At 25 ∘C, the osmotic pressure of a solution of the salt XY is 60.8 torr . What is the solubility product of XY at 25 ∘C?
T = 25 + 273 = 298K
osmotic pressure P = 60.8 torr = 60.8 /760 = 0.08 atm
S = 0.0821 L-atm / mol K
for XY vanthoff factor i = 2
P = i M S T
0.08 = 2 x M x 0.0821 x 298
M = 1.64 x 10^-3 molar
solubility = 1.64 x 10^-3 M
XY -------------------> X+ + Y-
S S
Ksp = [X+][Y-]
Ksp = S^2
Ksp = (1.64 x10^-3)^2
Ksp = 2.67 x 10^-6
solubility product = 2.67 x 10^-6
At 25 ∘C, the osmotic pressure of a solution of the salt XY is 60.8 torr...
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