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At room temperature, the mole fraction of a solute is 0.25 and the vapour pressure of pure solvent is 0.80 atm. The vapour pressure (in atm) is lowered by
(Round off up to 1 decimal place)
Correct answer is '0.2'. Can you explain this answer?
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Understanding the Problem
To determine the lowering of vapor pressure due to a solute, we apply Raoult’s Law. This law states that the vapor pressure of a solvent in a solution is directly proportional to the mole fraction of the solvent.
Given Data
- Mole fraction of solute (Xsolute) = 0.25
- Mole fraction of solvent (Xsolvent) = 1 - Xsolute = 1 - 0.25 = 0.75
- Vapor pressure of pure solvent (P°solvent) = 0.80 atm
Applying Raoult’s Law
According to Raoult’s Law:
Psolution = Xsolvent * P°solvent
Where:
- Psolution = vapor pressure of the solution
- Xsolvent = mole fraction of the solvent
- P°solvent = vapor pressure of pure solvent
Calculating Vapor Pressure of the Solution
- Psolution = 0.75 * 0.80 atm
Calculating this gives:
Psolution = 0.60 atm
Calculating the Change in Vapor Pressure
To find the lowering of vapor pressure:
Lowering = P°solvent - Psolution
Substituting the values:
Lowering = 0.80 atm - 0.60 atm = 0.20 atm
Final Answer
The vapor pressure is lowered by 0.2 atm when rounding to one decimal place. This demonstrates the effect of solute on the vapor pressure of a solvent, confirming the application of Raoult’s Law effectively.
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At room temperature, the mole fraction of a solute is 0.25 and the vapour pressure of pure solvent is 0.80 atm. The vapour pressure (in atm) is lowered by(Round off up to 1 decimal place)Correct answer is '0.2'. Can you explain this answer?
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