The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp. The solubility product is a kind of equilibrium constant and its value depends on temperature. Ksp usually increases with an increase in temperature due to increased solubility. Solubility is defined as a property of a substance called solute to get dissolved in a solvent in order to form a solution. The solubility of ionic compounds (which dissociate to form cations and anions) in water varies to a great deal. Some compounds are highly soluble and may even absorb moisture from the atmosphere, whereas others are highly insoluble. Solubility depends on a number of parameters, amongst which the lattice enthalpy of salt and solvation enthalpy of ions in the solution are of most importance.
Salts are classified on the basis of their solubility in the following table.
Solubility Product ConstantSuppose barium sulphate along with its saturated aqueous solution is taken. The following equation represents the equilibrium set up between the undissolved solids and ions: The equilibrium constant in the above case is: = In the case of pure solid substances, the concentration remains constant, and so we can say: = = Here is known as the solubility product constant. This further tells us that solid barium sulphate when in equilibrium with its saturated solution, the product of concentrations of ions of both barium and sulphate is equal to the solubility product constant. Related VideosWe now have a brief idea about the solubility of a compound and the factors affecting it. For any further query on this topic, call the mentor support team at BYJU’S.
The solubility of a substance in a solvent is the total amount of the solute that can be dissolved in the solvent at equilibrium. On the other hand, the solubility product constant is an equilibrium constant that provides insight into the equilibrium between the solid solute and its constituent ions that are dissociated across the solution.
When dissolved in polar solvents, one magnesium fluoride molecule dissociates into one magnesium cation and two fluoride anions. This equilibrium reaction can be represented as follows. MgF2 ⇌ Mg2+ + 2F– Therefore, the solubility product constant can be expressed as: Ksp = [Mg2+][F–]2
The chemical formula of common salt is NaCl. When dissolved in polar solvents, one sodium chloride molecule dissociates into one sodium cation and one chloride anion. This equilibrium reaction can be represented as follows. NaCl ⇌ Na+ + Cl– Therefore, the solubility product constant can be expressed as: Ksp = [Na+][Cl–]
The chemical formula of calcium chloride is CaCl2. When dissolved in polar solvents, one calcium chloride molecule dissociates into one calcium cation and two chloride anions. This equilibrium reaction can be represented as follows. CaCl2 ⇌ Ca2+ + 2Cl– Therefore, the solubility product constant can be expressed as: Ksp = [Ca2+][Cl–]2
Some important factors that have an impact on the solubility product constant are:
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Solubility Product Ksp
$${\rm PbF}_{2(s)}\rightleftharpoons {\rm Pb}_{(aq)}^{2+}+{2F}_{(aq)}^-$$ The expression of equilibrium constant or solubility product for this reaction is: $$K_{sp}=[{Pb}^{2+}][F^-]^2$$
Table: Solubility product expressions of selected few ionic compounds.
Example 1 The following table shows the solubility product constants of selected ionic compounds at 25ºC.
Rank the ionic compounds in the table in order of increasing solubility. Solubility of Ionic Compounds
Practice QuestionsDetermining Ksp from solubility Question 1 (a) Lead(II) sulfate (PbSO4) is a key component in lead acid car batteries. (b) Its solubility in water at 25°C is 4.25 `xx` 10-3 g/100 mL. What is the Ksp of PbSO4? (c) In terms of their constituent ions, explain why lead(II) fluoride has a much greater solubility than lead(II) sulfate. Question 2 The solubility of silver chloride in water at 25ºC is 1.34 `xx` 10-5.What is the Ksp of silver chloride? Question 3 The solubility of calcium hydroxide in water at 25ºC is 0.074 g/100 mL. What is the Ksp of calcium hydroxide? Determining solubility from Ksp Question 1 Ksp of barium sulfate is 11.1 `xx` 10-10. What is the solubility of barium sulfate in moles per litre? What about in grams per mL?
Ksp of iron(III) hydroxide is 14.4 `xx` 10-38. What is the solubility of iron(III) hydroxide in moles per litre? What about in grams per mL? Quotient Solubility Product Q
Practice QuestionsDetermining formation of precipitate Question 1 0.100 g of BaSO4 is added to 500.0 mL of water at 25 ºC. Calculate the Qsp of this barium sulfate solution and thus determine whether a precipitate will form. Question 2 Will lead(II) chloride precipitate when 50 mL of 0.10 M Pb(NO3)2 solution is mixed with 50 mL of 0.10 M NaCl solution? Support your answer with a balanced chemical equation and calculations. Question 3 Equal volumes of 0.25 mol L–1 solutions of silver nitrate and calcium chloride are mixed at 25 ºC. Predict whether a precipitate will form. Support your answer with calculations. Previous section: Dissolution of Ionic Compound Next section: Common Ion Effect
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