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chapter one the estimation of physical properties

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THE ESTIMATION OF PHYSICAL PROPERTIES<br />

1.8 CHAPTER ONE<br />

thalpy <strong>of</strong> vaporization, and pressure corrections to ideal-gas enthalpies and entropies.<br />

The substance is, <strong>of</strong> course, a well-known refrigerant, and its known <strong>properties</strong><br />

are shown by <strong>the</strong> solid curves. While environmental concerns no longer permit use<br />

<strong>of</strong> CCl 2 F 2 , it never<strong>the</strong>less serves as a good example <strong>of</strong> building a full description<br />

from very little information.<br />

For a standard refrigeration cycle operating between 48.9 and 6.7C, <strong>the</strong> evaporator<br />

and condenser pressures are estimated to be 2.4 and 12.4 bar, vs. <strong>the</strong> known<br />

values 2.4 and 11.9 bar. The estimate <strong>of</strong> <strong>the</strong> heat absorption in <strong>the</strong> evaporator checks<br />

closely, and <strong>the</strong> estimated volumetric vapor rate to <strong>the</strong> compressor also shows good<br />

agreement: 2.39 versus 2.45 m 3 /hr per kW <strong>of</strong> refrigeration. (This number indicates<br />

<strong>the</strong> size <strong>of</strong> <strong>the</strong> compressor.) Constant-entropy lines are not shown in Fig. 1-2, but<br />

it is found that <strong>the</strong> constant-entropy line through <strong>the</strong> point for <strong>the</strong> low-pressure<br />

vapor essentially coincides with <strong>the</strong> saturated vapor curve. The estimated coefficient<br />

<strong>of</strong> performance (ratio <strong>of</strong> refrigeration rate to isentropic compression power) is estimated<br />

to be 3.8; <strong>the</strong> value obtained from <strong>the</strong> data is 3.5. This is not a very good<br />

check, but it is never<strong>the</strong>less remarkable because <strong>the</strong> only data used for <strong>the</strong> estimate<br />

were <strong>the</strong> normal boiling point and <strong>the</strong> chemical formula.<br />

Most <strong>estimation</strong> methods require parameters that are characteristic <strong>of</strong> single pure<br />

comp<strong>one</strong>nts or <strong>of</strong> constituents <strong>of</strong> a mixture <strong>of</strong> interest. The more important <strong>of</strong> <strong>the</strong>se<br />

are considered in Chap. 2.<br />

The <strong>the</strong>rmodynamic <strong>properties</strong> <strong>of</strong> ideal gases, such as enthalpies and Gibbs energies<br />

<strong>of</strong> formation and heat capacities, are covered in Chap. 3. Chapter 4 describes<br />

<strong>the</strong> PVT <strong>properties</strong> <strong>of</strong> pure fluids with <strong>the</strong> corresponding-states principle, equations<br />

<strong>of</strong> state, and methods restricted to liquids. Chapter 5 extends <strong>the</strong> methods <strong>of</strong> Chap.<br />

4 to mixtures with <strong>the</strong> introduction <strong>of</strong> mixing and combining rules as well as <strong>the</strong><br />

special effects <strong>of</strong> interactions between different comp<strong>one</strong>nts. Chapter 6 covers o<strong>the</strong>r<br />

<strong>the</strong>rmodynamic <strong>properties</strong> such as enthalpy, entropy, free energies and heat capacities<br />

<strong>of</strong> real fluids from equations <strong>of</strong> state and correlations for liquids. It also introduces<br />

partial <strong>properties</strong> and discusses <strong>the</strong> <strong>estimation</strong> <strong>of</strong> true vapor-liquid critical<br />

points.<br />

Chapter 7 discusses vapor pressures and enthalpies <strong>of</strong> vaporization <strong>of</strong> pure substances.<br />

Chapter 8 presents techniques for <strong>estimation</strong> and correlation <strong>of</strong> phase equilibria<br />

in mixtures. Chapters 9 to 11 describe <strong>estimation</strong> methods for viscosity, <strong>the</strong>rmal<br />

conductivity, and diffusion coefficients. Surface tension is considered briefly in<br />

Chap. 12.<br />

The literature searched was voluminous, and <strong>the</strong> lists <strong>of</strong> references following<br />

each <strong>chapter</strong> represent but a fraction <strong>of</strong> <strong>the</strong> material examined. Of <strong>the</strong> many <strong>estimation</strong><br />

methods available, in most cases only a few were selected for detailed<br />

discussion. These were selected on <strong>the</strong> basis <strong>of</strong> <strong>the</strong>ir generality, accuracy, and availability<br />

<strong>of</strong> required input data. Tests <strong>of</strong> all methods were <strong>of</strong>ten more extensive than<br />

those suggested by <strong>the</strong> abbreviated tables comparing experimental with estimated<br />

values. However, no comparison is adequate to indicate expected errors for new<br />

compounds. The average errors given in <strong>the</strong> comparison tables represent but a crude<br />

overall evaluation; <strong>the</strong> inapplicability <strong>of</strong> a method for a few compounds may so<br />

increase <strong>the</strong> average error as to distort judgment <strong>of</strong> <strong>the</strong> method’s merit, although<br />

efforts have been made to minimize such distortion.<br />

Many <strong>estimation</strong> methods are <strong>of</strong> such complexity that a computer is required.<br />

This is less <strong>of</strong> a handicap than it once was, since computers and efficient computer<br />

programs have become widely available. Electronic desk computers, which have<br />

become so popular in recent years, have made <strong>the</strong> more complex correlations practical.<br />

However, accuracy is not necessarily enhanced by greater complexity.<br />

The scope <strong>of</strong> <strong>the</strong> book is inevitably limited. The <strong>properties</strong> discussed were selected<br />

arbitrarily because <strong>the</strong>y are believed to be <strong>of</strong> wide interest, especially to<br />

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Copyright © 2004 The McGraw-Hill Companies. All rights reserved.<br />

Any use is subject to <strong>the</strong> Terms <strong>of</strong> Use as given at <strong>the</strong> website.

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