High School

The vapor pressure of a solvent at 283K is 100 mm Hg. Calculate the vapor pressure of a dilute solution containing 1 mole of a strong electrolyte AB in 50 moles of the solvent.

A. 95.5 mm Hg
B. 97.5 mm Hg
C. 98.5 mm Hg
D. 99.5 mm Hg

Answer :

Use Raoult's Law to calculate the vapor pressure of the dilute solution containing 1 mole of AB in 50 moles of the solvent.

To calculate the vapor pressure of the dilute solution, we can use Raoult's Law which states that the vapor pressure of a solution is proportional to the mole fraction of the solvent.

Calculate the mole fraction of the solvent:

Moles of solvent = 50 moles,

So, the mole fraction of the solvent = 50 / (50 + 1) = 50 / 51.

Calculate the vapor pressure of the solution:

Vapor pressure = 100 mmHg * (50 / 51) ≈ 98.5 mmHg.

Hence, the correct option is (c).