When a 33.8-g sample of an unknown compound is dissolved in 500. g of benzene, the freezing point of the resulting solution is 3.77°c. the freezing point of pure benzene is 5.48°c, and kf for benzene is 5.12°c/m. calculate the molar mass of the unknown compound.

The molar mass of the unknown compound is 202.40 g/mol.

Explanation:

Let the molar mass of compound be M.

The depression in freezing point is given by:

where,

= change in boiling point  = 0.81 K

=Boiling point of the solution = 3.77°C

T = freezing point of the pure solvent here benzene =5.48°C

= freezing point constant  = 5.12°C/m

m = molality =

M = 202.40 g/mol

The molar mass of the unknown compound is 202.40 g/mol.

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