 .2}{0 .059}$ [on solving]

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