Question
A 40-60 mixture of acetone (1) (x1 = 0.4) and water (2) is brought to a temperature of 150 ̊C and a pressure of 8.5 atm. At these conditions, a vapor and a liquid are in equilibrium with each other.
Assume that both the liquid and the vapor are nonideal. That means use activity coefficients for the liquid phase and fugacity coefficients for the vapor phase.
Use the Wilson equation for the activity coefficients and use the following constants for the activity coefficient equations.
V1 = 74.05 cc/mole
V2 = 18.07 cc/mole
a12 = 291.27 cal/mole
a21 = 1448.01 cal/mole
Use the following constants in the Antoines equation
A
B
C
Acetone
14.3145
2756.22
228.060
Water
16.3872
3885.70
230.170
These constants will provide the vapor pressure in kPa and need the temperature in oC.
The equation will be :
If you need any critical constants, use the following
Tc, K
Pc, bar
Zc
Vc, cc/mole
Acetone
0.307
508.2
47.01
0.233
209
Water
0.345
647.1
220.55
0.228
55.9
Since the vapor phase is also nonideal, you must calculate values for i.
Determine
1.) What is the bubble point pressure of the 40-60 mixture and the resulting vapor composition when T = 150 oC
2.) What is the dew point pressure of the 40-60 mixture and the resulting liquid composition when T = 150 oC
3.) The fraction of the original mixture that is vapor when T = 150 oC and the total pressure is 8.5 atm
4.) The composition of the vapor and the composition of the liquid in equilibrium with the vapor
5.) The liquid phase activity coefficients, i, at these conditions
6.) The values of i for each component in the gas phase at these conditions
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