Projected area

The Lee-Kesler method allows the estimation of the saturated vapor pressure at a given temperature for all components for which the critical pressure P_c, the critical temperature T_c, and the acentric factor ω are known.

Equations

$\ln P_r=f^{(0)}+\omega \cdot f^{(1)}$

$f^{(0)}=5.92714-\frac{6.09648}{T_r}-1.28862\cdot \ln T_r+0.169347\cdot T_r^6$

$f^{(1)}=15.2518-\frac{15.6875}{T_r}-13.4721\cdot \ln T_r+0.43577\cdot T_r^6$

with

$P_r=\frac{P}{P_c}$ (reduced pressure) und $T_r=\frac{T}{T_c}$ (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%.

Example calculation

For benzene with

• T_c = 562.12 K
• P_c = 4898 kPa
• T_b = 353.15 K
• ω = 0.2120

the following calculation for T=T_b results:

• T_r = 353.15 / 562.12 = 0.628247
• f⁽⁰⁾ = -3.167428
• f⁽¹⁾ = -3.429560
• P_r = exp( f⁽⁰⁾ + ω f⁽¹⁾ ) = 0.020354
• P = P_r * P_c = 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 T_c as well as for P and P_c. The unit system used (K or R for T) is irrelevant because of the usage of the reduced values T_r and P_r.