Estimation of molecular weight from freezing point depression

Apparatus

A. Temperature-controlled magnetic stirrer
B. Thermometer
C. Beaker (500 mL)
D. Test tube
E. Naphthalene
F. Sulfur powder
G. Clamp

Procedure in laboratory (diagram)










Depression of freezing point,
Depression of freezing point,
ΔTf = -(Tf1 - Tf)


Procedure in laboratory (diagram)



Sample Data and Analysis
Determination of freezing point of pure naphthalene and naphthalene-solute mixture





Calculation


Figure 1. Temperature vs time graph of pure naphthalene and naphthalene-solute mixture.

The cryoscopic constant (Kf) of naphthalene is 6.9 °C/molality. From the experiment, we measured the depression in the freezing point (ΔTf) of naphthalene after adding the unknown solute is 5 °C. For the experiment 5 gm (w_solvent)of naphthalene was taken and 1 gm (wsolute)of unknown solute was added in naphthalene. According to equation 5, the molecular weight of the solute added in the naphthalene solvent will be
M = (Kf × wsolute × 1000) / (ΔTf × wsolvent)
M = (6.9×1×1000) / (5×5) = 276 g mol(-1)