Lee–Kesler method
The Lee–Kesler method [1] allows the estimation of the saturated vapor pressure at a given temperature for all components for which the critical pressure Pc, the critical temperature Tc, and the acentric factor ω are known.
Equations
with
- (reduced pressure) and (reduced temperature).
Typical errors
The prediction error can be up to 10% for polar components and small pressures and the calculated pressure is typically too low. For pressures above 1 bar, that means, above the normal boiling point, the typical errors are below 2%. [2]
Example calculation
For benzene with
- Tc = 562.12 K[3]
- Pc = 4898 kPa[3]
- Tb = 353.15 K[4]
- ω = 0.2120[5]
the following calculation for T = Tb results:
- Tr = 353.15 / 562.12 = 0.628247
- f(0) = −3.167428
- f(1) = −3.429560
- Pr = exp( f(0) + ω f(1) ) = 0.020354
- P = Pr · Pc = 99.69 kPa
The correct result would be P = 101.325 kPa, the normal (atmospheric) pressure. The deviation is −1.63 kPa or −1.61 %.
It is important to use the same absolute units for T and Tc as well as for P and Pc. The unit system used (K or R for T) is irrelevant because of the usage of the reduced values Tr and Pr.
See also
- Vapour pressure of water
- Antoine equation
- Tetens equation
- Arden Buck equation
- Goff–Gratch equation
References
- ^ Lee B.I., Kesler M.G., "A Generalized Thermodynamic Correlation Based on Three-Parameter Corresponding States", AIChE J., 21(3), 510–527, 1975
- ^ Reid R.C., Prausnitz J.M., Poling B.E., "The Properties of Gases & Liquids", 4. Auflage, McGraw-Hill, 1988
- ^ a b Brunner E., Thies M.C., Schneider G.M., J.Supercrit. Fluids, 39(2), 160–173, 2006
- ^ Silva L.M.C., Mattedi S., Gonzalez-Olmos R., Iglesias M., J. Chem. Thermodyn., 38(12), 1725–1736, 2006
- ^ Dortmund Data Bank