(a)
According to Raoult’s law
$\frac{p - p_{s}}{p} = x_{solute}$
Where, p= vapour pressure of pure solvent =0.80 atm
$p_{s} =$ vapour pressure of solute =0.60 atm
$X_{solute} =$ mole fraction of solute
$\frac{0.80 - 0.60}{0.80} = X_{solute}$
or $\frac{0.20}{080} = X_{solute}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x_{solute} = 0.25$