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JEE Main2007ChemistryStates of MatterActual

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

Options

  1. A90.0 ~g ~mol ⁻¹
  2. B115.0 ~g ~mol ⁻¹
  3. C105.0 ~g ~mol ⁻¹
  4. D210.0 ~g ~mol ⁻¹

Correct answer

D. 210.0 ~g ~mol ⁻¹

Step-by-step solution

Solutions with the same osmotic pressure are isotonic Let the molar mass of the substance be M ₁= C ₁ RT = C ₂ RT = ₂ So, C ₁= C ₂ As density of the solutions are same So 5.25 M = 15 60 M= 5.25 60 1.5 =210 Hence (D) is correct

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