A solution of NaF is added dropwise to a solution that is 0.0660 M in Mg2+ and 1.96e-08 M in Y3+. The Ksp of MgF2 is 5.16e-11. The Ksp of YF3 is 8.62e-21. (a) What concentration of F- is necessary to begin precipitation? (Neglect volume changes.) [F-] = ______ M. (b) What is the concentration of F- when the second cation begins to precipitate? [F-] =______ M.

A solution of NaF is added dropwise to a solution that is 0.0660 M in Mg²⁺ and 1.96e-08 M in Y³⁺.

The K_sp of MgF₂ is 5.16e-11.
The K_sp of YF₃ is 8.62e-21.

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(a) What concentration of F^– is necessary to begin precipitation? (Neglect volume changes.)

[F^–] = ______ M.

(b) What is the concentration of F^– when the second cation begins to precipitate?

[F^–] =______  M.

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