If the mole fraction of a solvent in a solution is 0.75, what is the vapor pressure of the solvent if its pure vapor pressure is 100 mmHg?

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Q: If the mole fraction of a solvent in a solution is 0.75, what is the vapor pressure of the solvent if its pure vapor pressure is 100 mmHg?

Solution: According to Raoult's Law, the vapor pressure of the solvent in the solution is 0.75 * 100 mmHg = 75 mmHg.

Steps: 6

Step 1: Understand that the mole fraction of the solvent is given as 0.75.
Step 2: Know that the pure vapor pressure of the solvent is 100 mmHg.
Step 3: Use Raoult's Law, which states that the vapor pressure of the solvent in a solution is equal to the mole fraction of the solvent multiplied by its pure vapor pressure.
Step 4: Calculate the vapor pressure of the solvent in the solution by multiplying the mole fraction (0.75) by the pure vapor pressure (100 mmHg).
Step 5: Perform the calculation: 0.75 * 100 mmHg = 75 mmHg.
Step 6: Conclude that the vapor pressure of the solvent in the solution is 75 mmHg.