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If molality of the dilute solutions is doubled, the valueof molal depression constant (Kf) will be :-
  • a)
    halved
  • b)
    tripled
  • c)
    unchanged
  • d)
    doubled
Correct answer is option 'C'. Can you explain this answer?
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Molality and Molal Depression Constant (Kf)

Molality is a measure of the concentration of a solute in a solution, expressed in moles of solute per kilogram of solvent. It is denoted by the symbol 'm'. On the other hand, the molal depression constant (Kf) is a characteristic property of a solvent and is defined as the depression in freezing point per mole of solute per kilogram of solvent.

Effect of Doubling Molality on Molal Depression Constant (Kf)

When the molality of a dilute solution is doubled, it means that the concentration of the solute has increased. This increase in concentration does not affect the molal depression constant (Kf). The value of Kf remains constant regardless of the concentration of the solute. Therefore, the correct answer is option 'C' - unchanged.

Explanation:

1. Definition of Molal Depression Constant (Kf):
- Kf is a constant that relates the depression in freezing point to the molality of a solution.
- It is a characteristic property of a solvent and depends on the nature of the solvent.
- It is expressed in units of degree Celsius per molality.

2. Molality and its Effect on Kf:
- Molality is calculated by dividing the moles of solute by the mass of the solvent in kilograms.
- It is a measure of the concentration of the solute in the solution.
- Doubling the molality means doubling the number of moles of solute per kilogram of solvent.
- However, this increase in concentration does not affect the molal depression constant (Kf).

3. Constant Nature of Kf:
- The molal depression constant (Kf) is a characteristic property of a solvent.
- It depends on the nature of the solvent and remains constant for a particular solvent at a given temperature.
- It is independent of the concentration of the solute in the solution.
- Therefore, regardless of the increase or decrease in the molality of the solution, the value of Kf remains the same.

Conclusion:
The molal depression constant (Kf) remains unchanged when the molality of a dilute solution is doubled. This is because Kf is a characteristic property of the solvent and is independent of the concentration of the solute in the solution.
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If molality of the dilute solutions is doubled, the valueof molal depression constant (Kf) will be :-a)halvedb)tripledc)unchangedd)doubledCorrect answer is option 'C'. Can you explain this answer?
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