According toRaoult's law, the vapor pressure (p) in a solution with a non-volatile solute is equal to the product of mole fraction of solvent (x1) and vapor pressure of the solvent (p1).
Therefore,
p= p1*x1
Now,
Given:
Vapour pressure of Water (p1): 23.8mmHg
Mole fraction of sugar (x2) = 0.2
Hence,
Mole Fraction of Water (x1) = 1-x2 = 1-0.2= 0.8.
Thus,
p = p1*x1
p= 23.8*0.8
p= 19.04
Hence, the vapor pressure of the aqueous solution is 19.04 mm Hg.