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At 25 °C, the solubility product (Ksp) of CaF2 in water is 3.2 × 10–11. The solubility (in mole per kg of water) of the salt at the same temperature (ignore ion pairing) is
  • a)
    4.0 × 10-6
  • b)
    3.2 × 10-4
  • c)
    2.5 × 10-4
  • d)
    2.0 × 10-4
Correct answer is option 'D'. Can you explain this answer?
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Solubility Product and Solubility of CaF2 in Water

Solubility Product (Ksp)
- At 25°C, the solubility product (Ksp) of CaF2 in water is 3.2 x 10^11.
- This means that when CaF2 is dissolved in water, it dissociates into Ca2+ and F- ions until a certain concentration is reached.
- At this concentration, the product of the concentrations of Ca2+ and F- ions is equal to the Ksp value of CaF2.

Solubility of CaF2
- The solubility of CaF2 refers to the maximum amount of CaF2 that can dissolve in a given amount of water at a certain temperature.
- It is usually expressed in moles per kg of water.
- At 25°C, the solubility of CaF2 can be calculated using the Ksp value and the ion concentrations in the solution.

Calculation
- The dissociation of CaF2 in water can be represented by the equation:
CaF2 (s) ↔ Ca2+ (aq) + 2F- (aq)
- Let x be the concentration of Ca2+ and 2x be the concentration of F- in the solution.
- Then, the product of the ion concentrations is:
x x (2x)^2 = 4x^3
- This product should be equal to the Ksp value of CaF2, which is 3.2 x 10^11.
- Therefore, we can solve for x:
4x^3 = 3.2 x 10^11
x = 2 x 10^-4

- This means that the concentration of Ca2+ in the solution is 2 x 10^-4 M, and the concentration of F- ions is 4 x 10^-4 M.
- The solubility of CaF2 is equal to the concentration of CaF2 that dissolves in the solution, which is equal to the concentration of Ca2+ ions since CaF2 dissolves stoichiometrically.
- Therefore, the solubility of CaF2 is 2 x 10^-4 mole per kg of water.

Answer
- The correct answer is option D, which is 2.0 x 10^-4.
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At 25 °C, the solubility product (Ksp) of CaF2 in water is 3.2 × 10–11. The solubility (in mole per kg of water) of the salt at the same temperature (ignore ion pairing) isa)4.0 × 10-6b)3.2 × 10-4c)2.5 × 10-4d)2.0 × 10-4Correct answer is option 'D'. Can you explain this answer?
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