Thermodynamics
T-x-y Diagram of Ideal Solution
From the following vapor pressure data, construct the temperature - composition diagram at 1 atm, for the system benzene-toluene, assuming ideal solution behavior.
Temperature ^{o}C | Vapor pressure, mm Hg | |
Benzene |
Toluene | |
80 |
760 |
300 |
92 |
1078 |
432 |
100 |
1344 |
559 |
110.4 |
1748 |
760 |
Calculations:
Mole fraction in liquid phase (x) is given by,
x = (p_{t} - p_{B})/(p_{A} - p_{B})
The corresponding equilibrium mole fraction in vapor phase (y) is,
y = p_{A}x/p_{t}
Using these equations, for the various temperatures given, the following data for x and y are obtained, for the total pressure of 1 atm
T | x | y |
80 | 1.000 | 1.000 |
92 | 0.508 | 0.720 |
100 | 0.256 | 0.453 |
110.4 | 0.000 | 0.000 |
From the above-calculated data, the following T-x-y diagram is drawn.