Explanation:
A.
Mass of pure water = density * volume
= 19.9 * 0.9982
= 19.86 g
Average freezing point = (T1 + T2)/2
= 4/2
= 2 °C
B.
Mass of water = density * volume
= 20.1 * 0.9982
= 20.06 g
Mass of LiCl = mass of weigh boat + LiCl - mass of weigh boat
= 3.2760 - 2.9887
= 0.2873 g.
Number of moles = mass/molar mass
= 0.2873/42.394
= 0.0068 mol.
Molality, m = number of moles of LiCl/mass of solvent
= 0.0068/0.01986
= 0.34 mol/kg.
Average freezing point of LiCl = (T1 + T2)/2
= 1.4/2
= 0.7 °C.
Using freezing point depression,
ΔTF = KF * b * i
where:
ΔTF / freezing-point depression = Temp.F(pure solvent) − Temp.F(solution).
KF = cryoscopic constant, which is dependent on the properties of the solvent, not the solute. For water, KF = 1.853 K·kg/mol.
b = molality
i = van 't Hoff factor
2 - 14 = 1853 * 0.34 * i
i = 0.019