Complete Theory

Worked Examples

Example 1Boiling point elevation

Example 2Osmotic pressure

Exercise 1Freezing point depressionMedium

📋 Problem to solve

Calculate the freezing point of a solution containing 10.0 g of NaCl (

M=58.44

g/mol) in 200 g of water.

K_f = 1.86

°C·kg/mol.

📌 Given data

10.0 g NaCl in 200 g water

K_f = 1.86

°C·kg/mol

Exercise 2Molar mass from cryoscopyMedium

📋 Problem to solve

A 2.00 g sample of a non-electrolyte dissolved in 100 g water lowers the freezing point by 0.372°C. Find the molar mass (

K_f = 1.86

📌 Given data

\Delta T_f = 0.372

°Cm_solute = 2.00 gm_solvent = 0.100 kg

K_f = 1.86

°C·kg/mol

Exercise 3Osmotic pressureHard

📋 Problem to solve

A 0.50 L solution contains 9.0 g of an unknown protein. The osmotic pressure is 0.024 atm at 298 K. Calculate the molar mass.

📌 Given data

V = 0.50 Lm = 9.0 g

\Pi = 0.024

atmT = 298 KR = 0.0821 L·atm·mol⁻¹·K⁻¹

📚

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