The boiling point of a solution is dependent on the concentration of the solute particles in the solution. In order to calculate the boiling point of a solution, we need to know the molality of the solution.
Molality (m) is defined as the number of moles of solute per kilogram of solvent. We can calculate the molality of the magnesium hydroxide solution using the following formula:
m = (moles of solute) / (mass of solvent in kg)
First, we need to calculate the number of moles of magnesium hydroxide in the solution:
moles of Mg(OH)2 = mass of Mg(OH)2 / molar mass of Mg(OH)2
moles of Mg(OH)2 = 3.75 g / 58.33 g/mol
moles of Mg(OH)2 = 0.064 mol
Next, we need to convert the mass of water to kilograms:
mass of water = 100.0 g = 0.100 kg
Now we can calculate the molality of the solution:
m = 0.064 mol / 0.100 kg
m = 0.64 mol/kg
The boiling point elevation (ΔTb) of the solution can be calculated using the following formula:
ΔTb = Kb * m
where Kb is the boiling point elevation constant for water, which is 0.512 °C/m.
ΔTb = 0.512 °C/m * 0.64 mol/kg
ΔTb = 0.328 °C
Finally, we can calculate the boiling point of the solution by adding the boiling point elevation to the boiling point of pure water, which is 100.0 °C:
boiling point = 100.0 °C + 0.328 °C
boiling point = 100.328 °C
Therefore, the boiling point of the magnesium hydroxide solution is 100.328 °C.