If the vapor pressure of a pure solvent is 80 mmHg and a non-volatile solute is

Practice Questions

Q1
If the vapor pressure of a pure solvent is 80 mmHg and a non-volatile solute is added, resulting in a vapor pressure of 60 mmHg, what is the mole fraction of the solvent in the solution?
  1. 0.75
  2. 0.50
  3. 0.25
  4. 0.80

Questions & Step-by-Step Solutions

If the vapor pressure of a pure solvent is 80 mmHg and a non-volatile solute is added, resulting in a vapor pressure of 60 mmHg, what is the mole fraction of the solvent in the solution?
  • Step 1: Understand that the vapor pressure of a pure solvent is given as 80 mmHg.
  • Step 2: Recognize that when a non-volatile solute is added, the vapor pressure decreases to 60 mmHg.
  • Step 3: Recall Raoult's Law, which states that the vapor pressure of the solution (P_solution) is equal to the mole fraction of the solvent (X_solvent) multiplied by the vapor pressure of the pure solvent (P_pure_solvent).
  • Step 4: Write the equation from Raoult's Law: P_solution = X_solvent * P_pure_solvent.
  • Step 5: Substitute the known values into the equation: 60 mmHg = X_solvent * 80 mmHg.
  • Step 6: To find X_solvent, rearrange the equation: X_solvent = 60 mmHg / 80 mmHg.
  • Step 7: Calculate the value: X_solvent = 0.75.
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