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90daytona 90daytona
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6 years ago
A beaker filled with an equimolar liquid mixture of ethyl alcohol and ethyl  acetate evaporates ast 0oC into still air at 101kPa total pressure. Assuming Raoul's law apples, what will be the composition of the liquid remaining when half of the original ethyl alcohol has evaporated, assuming that each component evaporates independently of each other? Also assume that the liquid is always well mixed. The following data are available:

Vapor pressure (kPa @ 0oC)
Ethyl acetate (B) = 3.23; Ethyl alcohol (A) = 1.62

Diffusivity (m2/s):
Ethyl acetate (B) in Air (C)= DBC= 6.45 x 10-6;    Ethyl alcohol (A) in Air (C) = DAC = 9.29 x 10-6

Assume ethyl alcohol (A);  Ethyl acetate (B); and Air (C)


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Staff Member
2 years ago
s we know the Raoult's law states that : For an ideal solution, the equilibrium partial pressure pA of a constituent at a fixed temperature equals the product of its vapor pressure PA and its mole fraction in the liquid XA. Let A as Ethyl alcohal an

Raolt' s law
Pp = partial pressure = Pv *x here
Pp = partial pressure and
Pv = vapour pressure
x = mole fraction of the fluid no of moles of liquid ethyl alcohol =0.5 no of moles of liquid

ethyl acetate =0.5 temperature of liquid mixture = 0 oc ( T =273 ok ) and P = 1 atm = 101 Kpa Pp = Pv.* x= 3,23 *0.5 =1.615 kpa ( for ethyl acetate)
Pp = Pv*x =1.62 *0.5 =0.81 kpa ( for ethyl alcohal )
Pt = Pp + Pp = 1.615 +0.81 = 2.425 kpa molecular
wt of ethyl alcohol = C2H5OH = 12*2 +6*1 +16*1 =24 +6 +16 =46 kg /kmol molecular wt of ethyl acetate = C2H5C00CH3=4*12 +2*16 +8*1 =48 +32+8 =88 kg/kmol mass of ethyl acetate = 88 *0.5 = 44 kg mass of ethyl alcohal = 46 *0.5 = 23 kg now, y1 = mol fraction of vapour of ethyl acetate here Pt =101 kpa y1 *Pt = Pp .x1 y1 = 3.23*0.5 /101 =0.015 y2 = mole fraction of ethyl alcohall
y2*Pt =Pp* x= y2 =Pp*x/Pt= 1.62 *0.5/ 101 y2 =0.008 by ideal gas law- P.V =n.R.T N =n = P.V/R.T N = 1*22.4.
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