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Q. $H _{2(g)}+2 AgCl _{(s)} \rightleftharpoons 2 Ag _{(s)}+2 HCl _{(a q)}$
$E _{\text {cell }}^{\circ}$ at $25^{\circ} C$ for the cell is $0.22\, V$. The equilibrium constant at $25^{\circ} C$ is

KCETKCET 2021Electrochemistry

Solution:

$E _{\text {cell }}^{0}=\frac{0.059}{ n } \log K _{ C }$
$0.22=\frac{0.059}{2} \log K _{ c }$
$\log K _{ c }=\frac{0.22 \times 2}{0.059}=7.457$
$K _{ C }=2.8 \times 10^{7}$