A liq mixture of benzene-toluene is to be distilled in a fractionating tower at 101.3 kPa pressure. The feed of 100 kg mol/h is liq and it contains 45 mole % benzene and 55 mole % toluene and enters at 327.6 K (130 ^{◦}F). A distillate containing 95 mole % benzene and 5 mole % toluene and a bottoms containing 10 mole % benzene and 90 mole % toluene are to be obtained. The reflux ratio is 4:1. The average heat capacity of the feed is 159 kJ/ kg mol – K and the average latent heat 32099 kJ/ kg mol. Calculate the kg moles per hour distillate, the kg moles per hour bottoms and the number of theoretical trays needed. The equilibrium and the vapor - pressure data are given below for the system benzene-toluene.
Make a list of all the important assumptions you are making in your calculations.
Note: All plots must be done either by using Excel or on a graph paper.
Mole % Benzene at 101.325 kPa
x y
1.000 1.000
0.780 0.900
0.581 0.777
0.411 0.632
0.258 0.456
0.130 0.261
0 0
Vapor Pressure
Benzene Toluene
T(K) |
T (°C) |
kPa |
mm Hg |
kPa |
Mm Hg |
353 |
80.1 |
101.3 |
760 |
||
358 |
85 |
116.9 |
877 |
46.0 |
345 |
363 |
90 |
135.5 |
1016 |
54.0 |
405 |
368 |
95 |
155.7 |
1168 |
63.3 |
475 |
373 378 |
100 105 |
179.2 204.2 |
1344 1532 |
74.3 86.0 |
557 645 |
using Mcabe theile assumptiona and saturated liquid feed we can find the equation for enriching and stripping section and mass balance to find molar flowrates
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