In: Chemistry
If ethanol and chloroform are present in a molar ratio of 2:3 then what is the vapor pressure at 20° C if vapor pressures of pure liquids are 5.95 kPa and 21.17 kPa, respectively?
Explanation :
Given :
P°e = 5.95 kPa
P°c = 21.17 kPa
Mole ratio of ethanol : chloroform : : 2 : 3
The mole fraction of ethanol, Xe = 2/5 = 0.4
Mole fraction of chloroform, Xc = 3/5 = 0.6
From Raoult’s law, P1 = P°1 × X1
Pe = 5.95 × 0.4 = 2.38 kPa
Pc = 21.17 × 0.6 = 12.702 kPa
From Dalton’s law, P (total) = Pe + Pc
P (total)= 2.38 + 12.702
= 15.082 kPa.
The total vapour pressure is 15.08 KPa.