Question:
Which of the following concentrations of solutions of urea in water exhibits minimum freezing point depression?
Which of the following concentrations of solutions of urea in water exhibits minimum freezing point depression?
Show Hint
Freezing point depression is proportional to molality, so pick the lowest molality.
Updated On: Oct 1, 2026
- \(0.12\) m
- \(0.18\) m
- \(0.08\) m
- \(0.06\) m
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
Depression in freezing point is a colligative property. It depends on the number of solute particles per kg of solvent, not on what the solute is.
Step 2: Key Formula or Approach
\[ \Delta T_f = i\,K_f\,m \]
Urea does not ionise, so \(i = 1\) for every solution, and the water is the same, so \(K_f\) is fixed.
Step 3: Detailed Explanation
Then \(\Delta T_f \propto m\).
The molalities are 0.12, 0.18, 0.08 and 0.06 m. The smallest is 0.06 m.
So the 0.06 m solution has the smallest depression, \(\Delta T_f = 1.86\times0.06 = 0.11\) K, and its freezing point is closest to that of pure water.
Final Answer:
The 0.06 m solution shows the minimum depression, option (D). \[ \boxed{0.06\ \text{m (D)}} \]
Depression in freezing point is a colligative property. It depends on the number of solute particles per kg of solvent, not on what the solute is.
Step 2: Key Formula or Approach
\[ \Delta T_f = i\,K_f\,m \]
Urea does not ionise, so \(i = 1\) for every solution, and the water is the same, so \(K_f\) is fixed.
Step 3: Detailed Explanation
Then \(\Delta T_f \propto m\).
The molalities are 0.12, 0.18, 0.08 and 0.06 m. The smallest is 0.06 m.
So the 0.06 m solution has the smallest depression, \(\Delta T_f = 1.86\times0.06 = 0.11\) K, and its freezing point is closest to that of pure water.
Final Answer:
The 0.06 m solution shows the minimum depression, option (D). \[ \boxed{0.06\ \text{m (D)}} \]
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