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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A 0.1 M aqueous solution of BaCl ₂ is isotonic with a 0.3 M aqueous solution of glucose at the same temperature (assuming complete dissociation of BaCl ₂ ). Reason (R): For any two isotonic solutions, their molar concentrations must always be equal. In the light of the above statements, choose the

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

C. (A) is correct but (R) is not correct

Step-by-step solution

Isotonic solutions are those which have the same osmotic pressure at a given temperature. Osmotic pressure ( ) is given by = iCRT . For 0.1 M BaCl ₂ (assuming complete dissociation), i = 3 . ₁ = 3 0.1 RT = 0.3 RT For 0.3 M glucose (a non-electrolyte), i = 1 . ₂ = 1 0.3 RT = 0.3 RT Since ₁ = ₂ , the two solutions are indeed isotonic. Thus, Assertion (A) is correct. For two solutions to be isotonic, their effective particle concentrations ( i C ) must be equal. Their molar concentrations ( C ) do not need to be equal

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