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How do you solve the Ksp equation?

Answer
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Hint The solubility product constant is a simplified equilibrium constant which is denoted as Ksp. It is defined for the equilibrium between a solid and its respective ions in a given solution.

Complete step by step answer:
- Solubility is defined as the property of a substance known as solute to get dissolved in a solvent for the formation of a solution.
- The solubility of ionic compounds that dissociate and form cations and anions in water vary to a great extent.
- The solubility product constant is used to describe the saturated solutions of ionic compounds having relatively low solubility. A saturated solution is said to be in a state of dynamic equilibrium between the ionic compound and the undissolved solid.
- The Ksp formula is given in the form of the following equation
$M_{x}A_{y}(s)\rightarrow xM^{y+}(aq)+yA^{x-}(aq)$
- The general equilibrium constant is written as follows
$Kc=[M^{y+}]^{x}[A^{x-}]^{y}$
- The solubility depends on several numbers of parameters which includes the lattice enthalpy of salt and solvation enthalpy of ions in the solution that are of most importance.
- The nature of the solvent finds the amount of energy that is released during the solvation which is the solvation enthalpy.
- Let us take an example of solubility product constant for $MgF_{2}$
The equilibrium reaction for $MgF_{2}$ can be given as
$MgF_{2}(s)\Leftrightarrow Mg^{2+}(aq)+2Fe^{-}(aq)$
And thus, the associated equilibrium constant is given be
$Ksp=[Mg^{2+}][Fe^{-}]^{2}$

Note: The solubility product is always dependent upon the solubility equation. The solubility equation depends upon the concentration of the dissociated ions and their numbers.