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

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Question: 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?

Options:

0.75
0.50
0.25
0.80

Correct Answer: 0.75

Solution:

Using Raoult\'s Law, P_solution = X_solvent * P_pure_solvent; 60 mmHg = X_solvent * 80 mmHg; X_solvent = 60/80 = 0.75.

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

Practice Questions

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?

0.75
0.50
0.25
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.

Raoult's Law – Raoult's Law states that the vapor pressure of a solvent in a solution is equal to the mole fraction of the solvent multiplied by the vapor pressure of the pure solvent.
Mole Fraction – Mole fraction is the ratio of the number of moles of a component to the total number of moles of all components in the solution.
Vapor Pressure Lowering – The addition of a non-volatile solute lowers the vapor pressure of the solvent, which is a key concept in colligative properties.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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