ElectrochemistryHard

Question

The standard reduction potential of a silver chloride electrode is 0.2 V and that of a silver electrode is 0.79 V. The maximum amount of AgCl that can dissolve in 106 L of a 0.1 M AgNO3 solution is

Options

A.0.5 mmol
B.1.0 mmol
C.2.0 mmol
D.2.5 mmol

Solution

AgCl + e- →  Ag + Cl-     Eo = 0.2 V
        Ag  → Ag+ + e-       Eo = - 0.79 V
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AgCl         Ag+ + Cl-     Eo = - 0.59 V
Eo = log K   ⇒   - 0.59 = log KSP     ⇒ KSP = 10-10
Now solubility of AgCl in 0.1 M AgNO3
S (S + 0.1) = 10-10     ⇒    S = 10-9  mol/L
Hence 1 mole dissolves in 109 L solution
hence in 106 L amount that dissolves in 1 m mol.

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