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NEET CHEMISTRYSolutionsEasy

Question

Of the following 0.10 m0.10 \text{ m} aqueous solutions, which one will exhibit the largest freezing point depression?

A

KCl\text{KCl}

B

C6H12O6\text{C}_6\text{H}_{12}\text{O}_6

C

Al2(SO4)3\text{Al}_2(\text{SO}_4)_3

D

K2SO4\text{K}_2\text{SO}_4

Step-by-Step Solution

Depression in freezing point is a colligative property, which depends on the number of solute particles present in the solution. For solutions of the same molality, the depression in freezing point is directly proportional to the van't Hoff factor (ii), since ΔTf=i×Kf×m\Delta T_f = i \times K_f \times m. Assuming complete dissociation for strong electrolytes, the van't Hoff factors are:

  1. KCl⇌K++Cl−\text{KCl} \rightleftharpoons \text{K}^+ + \text{Cl}^- (i=2i = 2)
  2. C6H12O6\text{C}_6\text{H}_{12}\text{O}_6 (Glucose is a non-electrolyte, so i=1i = 1)
  3. Al2(SO4)3⇌2Al3++3SO42−\text{Al}_2(\text{SO}_4)_3 \rightleftharpoons 2\text{Al}^{3+} + 3\text{SO}_4^{2-} (i=5i = 5)
  4. K2SO4⇌2K++SO42−\text{K}_2\text{SO}_4 \rightleftharpoons 2\text{K}^+ + \text{SO}_4^{2-} (i=3i = 3)

Since Al2(SO4)3\text{Al}_2(\text{SO}_4)_3 yields the maximum number of particles in solution (i=5i=5), it will exhibit the largest freezing point depression.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Solutions. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYSolutionsfollowingaqueoussolutionsexhibitlargest

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