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Q.

Osmotic pressure of solution containing 0.6 g urea and 3.42 g sugar in 100 ml at 27°C

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a

492 atm

b

4.92 atm

c

49.2 atm

d

28.1 atm

answer is B.

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Detailed Solution

Step 1: Molar masses

  • Urea (NH2CONH2): 60 g·mol⁻¹
  • Sugar (Sucrose, C12H22O11): 342 g·mol⁻¹

Step 2: Moles of solute

  • Urea: n = 0.6 / 60 = 0.01 mol
  • Sugar: n = 3.42 / 342 = 0.01 mol
  • Total moles: 0.01 + 0.01 = 0.02 mol

Step 3: Molarity of solution

Volume = 100 mL = 0.1 L

C = n / V = 0.02 / 0.1 = 0.2 M

Step 4: Osmotic pressure formula

π = C R T

  • C = 0.2 mol·L⁻¹
  • R = 0.0821 L·atm·mol⁻¹·K⁻¹
  • T = 27 + 273 = 300 K

Step 5: Substitution

π = 0.2 × 0.0821 × 300

π = 4.9263 ≈ 4.92 atm

Final Answer:b) 4.92 atm

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