Question

Solubility of a sparingly soluble salt \[X{B_2}\] in water is x. What will be its solubility in a solution of yB having concentration of 0.001M?
A. \[{x^2} \times {10^{ - 6}}\]
B. \[4{x^3} \times {10^6}\]
C. \[4{x^3} \times {10^ - }^6\]
D. $4{x^3} \times {10^3}$

Answer 1

Hint:For solving this question, first we need to understand solubility equilibrium. It is a type of dynamic equilibrium that exists when there is a chemical compound in the solid state. Then, the compound is said to be in chemical equilibrium with a solution.

Complete answer:
We know that the solubility product can be defined as the product of molar concentration of its ion in a saturated solution. Each of the molar concentration is raised to the power equal to the number of ions produced on dissociation reaction of one molecule of the electrolyte.
Also, we need to recall the meaning of a sparingly soluble material. Sparingly soluble materials are those which have lower solubility. These materials are usually treated as sparingly soluble for example 1g of a material requires 30 to 100ml of solute to dissolve.
We can express the solubility product as:
\[{A_x}{B_y} \rightleftharpoons x{A^{y + }} + y{B^{x - }}\]
\[{K_{sp}} = {[{A^{y + }}]^x} \times {[{B^{x - }}]^y}\]
Here,\[{K_{sp}}\] is the constant for a particular temperature which is irrespective of the source of ions.
According to the given salt $X{B_2}$ we know that
${X^{2 + }} + 2{B^ - }$
${K_{sp}} = 4 \times 3 = S \times {(0.001)^2}$
$S = 4{x^3} \times {10^6}$
Therefore, the option B is correct.
We all know that solubility is the property of a solid, liquid, or gaseous chemical substance called solute to dissolve in a solid, liquid, or gaseous solvent.

Note:
We need to note that the concentration of solute dissolves in a solvent; solutes are categorized into highly soluble, sparingly soluble or insoluble. The solubility of a substance depends on its physical and chemical properties. And in addition to this, there are also a few conditions that can manipulate it like temperature, pressure and the type of bond that exists and the forces between the particles are also taken into consideration.