How can you obtain the molar solubility of a compound from Ksp?

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter14: Chemical Equilibrium
Section: Chapter Questions
Problem 14.71QE
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How can you obtain the molar solubility of a compound from Ksp?

Expert Solution
Step 1

The equilibrium constant value of any insoluble or partially soluble compounds are known as Ksp i.e Solubility product.

The solubility product value of any compound can be used to find the molar solubility of the compound.

 

Step 2

For example, lets take a compound PbCl2 with solubility product Ksp.

Hence the below steps to find the molar solubility of compound using solubility product.

1) Write the balanced solubility reaction of compound.

=> PbCl2 (s) -------> Pb2+ (aq) + 2 Cl- (aq)                                             Keq = Ksp 

2) Assume the molar solubility of compound is s and find the corresponding concentration of ions in the solution.

Since the molar solubility is s. Hence s concentration of compound will dissolve to product ions.

Since from the solubility reaction we can see that 1 molar concentration of PbCl2 will dissolve to produce 1 molar concentration of Pb2+ ions and 2 molar concentration of Cl- ions.

Hence the concentration of ions present in the solution at equilibrium will be,

=> [Pb2+ ] = s and [Cl- ] = 2s

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