J.R. S. answered 10/11/18
Ph.D. University Professor with 10+ years Tutoring Experience
This is a rather long, involved, complex answer, so I hope you can follow the steps.
Sr(NO3)2(aq) + 2NaF(aq) ==> SrF2(s) + 2NaNO3(aq)
moles Sr^2+ = 0.155 L x 2.996 mole/L = 0.4644 moles
moles F^- = 0.220 L x 2.924 mole/L = 0.6433 moles
It takes 2 moles F^- to precipitate 1 mole Sr^2+, so F^- is limiting.
Since both Na^+ and NO3^- are spectator ions, and the final volume is 155 ml + 220 ml = 375 ml (0.375 L), the concentrations of Na^+ and NO3^- can be calculated as follows:
[Na^+]: (220 ml)(2.924 M) = (375 ml)(x M) and x = 1.715 M
[NO3^-]: (155 ml)(2.996 M)(2) = (375 ml)(x M) = 2.477 M
Now, for the [Sr^2+] and [F^-]
Initial moles of Sr^2+ = 0.4644 moles
Moles Sr^2+ precipitated by F^- = 0.6433/2 = 0.3217 (1 mole Sr^2+ precipitated by 2 moles F^-)
Moles Sr^2+ no precipitated (left over) = 0.4644 - 0.3217 = 0.1427 moles Sr^2+ unprecipitated
[Sr^2+] = 0.1427 moles/0.375 L = 0.3805 M
To find [F^-], one needs the Ksp for SrF2. There are several values listed in the literature. I am using a value of 2x10^-10.
SrF2(s) <==> Sr^2+(aq) + 2F^-(aq)
Ksp = [Sr^2+][F^-]^2
2x10^-10 = (0.3805)(x)^2
x^2 = 5.256x10^-10
x = [F^-] = 2.29x10^-5 M