Consider a binary mixture of species 1 and 2 at 300 K and 1 bar. The vapor press

Question

Consider a binary mixture of species 1 and 2 at 300 K and 1 bar. The vapor pressure of pure 1 at 300 K is 80kPa. A plot of the activity coefficient of species 1 as a function of composition is shown is below. a) If the system is represented by the two-suffix Margules equation, i.e., G^ex/RT = Ax_1x_2 determine the value of A. b) Consider a liquid mixture of 2 moles of species 1 and 3 moles of species 2 at 300K and 1 bar. What is the equilibrium mole fraction of species 1 in the vapor phase? c) For the liquid mixture given in part (b), determine gamma_2.

Explanation / Answer

a) ln Y1 = Ax22 at x1= 0.2 x2=0.8

y1=1.75

ln 1.75 = A 0.82

0.55961/0.64 = 0.8744 = A

b)

equilibrium mole fraction of species 1 in liquid mixture = 2/5= 0.4

equilibrium mole fraction of species 2 in liquid mixture =3/5= 0.6

vapour pressure of 1 = (0.4*80) = 32 kpa=( 1*10^5 ) * (equilibrium mole fraction of species 1 in vapour phase)

0.32=equilibrium mole fraction of species 1 in vapour phase

c)

ln y2 = Ax12

ln y2 = 0.8744 * 0.42

y2 = 1.150

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