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If the freezing point of a solution is -5°C, what is the molality of the solutio

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Question: If the freezing point of a solution is -5°C, what is the molality of the solution if the freezing point depression constant (Kf) is 1.86°C kg/mol? (2022)

Options:

  1. 1.34 m
  2. 2.68 m
  3. 0.5 m
  4. 3.72 m

Correct Answer: 2.68 m

Exam Year: 2022

Solution: 

ΔTf = Kf * m; -5 = -1.86 * m; m = 5 / 1.86 = 2.68 m.

If the freezing point of a solution is -5°C, what is the molality of the solutio

Practice Questions

Q1
If the freezing point of a solution is -5°C, what is the molality of the solution if the freezing point depression constant (Kf) is 1.86°C kg/mol? (2022)
  1. 1.34 m
  2. 2.68 m
  3. 0.5 m
  4. 3.72 m

Questions & Step-by-Step Solutions

If the freezing point of a solution is -5°C, what is the molality of the solution if the freezing point depression constant (Kf) is 1.86°C kg/mol? (2022)
  • Step 1: Understand the formula for freezing point depression, which is ΔTf = Kf * m.
  • Step 2: Identify the values given in the problem. The freezing point depression (ΔTf) is -5°C and the freezing point depression constant (Kf) is 1.86°C kg/mol.
  • Step 3: Substitute the values into the formula. We have -5 = -1.86 * m.
  • Step 4: To find m (molality), rearrange the equation. This means we need to divide both sides by -1.86.
  • Step 5: Calculate m by dividing 5 by 1.86. So, m = 5 / 1.86.
  • Step 6: Perform the calculation to find the value of m, which is approximately 2.68 m.
  • Freezing Point Depression – The decrease in the freezing point of a solvent when a solute is added, which is directly proportional to the molality of the solution.
  • Molality Calculation – The calculation of molality (m) using the formula ΔTf = Kf * m, where ΔTf is the change in freezing point.
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