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If Ksp of CaF2 at 25°C is 1.7 × 10^-10, the combination amongst the following which gives a precipitate of CaF2 is

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If Ksp of CaF2 at 25°C is 1.7 × 10-10, the combination amongst the following which gives a precipitate of CaF2 is

(a) 1 × 10-2 M Ca2+ and 1 × 10-3 M F-

(b) 1 × 10-4 M Ca2+ and 1 × 10-4 M F-

(c) 1 × 10-2 M Ca2+ and 1 × 10-5 M F-

(d) 1 × 10-3 M Ca2+ and 1 × 10-5 M F-

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Correct answer: (a) 1 × 10-2 M Ca2+ and 1 × 10-3 M F-

Explanation:

When ionic product i.e. the product of the concentration of ions in the solution exceeds the value of solubility product, formation of precipitate occurs.

CaF2 ⇌ Ca2+ + 2F-

Ionic product = [Ca2+][F-]2

when, [Ca2+] = 1 x 10-2 M

[F-]2 = (1 x 10-3)2M

= 1 x 10-6 M

∴ [Ca2+][F-]2 = (1 x 10-2)(1 x 10-6)

= 1 x 10-8

In this case,

Ionic product (1 x 10-8) > solubility product (1.7 x 10-10)

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