The solubility of barium carbonate, BaCO3, is 0.0100 g/L. Its molar mass is 197.3 g/mol. What is the Ksp of barium carbonate?Express your answer numerically.

Respuesta :

Answer:

Ksp = [tex]2.57X10^{-9}[/tex]

Explanation:

Molar solubility of barium carbonate will be obtained by dividing the given solubility (in g/L) with molar mass of barium carbonate

molar solubility = [tex]\frac{solubility}{molarmass}=\frac{0.01}{197.3}=5.068X10^{-5}M[/tex]

The barium carbonate will undergo dissociation as:

            [tex]BaCO_{3}------>Ba^{+2}+CO_{3}^{-2}[/tex]

Ksp of barium carbonate will be

Ksp = [tex][Ba^{+2}][CO_{3}^{-2}][/tex]

If solubility of barium carbonate is "s"

The concentration of each ion will be "s"

Hence the expression becomes

Ksp = s²

where

s = molar solubility = 5.068 X10⁻⁵

Ksp = [tex]5.068X10^{-5}X5.068X10^{-5}=2.57X10^{-9}[/tex]