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Calculate the volume of water(in mL) required to dissolve 0.1 g lead (II) chloride to get a saturated solution (Ksp of PbCl2 = 3.21 × 10-8, atomic mass of Pb = 207 u).Report your answer by rounding it up to nearest whole number.
ChemistryIonic EquilibriumJEE Main
Solution:
1381 Upvotes Verified Answer
The correct answer is: 180
Suppose solubility of PbCl2 in water is s mol L-1.

PbCl 2 s Pb 2 + (aq) + 2Cl - (aq) 1 - s s 2s

Ksp = [Pb2+] · [Cl-]2

Ksp = [s] [2s]2 = 4s3

3.2 × 10-8 = 4s3

s 3 = 3.2 × 10 - 8 4 = 0.8 × 10 - 8

s3 = 8.0 × 10-9

Solubility of PbCl2, = s = 2 × 10-3 mol L-1

Solubility of PbCl2 in gL-1 = 278 × 2 × 10-3 = 0.556 g L-1

                     (∵ Molar mass of PbCl2 = 207 + (2 × 35.5) = 278)

0.556 g of PbCl2 dissolve in 1 L of water.

0.1 g of PbCl 2 will dissolve in = 1 × 0.1 0.556 L of water

​= 0.1798 L = 179.8 mL

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