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Which of the following aqueous solutions exhibits maximum freezing point depression assuming complete dissociation?

Options

  1. A0.1 m Li ₂ SO ₄ .
  2. B0.5 m KCl.
  3. C0.05 m Al ₂( SO ₄)₂ .
  4. D0.2 m BaCl ₂ .

Correct answer

B. 0.5 m KCl.

Step-by-step solution

The depression in freezing point is given by T_f = i K_f m . Since K_f is constant for aqueous solutions, T_f i m . For 0.1 m Li ₂ SO ₄ , i = 3 , i m = 3 0.1 = 0.3 For 0.5 m KCl, i = 2 , i m = 2 0.5 = 1.0 For 0.05 m Al ₂( SO ₄)₃ , i = 5 , i m = 5 0.05 = 0.25 For 0.2 m BaCl ₂ , i = 3 , i m = 3 0.2 = 0.6 The maximum value of i m is 1.0 for 0.5 m KCl, which will exhibit the maximum freezing point depression. Answer: 0.5 m KCl.

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