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chapter one the estimation of physical properties

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THE ESTIMATION OF PHYSICAL PROPERTIES<br />

1.6 CHAPTER ONE<br />

consisting <strong>of</strong> small spherically-symmetric molecules. Typical corresponding-states<br />

correlations express a desired dimensionless property as a function <strong>of</strong> P r , T r , and<br />

<strong>the</strong> chosen third parameter.<br />

Unfortunately, <strong>the</strong> <strong>properties</strong> <strong>of</strong> strongly polar molecules are <strong>of</strong>ten not satisfactorily<br />

represented by <strong>the</strong> two- or three-constant correlations which do so well for<br />

nonpolar molecules. An additional parameter based on <strong>the</strong> dipole moment has <strong>of</strong>ten<br />

been suggested but with limited success, since polar molecules are not easily characterized<br />

by using only <strong>the</strong> dipole moment and critical constants. As a result, although<br />

good correlations exist for <strong>properties</strong> <strong>of</strong> nonpolar fluids, similar correlations<br />

for polar fluids are <strong>of</strong>ten not available or else show restricted reliability.<br />

Structure and Bonding<br />

All macroscopic <strong>properties</strong> are related to molecular structure and <strong>the</strong> bonds between<br />

atoms, which determine <strong>the</strong> magnitude and predominant type <strong>of</strong> <strong>the</strong> intermolecular<br />

forces. For example, structure and bonding determine <strong>the</strong> energy storage capacity<br />

<strong>of</strong> a molecule and thus <strong>the</strong> molecule’s heat capacity.<br />

This concept suggests that a macroscopic property can be calculated from group<br />

contributions. The relevant characteristics <strong>of</strong> structure are related to <strong>the</strong> atoms,<br />

atomic groups, bond type, etc.; to <strong>the</strong>m we assign weighting factors and <strong>the</strong>n determine<br />

<strong>the</strong> property, usually by an algebraic operation that sums <strong>the</strong> contributions<br />

from <strong>the</strong> molecule’s parts. Sometimes <strong>the</strong> calculated sum <strong>of</strong> <strong>the</strong> contributions is not<br />

for <strong>the</strong> property itself but instead is for a correction to <strong>the</strong> property as calculated<br />

by some simplified <strong>the</strong>ory or empirical rule. For example, <strong>the</strong> methods <strong>of</strong> Lydersen<br />

and <strong>of</strong> o<strong>the</strong>rs for estimating T c start with <strong>the</strong> loose rule that <strong>the</strong> ratio <strong>of</strong> <strong>the</strong> normal<br />

boiling temperature to <strong>the</strong> critical temperature is about 2:3. Additive structural increments<br />

based on bond types are <strong>the</strong>n used to obtain empirical corrections to that<br />

ratio.<br />

Some <strong>of</strong> <strong>the</strong> better correlations <strong>of</strong> ideal-gas heat capacities employ <strong>the</strong>oretical<br />

values <strong>of</strong> C p (which are intimately related to structure) to obtain a polynomial<br />

expressing C p as a function <strong>of</strong> temperature; <strong>the</strong> constants in <strong>the</strong> polynomial are<br />

determined by contributions from <strong>the</strong> constituent atoms, atomic groups, and types<br />

<strong>of</strong> bonds.<br />

1-4 ORGANIZATION OF THE BOOK<br />

Reliable experimental data are always to be preferred over results obtained by<br />

<strong>estimation</strong> methods. A variety <strong>of</strong> tabulated data banks is now available although<br />

many <strong>of</strong> <strong>the</strong>se banks are proprietary. A good example <strong>of</strong> a readily accessible data<br />

bank is provided by DIPPR, published by <strong>the</strong> American Institute <strong>of</strong> Chemical Engineers.<br />

A limited data bank is given at <strong>the</strong> end <strong>of</strong> this book. But all too <strong>of</strong>ten<br />

reliable data are not available.<br />

The property data bank in Appendix A contains only substances with an evaluated<br />

experimental critical temperature. The contents <strong>of</strong> Appendix A were taken<br />

ei<strong>the</strong>r from <strong>the</strong> tabulations <strong>of</strong> <strong>the</strong> Thermodynamics Research Center (TRC), College<br />

Station, TX, USA, or from o<strong>the</strong>r reliable sources as listed in Appendix A. Substances<br />

are tabulated in alphabetical-formula order. IUPAC names are listed, with<br />

some common names added, and Chemical Abstracts Registry numbers are indicated.<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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