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Question: Answered & Verified by Expert
A 5.25% solution of a substance is isotonic with a 1.5% solution of urea ( molar mass = 60 g mol-1) in the same solvent. If the densities of both the solutions are assumed to be equal to 1.0 g cm-3, molar mass of the substance will be
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Options:
  • A 210 g mol-1
  • B 90.0 g mol-1
  • C 115.0 g mol -1
  • D 105.0 g mol -1
Solution:
2510 Upvotes Verified Answer
The correct answer is: 210 g mol-1
Isotonic solutions have same osmotic pressure.

π 1 = C 1 RT, π 2 = C 2 RT

For isotonic solution, π 1 = π 2  

π = 5 · 2 5 / M 1 0 0 × 1 0 RT = 1 · 5 / 6 0 1 0 0 × 1 0 RT

5 · 2 5 M = 1 · 5 6 0

M = 6 0 × 5 · 2 5 1 · 5 = 2 1 0  g / mole 

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