Ionic EquilibriumHard

Question

The simultaneous solubilities of AgSCN and AgBr are, respectively (Ksp of AgSCN = 1 × 10–12, Ksp of AgBr = 2.1 × 10–13),

Options

A.9.09 × 10−7 M, 1.909 × 10−7 M
B.1.909 × 10−7 M, 9.09 × 10−7 M
C.9.09 × 10−6 M, 1.909 × 10−7 M
D.1.1 × 10−6 M, 2.1 × 10−7 M

Solution

AgSCN(s) $\rightleftharpoons$ Ag+ + SCN

(x + y)M xM

AgBr (s) $\rightleftharpoons$ Ag+ + Br

(x + y)M yM

Now, (x + y)⋅x = 1 × 10–12 (1) x = 9.09 × 10–7

(x + y)⋅y = 2.1 × 10–13 (2) y = 1.909 × 10–7

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