In: Chemistry
Calculate the vapor pressure of a solution containing 25.3 g of glycerin (C3H8O3) in 119 mL of water at 30.0 ∘C. The vapor pressure of pure water at this temperature is 31.8 torr. Assume that glycerin is not volatile and dissolves molecularly (i.e., it is not ionic) and use a density of 1.00 g/mL for the water.
molar mass of glycerine = 92
no of moles of glycerine = W/GMM
= 25.3/92 = 0.275moles
mass of water = volume * density
= 119*1 = 119g
no of moles of water = W/GMM
= 119/18 = 6.6moles
total no of mole = ngly + nwater
= 0.275 + 6.6 = 6.875
mole fraction of water Xwater = nwater/ ngly + nwater
= 6.6/6.875 = 0.96
pressure of solution = molefraction of water* pressure of water
= 0.96*31.8 = 30.528torr