If the vapor pressure of pure solvent A is 100 mmHg, what is the vapor pressure

If the vapor pressure of pure solvent A is 100 mmHg, what is the vapor pressure of a solution containing 0.5 mole fraction of A?

If the vapor pressure of pure solvent A is 100 mmHg, what is the vapor pressure of a solution containing 0.5 mole fraction of A?

Step 1: Understand that vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid at a given temperature.
Step 2: Know that Raoult's Law states that the vapor pressure of a solution is equal to the mole fraction of the solvent multiplied by the vapor pressure of the pure solvent.
Step 3: Identify the given values: the vapor pressure of pure solvent A is 100 mmHg and the mole fraction of A in the solution is 0.5.
Step 4: Use Raoult's Law formula: Vapor Pressure of Solution = Mole Fraction of A * Vapor Pressure of Pure A.
Step 5: Substitute the values into the formula: Vapor Pressure of Solution = 0.5 * 100 mmHg.
Step 6: Calculate the result: 0.5 * 100 mmHg = 50 mmHg.
Step 7: Conclude that the vapor pressure of the solution is 50 mmHg.

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