The vapour pressure of pure water is 760mm at 25degree Celsius. The va...
Introduction
The vapour pressure of a solution is lower than that of the pure solvent. This is due to the presence of solute particles in the solution.
Determination of Vapour Pressure
The vapour pressure of a solution can be determined using Raoult's law which states that the vapour pressure of a solution is equal to the product of the mole fraction of the solvent and the vapour pressure of the pure solvent.
Calculation
Here, we have a 1 molal solution of glucose. This means that 1 mole of glucose is dissolved in 1000 g of water. The mole fraction of glucose in the solution is therefore:
Mole fraction of glucose = 1/ (1 + 18) = 0.0526
The mole fraction of water is:
Mole fraction of water = 18/ (1 + 18) = 0.9474
The vapour pressure of pure water at 25 degrees Celsius is 760 mmHg.
Therefore, using Raoult's law, the vapour pressure of the solution containing 1 molal solution of glucose will be:
Vapour pressure = Mole fraction of water x Vapour pressure of pure water
Vapour pressure = 0.9474 x 760 mmHg
Vapour pressure = 720.9 mmHg
Therefore, option (2) 746.5 mmHg is incorrect.
Conclusion
The correct answer is option (1) 761.0 mmHg.