What is the vapor pressure of a solution containing 1 mole of solute in 3 moles

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Question: What is the vapor pressure of a solution containing 1 mole of solute in 3 moles of solvent, assuming ideal behavior?

Options:

Correct Answer: 0.75 P0

Solution:

Using Raoult\'s law, the vapor pressure of the solution = (moles of solvent / total moles) * P0 = (3 / (3 + 1)) * P0 = 0.75 P0.

What is the vapor pressure of a solution containing 1 mole of solute in 3 moles of solvent, assuming ideal behavior?

What is the vapor pressure of a solution containing 1 mole of solute in 3 moles of solvent, assuming ideal behavior?

Correct Answer: 0.75 P0

Step 1: Identify the number of moles of solute and solvent. Here, we have 1 mole of solute and 3 moles of solvent.
Step 2: Calculate the total number of moles in the solution. Total moles = moles of solute + moles of solvent = 1 + 3 = 4 moles.
Step 3: Use Raoult's law to find the vapor pressure of the solution. Raoult's law states that the vapor pressure of the solution is equal to the mole fraction of the solvent multiplied by the vapor pressure of the pure solvent (P0).
Step 4: Calculate the mole fraction of the solvent. Mole fraction of solvent = moles of solvent / total moles = 3 / 4.
Step 5: Substitute the mole fraction into Raoult's law. Vapor pressure of the solution = (moles of solvent / total moles) * P0 = (3 / 4) * P0.
Step 6: Simplify the expression. Vapor pressure of the solution = 0.75 * P0.

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