09.03 - Shortcut Estimation of Saturation Properties
Book navigation
- Chapter 1 - Basic concepts
- Chapter 2 - The energy balance
- Chapter 3 - Energy balances for composite systems.
- Chapter 4 - Entropy
- Chapter 5 - Thermodynamics of Processes
- Chapter 6 - Classical Thermodynamics - Generalization to any Fluid
- Chapter 7 - Engineering Equations of State for PVT Properties
- Chapter 8 - Departure functions
-
Chapter 9 - Phase Equlibrium in a Pure Fluid
- 09.01 - Criteria for Phase Equilibrium
- 09.02 - The Clausius-Clapeyron Equation
- 09.03 - Shortcut Estimation of Saturation Properties
- 09.04 - Changes in Gibbs Energy with Pressure
- 09.05 - Fugacity and Fugacity Coefficient
- 09.06 - Fugacity Criteria for Phase Equilibria
- 09.07 - Calculation of Fugacity (Gases)
- 09.08 - Calculation of Fugacity (Liquids)
- 09.09 - Calculation of Fugacity (Solids)
- 09.10 - Saturation Conditions from an Equation of State
- 09.11 - Stable Roots and Saturation Conditions
- Chapter 10 - Introduction to Multicomponent Systems
- Chapter 11 - An Introduction to Activity Models
- Chapter 12 - Van der Waals Activity Models
- Chapter 13 - Local Composition Activity Models
- Chapter 14 - Liquid-liquid and solid-liquid equilibria
- Chapter 16 - Advanced Phase Diagrams
- Chapter 15 - Phase Equilibria in Mixtures by an Equation of State
- Chapter 17 - Reaction Equilibria
- Chapter 18 - Electrolyte Solutions
Shortcut Estimation of Thermodynamic Properties(6min)
Shortcut estimation of thermodynamic properties (sample calculation) can be very quick and sometimes reasonably accurate.(6min, uakron.edu) As a follow-up exercise, it is suggested to adapt the shortcut vapor pressure equation in combination with Eqn. 2.45 and the pathway of Fig. 2.6c to rapidly estimate stream properties. Briefly, all you need is an "IF" statement that checks whether the T is less than Tsat at the given P. If so, then H=Href+CpΔT+Hvap. If not, then H=Href+CpΔT. This can be a quick and convenient method to estimate stream attributes of a process flow diagram. One equation per cell and you're done. This sample calculation illustrates the process for the heat duty of a butane vaporizer and compares the PREOS to the methods of Chapter 2 (ie. Eq. 2.45 etc.)
Comprehension Questions: Suppose you want to tabulate the entropy (S) of your stream attributes by this approach.
1. How would you compute the Sig(T,P)-Sig(Tref,Pref) contribution?
2. How would you compute ΔSvap?
3. Compute "S" for propane at 355K and 3MPa relative to the liquid at 230K and 0.1MPa by this approach.
4. Compute "H" for propane at 355K and 3MPa relative to the liquid at 230K and 0.1MPa by this approach.
5. Compute H and S for the same conditions/reference using the PREOS.
6. Explain the discrepancies between the two approaches. e.g. compare the Hvap values and the (HV-Hig) values, where HV represents the enthalpy of the vapor phase, not the heat of vaporization (Hvap).