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If a solution of caf2 (s) in water contains 6.0 x 10-3 moles of ca2 per liter and has a ksp of 4.0 x 10-11 at 25 oc, what is the maximum possible concentration of f- present?

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Final answer:

The maximum possible concentration of F- present is 5.7 x 10^-5 M.

Step-by-step explanation:

To find the maximum possible concentration of F- present, we can use the information given about the solubility product constant (Ksp) and the molar amount of Ca2+ ions present in the solution. Since the formula of CaF2 (calcium fluoride) is 1:2, we know that for every 1 mole of Ca2+ ions, there are 2 moles of F- ions. Therefore, the molar amount of F- ions is twice the molar amount of Ca2+ ions.

Given that the solution contains 6.0 x 10^-3 moles of Ca2+ per liter and the Ksp is 4.0 x 10^-11, we can set up the equation for Ksp and solve for the molar amount of F- ions:

Ksp = [Ca2+][F-]^2
4.0 x 10^-11 = (6.0 x 10^-3)(2x)^2
(2x)^2 = 4.0 x 10^-11 / (6.0 x 10^-3)
x^2 = 3.3 x 10^-9
x = sqrt(3.3 x 10^-9) = 5.7 x 10^-5 M

Therefore, the maximum possible concentration of F- present is 5.7 x 10^-5 M.

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