Answer:
185.2 g/mol.
Explanation:
Solvent = Benzene
Solute = lauryl alcohol
Given:
Mass of solute = 5 g
Mass of solvent = 0.1 kg
Freezing point of solvent, Temp.f = 4.1 °C
Initial freezing point of solvent, Temp.i = 5.5 °C
Molal freezing depression constant for Benzene, kf = 5.12 °C/m
ΔTemp.f = Temp.f - Temp.i
= 5.5 - 4.1
= 1.4 °C
ΔTemp.f = kf * m
Where m = molality
m = 1.4/5.12
= 0.27 mol/kg
Molality = number of moles of solute/mass of solvent
Number of moles = 0.27/0.1
= 0.027 mol.
Molar mass = mass/number of moles
= 5/0.027
= 185.2 g/mol.