Answer: The volume of solution is 2248 ml
Explanation:
Molarity of a solution is defined as the number of moles of solute dissolved per liter of the solution.
[tex]Molarity=\frac{n\times 1000}{V_s}[/tex]
where,
n = moles of solute
[tex]V_s[/tex] = volume of solution in ml
moles of [tex]Mg(OH)_2[/tex] = [tex]\frac{\text {given mass}}{\text {Molar mass}}=\frac{91.80g}{58.32g/mol}=1.574mol[/tex]
Now put all the given values in the formula of molality, we get
[tex]0.7=\frac{1.574\times 1000}{V_s}[/tex]
[tex]V_s=\frac{1.574\times 1000}{0.7}=2248ml[/tex]
Therefore, the volume of solution is 2248 ml
