Step-by-Step approach
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Ans : D) 9.0 x 10-17
AgI disolves as :
AgI = Ag+ + I-
ksp = [Ag+] [I-]
The first and third reaction can be added to get the desired reaction for the dissolution of AgI
AgI + e- = Ag + I- Eo = -0.15 V
Ag = Ag+ + e- Eo = -0.80 V
So Eo for the reaction will be -0.15 + -0.80 = -0.95 V
Now using the Nernst equation :
Ecell = Eocell - (0.059/n) log K
0 = -0.95 - (0.059/1) log K
Log K = 0.95 / -0.059
K = 9.0 x 10-17
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