The relationship between osmotic pressure at 273 K when 10 g glucose (π_1), 10 g urea (π_2) and 10 g — Solutions and Colligative Properties Chemistry Question
Question
The relationship between osmotic pressure at 273 K when 10 g glucose (π_1), 10 g urea (π_2) and 10 g sucrose (π_3) are dissolved in 250 ml of water, is
💡 Solution & Explanation
Osmotic pressure is a colligative property and is directly ∝ molar concentration (and therefore to the number of moles of solute for a constant volume). Moles of solute = mass / molar mass. Given mass is 10 g for all. Molar masses: Urea = 60 g/mol, Glucose = 180 g/mol, Sucrose = 342 g/mol. Since Urea has the lowest molar mass, it has the largest number of moles, followed by glucose, and then sucrose. Thus, concentration order: Urea > Glucose > Sucrose, which yields π_2 > π_1 > π_3.