A solution of 0.1 L of 0.3 M Ca(NO3)2 is mixed with 0.2 L of 0.06 M NaF. Calculate the reaction quotient Qsp. Does calcium fluoride precipitate? (Ksp (CaF2) = 3.2×10–11). (A) Qsp = 1.6×10–4; no precipitate. (B) Qsp = 1.6×10–4; a precipitate will form. (C) Qsp = 3.2×10–11; no precipitate. (D) Qsp = 3.2×10–11; a precipitate will form. (E) Qsp = 3.2×10–7; no precipitate.
Correct answer is : (B.) Qsp = 1.6 x 10-4 ; a precipitate will form
Explanation
Concentration Ca(NO3)2 = 0.3 M
volume Ca(NO3)2 = 0.1 L
moles Ca(NO3)2 = (Concentration Ca(NO3)2) * (volume Ca(NO3)2)
moles Ca(NO3)2 = (0.3 M) * (0.1 L)
moles Ca(NO3)2 = 0.03 mol
final volume = 0.1 L + 0.2 L = 0.3 L
final concentration of Ca(NO3)2 = (moles Ca(NO3)2) / (final volume)
final concentration of Ca(NO3)2 = (0.03 mol) / (0.3 L)
final concentration of Ca(NO3)2 = 0.1 M
Similarly, final concentration of NaF = 0.04 M
Reaction quotient, Qsp = [Ca2+][F-]2
Qsp = (0.1 M) * (0.04 M)2
Qsp = 1.6 x 10-4
Since Qsp > Ksp, therefore, precipitate will form.
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