If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the

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Question: If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the solution is 80 mmHg, what is the mole fraction of the solute? (2022)

Options:

Correct Answer: 0.4

Exam Year: 2022

Solution:

Using Raoult\'s Law: P_solution = X_solvent * P_solvent. X_solvent = P_solution / P_solvent = 80/100 = 0.8, thus X_solute = 1 - X_solvent = 0.2.

If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the

Practice Questions

If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the solution is 80 mmHg, what is the mole fraction of the solute? (2022)

Questions & Step-by-Step Solutions

If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the solution is 80 mmHg, what is the mole fraction of the solute? (2022)

Step 1: Understand that the vapor pressure of a pure solvent is given as 100 mmHg.
Step 2: Note that the vapor pressure of the solution is given as 80 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_solvent).
Step 4: Use the formula from Raoult's Law: P_solution = X_solvent * P_solvent.
Step 5: Rearrange the formula to find the mole fraction of the solvent: X_solvent = P_solution / P_solvent.
Step 6: Substitute the values into the formula: X_solvent = 80 mmHg / 100 mmHg.
Step 7: Calculate X_solvent: X_solvent = 0.8.
Step 8: Find the mole fraction of the solute (X_solute) by using the formula: X_solute = 1 - X_solvent.
Step 9: Substitute the value of X_solvent: X_solute = 1 - 0.8.
Step 10: Calculate X_solute: X_solute = 0.2.

Raoult's Law – Raoult's Law states that the vapor pressure of a solvent in a solution is equal to the vapor pressure of the pure solvent multiplied by the mole fraction of the solvent in the solution.
Mole Fraction Calculation – The mole fraction of a component in a solution is calculated as the ratio of the number of moles of that component to the total number of moles of all components in the solution.

If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the

What’s inside this PDF?

If the vapor pressure of pure solvent is 100 mmHg, and the vapor pressure of the

Practice Questions

Questions & Step-by-Step Solutions

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