Question:

Match List I and List II
List II List II 
A. van't Hoff factor, i I. Cryoscopic constant
B. $k_f$ II. Isotonic solutions 
C. Solution with same  with same osmotic pressure III.  Normal molar mass /Abnormal molar mass 
D. AzeotropesIV. Solutions with same composition of  vapour above it 
Choose the correct answer from the options given below :

Updated On: Mar 20, 2025
  • A-I, B-III, C-II, D-IV
  • A-III, B-I, C-IV, D-II
  • A-III, B-I, C-II, D-IV
  • A-III, B-II, C-I, D-IV
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The Correct Option is C

Solution and Explanation

- \(i\) (van’t Hoff factor) is associated with the abnormal molar mass (\(M_{\text{ab}}\)), making A-III correct.
- \(k_f\) (cryoscopic constant) relates to the depression of freezing point, making B-I correct.
- Solutions with the same osmotic pressure are isotonic solutions, making C-II correct.
- Azeotropes are solutions with the same composition in both the liquid and vapour phases, making D-IV correct.
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Concepts Used:

Colligative Properties

Colligative Property of any substance is entirely dependent on the ratio of the number of solute particles to the total number of solvent particles but does not depend on the nature of particles. There are four colligative properties: vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.

Examples of Colligative Properties

We can notice the colligative properties of arrangements by going through the accompanying examples:

  • On the off chance that we add a spot of salt to a glass full of water, its freezing temperature is brought down impressively than its normal temperature. On the other hand, the boiling temperature is likewise increased and the arrangement will have a lower vapor pressure. There are also changes observed in its osmotic pressure.
  • In the same way, if we add alcohol to water, the solution’s freezing point goes down below the normal temperature that is usually observed for either pure alcohol or water.

Types of Colligative Properties

  1. Freezing point depression: ΔTf =1000 x kf x m2 /(M2 x m1)
  2. Boiling point elevation: ΔTb = kb m
  3. Osmotic pressure: π = (n2/V) RT
  4. Relative lowering of vapor pressure: (Po - Ps)/Po