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Question: Calculate the relative lowering of vapour pressure if vapour pressure of pure solvent and vapour pre...

Calculate the relative lowering of vapour pressure if vapour pressure of pure solvent and vapour pressure of solution at 25°C are 32 and 30 mm Hg respectively.

A

0.0721

B

0.0552

C

0.0625

D

0.9375

Answer

0.0625

Explanation

Solution

The relative lowering of vapour pressure is given by Raoult's Law:

Relative Lowering=P0PP0\text{Relative Lowering} = \frac{P^0 - P}{P^0}

Where:

  • P0P^0 is the vapor pressure of the pure solvent
  • PP is the vapor pressure of the solution

Given:

  • P0=32mm HgP^0 = 32 \, \text{mm Hg}
  • P=30mm HgP = 30 \, \text{mm Hg}

Substitute the values:

Relative Lowering=323032=232=0.0625\text{Relative Lowering} = \frac{32 - 30}{32} = \frac{2}{32} = 0.0625