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Find the osmotic pressure of 10 % (w/v) solution of sucrose at 27^ C . (Molar mass of sucrose = 342 g/mol)

Options

  1. A3.46 atm
  2. B5.87 atm
  3. C7.20 atm
  4. D8.79 atm

Correct answer

C. 7.20 atm

Step-by-step solution

Given concentration of sucrose = 10 % (w/v) This means 10 g of sucrose is present in 100 mL of solution. Mass of sucrose, W = 10 g Volume of solution, V = 100 mL = 0.1 L Molar mass of sucrose, M = 342 g/mol Temperature, T = 27^ C = 300 K Gas constant, R = 0.0821 L atm K ⁻¹ mol ⁻¹ Osmotic pressure, = CRT = n V RT = W M V RT = 10 342 0.1 0.0821 300 = 100 342 24.63 = 7.20 atm Answer: 7.20 atm

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