Respuesta :
according to the reaction equation:
Pb3(PO4)2 (s) ↔ 3Pb2+(aq) + 2 PO4 3-(aq)
when Ksp = [Pb2+]^3[PO43-]^2
when we have Ksp = 1 x 10^-54
and the initial [Pb2+] = 0.27 m
by substitution:
1 x 10^-54 = (0.27)^3 * [PO43-]^2
∴ [PO43-] = 7 x 10^-27 M
∴ Mass of lead (II) phosphate= molarity * 1 mol Pb3(PO4)2/ 2 mol PO43-*molar mass
= 7 x 10^-27 *1/2 * 811.5 g/mol
= 2.84 x 10^-24 g/L
Pb3(PO4)2 (s) ↔ 3Pb2+(aq) + 2 PO4 3-(aq)
when Ksp = [Pb2+]^3[PO43-]^2
when we have Ksp = 1 x 10^-54
and the initial [Pb2+] = 0.27 m
by substitution:
1 x 10^-54 = (0.27)^3 * [PO43-]^2
∴ [PO43-] = 7 x 10^-27 M
∴ Mass of lead (II) phosphate= molarity * 1 mol Pb3(PO4)2/ 2 mol PO43-*molar mass
= 7 x 10^-27 *1/2 * 811.5 g/mol
= 2.84 x 10^-24 g/L
Using the Ksp of the solute and the idea of common ion effect, the mass of solute dissolved is 4.4 * 10^-30 g.
What is common ion effect?
Common ion effect refers to a situation in which a solvent already has an ion in common with the solute which prevents dissolution of the solute in the solvent.
The equation of the reaction is; Pb3(PO4)2(s) ==> 3Pb^2+(aq) + 2PO4^3-(aq)
Now we know that the Ksp of solid lead (ii) phosphate is 1.00 x 10-54.
1.00 x 10-54 = [Pb^2+]^3 [PO4^3-]^2
[Pb^2+] = 0.270 M
[PO4^3-] = 7.12 * 10^-27 M
Then;
mass = 7.12 * 10^-27 M x 1 mol Pb3(PO4)2/2 mol PO43- x 811.5 g/mole = 4.4 * 10^-30 g
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