Derivation of a New Dimensionless Number for Evaporation and Theoretical Prediction of Saturation Vapor Pressure for Pure Substances

Abstract

In a previous report (Chemical Engineering Research and Design, 136, 251–261, 2018), a new dimensionless parameter for sublimation, apSP≡κ⁻¹=(T^m_Solute/T₀)⁻² (v_Solute·eSP_Solute²/R)⁻¹, was derived. In the apSP value, T^m_Solute, v_Solute, eSP_Solute and R are melting temperature, molar volume and entropy-based Solubility Parameter and gas constant, respectively. T₀ is the standard temperature (=298.2 K). In this work, this parameter was applied to evaporation process for pure substances. As a result, a new dimensionless number, apVP≡(T^b/T₀)⁻² (v_Liquid·eSP_Liquid²/R)⁻¹, was developed. In the apVP value, T^b, v_Liquid, eSP_Liquid are boiling temperature, and molar liquid volume and eSP in liquid phase, respectively. From these results, it is possible to determine the Antoine constants (A, B, C) of an unknown substance by considering the saturated vapor pressure P_vp⁰ at the standard temperature T⁰, as well as the standard boiling point T^b at the standard pressure P⁰ (=101.3 kPa) and the critical pressure P_C at the critical temperature T_C.