What is the freezing point depression of a solution containing 1 mole of NaCl in

Practice Questions

Q1
What is the freezing point depression of a solution containing 1 mole of NaCl in 1 kg of water? (2022)
  1. 1.86 °C
  2. 3.72 °C
  3. 2.52 °C
  4. 0.93 °C

Questions & Step-by-Step Solutions

What is the freezing point depression of a solution containing 1 mole of NaCl in 1 kg of water? (2022)
  • Step 1: Identify the formula for freezing point depression, which is ΔTf = i * Kf * m.
  • Step 2: Determine the value of 'i' for NaCl. Since NaCl dissociates into 2 ions (Na+ and Cl-), i = 2.
  • Step 3: Find the value of Kf for water. The Kf for water is 1.86 °C kg/mol.
  • Step 4: Calculate the molality (m) of the solution. Since we have 1 mole of NaCl in 1 kg of water, m = 1 mol/kg.
  • Step 5: Plug the values into the formula: ΔTf = 2 * 1.86 * 1.
  • Step 6: Perform the multiplication: 2 * 1.86 = 3.72 °C.
  • Step 7: Conclude that the freezing point depression of the solution is 3.72 °C.
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