Consider this reaction:
PbCl2 (s) <--> Pb^2+ (aq) + 2Cl^-
a. Write down the equilibrium constant K for the above reaction.
b. Suppose you are performing an experiment where you are dissolving PbCl2 (s) in water at 25 degrees C. You added 1.11 g of solid PbCl2 to 100 mL of water. Calculate the reaction quotient Q for the above reaction assuming all the salt dissolves.
c. The equilibrium expression you wrote in part a is called the solubility product, describing the solubility equilibrium between an ionic solid and the dissolved ions. For this particular reaction:
K=1.6 * 10^-5 at 25 degrees C.
Can the solution you prepared above dissolve additional CaF2 without adding water?
d. If excess PbCl2 (s) was dissolved in water which initially contains zero ions, what are the concentrations of Pb^2+ and Cl^- ions at the equilibrium condition? Use K given in part C
At part A, I know the answer is Kc=(Pb^2+)(Cl^-)^2 because I don't factor in the solid into the equation.
Part B, what I did was this:
1.11g PbCl2 / 278.2 g PbCl2 = 0.00398994 mol PbCl2 (I divided grams by Molec Weight)
0.00398994 mol Pb2+ / 0.100L = 0.0398994 M Pb2+ (I was hoping that by splitting it, I'd use mols from the original equation and insert them for the mols for the individual atoms. So because Pb is only 1, I'd just insert the mol from PbCl2 into Pb and do the same for 2Cl but multiplied by two because of the coefficient.
0.00797988 mol Cl- / 0.100L = 0.0797988 M Cl-
Qsp = [Pb2+] [Cl-]² = 0.0399 x (0.0798)² = 2.54x10^-4
Even though I got that answer, I feel like there's a better explanation than just "splitting it".
Part C, I was completely lost because there was no mention of CaF2 so I wasn't sure what dissolving the CaF2 would do.
Part D, I set 1.6 x 10^-5= x(2x)^2 (I used the Ice chart off hand and again, didn't calculate the solid.)
1.6 x 10^-5=4x^3
x^3=4 x 10^-6
x=.01587
so plugging in
Pb^2+=.01587 mol
Cl^-=.0317 mol
I feel like A and D are solid. Part B has me questioning weather I followed the correct procedure and C just lost me completely.