Q. Given, the data at 25 ℃ , $Ag\ + \ I^{-}\ \longrightarrow \ AgI\ + \ e^{-};\ \ E^{{^\circ}}\ = \ 0.152\ V$ $Ag\ \rightarrow \ \ {Ag}^{+}\ \ + \ e^{-};\ \ \ \ \ \ \ \ {\ \ E}^{{^\circ}}\ = \ - 0.800V$ What is the value of log $K_{sp}$ for AgI? $\left( 2.303\ \frac{RT}{F} = 0.059\ V \right)$

A) - 8.12
B) +8.612
C) -37.83
D) -16.13
Explanation

(d)
$AgI\ (s)\ + \ e^{-}\ \rightleftharpoons \ \ \ Ag\ (s) + \ I^{-}\$ ; $E^{{^\circ}}$ = 0.152 V
$\ \ \ \ \ \ \ \ \ \ \ Ag\ (s) \longrightarrow \ {Ag}^{+} + \ e^{-}$ $E^{{^\circ}}$ = - 0.8 V
[table] $AgI\ (s) \longrightarrow \ {Ag}^{+}\ \ + \ I^{-}$ ${\ \ E}^{{^\circ}}$ = - 0.952 [/table]
$\ \ \ \ \ E_{cell}^{{^\circ}} = \ \frac{0.059}{n}\log K_{sp}$
$- 0.952\ = \ \frac{0.059}{1}\log K_{sp}$
$\log K_{sp} = \ \frac{- 0.952}{0.059}\ = \ - \ 16.135$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.