State True or False.
The standard reaction potential of $C l^{-} | A g C l | A g$ half-cell is related to that of $A g^{+} | A g$ half-cell through the expression $E_{A g + | A g}^{o} = E_{C l^{-} | A g C l | A g}^{o} + \frac{R T}{F} l n K_{s p} (A g C l)$

True

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False

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Solution

The correct option is B False
The given statement is false.
$E_{C l^{-} | A g C l | A g}^{o} = E_{A g + | A g}^{o} + \frac{R T}{F} l n K_{s p} (A g C l)$
For $A g^{+} | A g$ half cell, $E_{A g + | A g} = E_{A g + | A g}^{o} - \frac{R T}{F} l n \frac{1}{[A g^{+}]}$ ......(1)
For $C l^{-} | A g C l | A g$ half cell, $E_{C l^{-} | A g C l | A g} = E_{C l^{-} | A g C l | A g}^{o} - \frac{R T}{F} l n [I^{-}]$ ......(2)
(1) $=$ (2)
$E_{A g + | A g}^{o} - \frac{R T}{F} l n \frac{1}{[A g^{+}]} = E_{C l^{-} | A g C l | A g}^{o} - \frac{R T}{F} l n [C l^{-}]$
$E_{C l^{-} | A g C l | A g}^{o} = E_{A g + | A g}^{o} + \frac{R T}{F} l n [A g^{+}] [C l^{-}]$
$E_{C l^{-} | A g C l | A g}^{o} = E_{A g + | A g}^{o} + \frac{R T}{F} l n K_{s p} (A g C l)$

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