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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.
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Verified Answer
The correct answer is:
180
Suppose solubility of PbCl2 in water is s mol L-1.
Ksp = [Pb2+] · [Cl-]2
Ksp = [s] [2s]2 = 4s3
3.2 × 10-8 = 4s3
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.
= 0.1798 L = 179.8 mL
Ksp = [Pb2+] · [Cl-]2
Ksp = [s] [2s]2 = 4s3
3.2 × 10-8 = 4s3
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.
= 0.1798 L = 179.8 mL
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