Calculate the mass of propylene glycol that must be added to 0.320g of water to reduce the vapor pressure by 2.87 torr at 40C (PH2O at 40C = 55.3 torr ).
we know that
P(solution)= molefraction of H2O X P (pure water )-------eq1
now P(solution)= 55.3 torr - 2.87 torr
P (pure water ) = 55.3 tor
Calculate mole fraction of H2O from eq1
Now mole fraction H2O = nH2O/ (nH2O + n propyleneglycol) ---------eq2
nH2O = mass of water / molar mass = 0.320 / 18
plug in all known values in eq 2 to get the mole of propylene glycol
mass of propylene glycol = moles X molar mass of propylene glycol