Will a precipitate form when 0.10 L of 0.1M Ca(NO3)2 is added to 0.5 L of 0.01M NaF? (Ksp of CaF2 = 3.9 x 10-11)Yes, because Q > Ksp.Yes, because Q < Ksp.Yes, because Q is equal to Ksp.No, because Q < Ksp.
Question
Will a precipitate form when 0.10 L of 0.1M Ca(NO3)2 is added to 0.5 L of 0.01M NaF? (Ksp of CaF2 = 3.9 x 10-11)Yes, because Q > Ksp.Yes, because Q < Ksp.Yes, because Q is equal to Ksp.No, because Q < Ksp.
Solution
To answer this question, we first need to write the balanced chemical equation for the reaction:
Ca(NO3)2 + 2NaF → CaF2 + 2NaNO3
Next, we calculate the initial concentrations of Ca2+ and F- ions. The concentration of Ca2+ ions is given by the molarity of Ca(NO3)2, which is 0.1 M. The concentration of F- ions is given by the molarity of NaF, which is 0.01 M.
However, since the volume of the NaF solution is 5 times greater than the volume of the Ca(NO3)2 solution, the final concentration of F- ions will be 5 times less than the initial concentration. Therefore, the final concentration of F- ions is 0.01 M / 5 = 0.002 M.
The reaction quotient Q is given by the product of the concentrations of the products divided by the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. Since the reaction produces 1 mole of CaF2 for every 1 mole of Ca(NO3)2 and 2 moles of NaF consumed, the reaction quotient Q is given by:
Q = [CaF2] / ([Ca2+][F-]^2)
Substituting the calculated concentrations into this equation gives:
Q = [CaF2] / (0.1 M * (0.002 M)^2) = [CaF2] / 4 x 10^-7
We are asked to compare Q with the solubility product constant Ksp of CaF2, which is given as 3.9 x 10^-11. If Q > Ksp, a precipitate will form. If Q < Ksp, no precipitate will form. If Q = Ksp, the solution is saturated and whether a precipitate forms will depend on other factors.
Since we don't know the concentration of CaF2, we can't calculate the exact value of Q. However, we can see that for any non-zero concentration of CaF2, Q will be much greater than Ksp, because the denominator of the fraction is much smaller than Ksp. Therefore, a precipitate will form.
So, the correct answer is: Yes, because Q > Ksp.
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