Chapter 20, Problem 20.120MP

Interpretation Introduction

Interpretation:

The molar concentrations of ${\text{Mg}}^{2+}$ and ${\text{CO}}_3^{2-}$ in the filtrate needs to be determined. Also, the solubility product constant of MgCO₃ needs to be determined.

Concept introduction:

The molarity of a solution is defined as number of moles of solute dissolved in 1 L of the solution. In a solution, the molarity of an ion is considered as its solubility. For a salt dissociation represented as follows:

$A{B}_2\rightleftharpoons A^{2+}+2B^{-}$

The solubility product of the salt can be calculated as follows:

$K_{\text{sp}}=\left[{\text{A}}^{2+}\right]{\left[{\mathrm{B}}^{-}\right]}^2$

Here, $\left[{\text{A}}^{2+}\right]$ and $\left[{\mathrm{B}}^{-}\right]$ is solubility of A and B ions in the solution.