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The vapour pressure of pure water is 760mm at 25degree Celsius. The vapour pressure of solution containing 1 molal solution of glucose will be (1)761.0mm (2)746.5mm?
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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.
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The vapour pressure of pure water is 760mm at 25degree Celsius. The vapour pressure of solution containing 1 molal solution of glucose will be (1)761.0mm (2)746.5mm?
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