Calculate the volume of water required

Question:

Calculate the volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution. (Ksp of PbCl2 = 3.2 × 10-8, atomic mass of Pb = 207 u).

Solution:

Given, Ksp of PbCl2 =3.2 ×10-8

The equation of disassociation of PbCl2 will be-

PbCl2 ⇌ Pb2+ + 2Cl-

Ksp = [Pb2+] [Cl-] 2

= (x) × (2x) 2 = 4×3

4×3 =3.2 × 10-8

x=2 ×10-3 mol/L

Solubility = molar mass (PbCl2) × 2 × 10-3

=556 × 10-3 =0.556 g/L

0.1g of PbCl2 will dissolve in 0.1/0.0556 = 0.1798L

The required volume to get a saturated solution of PbCl2 is 0.1798 L

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