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                                                        CHEMICAL ENGINEERING
                           all the different methods available is beyond the scope of this book; selected methods
                           are given for the more commonly needed properties. The criterion used for selecting
                           a particular method for presentation in this chapter was to choose the most easily used,
                           simplest, method that had sufficient accuracy for general use. If highly accurate values are
                           required, then specialised texts on physical property estimation should be consulted; such
                           as those by: Reid et al. (1987), Poling et al. (2000), Bretsznajder (1971) and Sterbacek
                           et al. (1979), and AIChemE (1983) (1985).
                             A quick check on the probable accuracy of a particular method can be made by using
                           it to estimate the property for an analogous compound, for which experimental values are
                           available.
                             The techniques used for prediction are also useful for the correlation, and extrapolation
                           and interpolation, of experimental values.
                             Group contribution techniques are based on the concept that a particular physical
                           property of a compound can be considered to be made up of contributions from the
                           constituent atoms, groups, and bonds; the contributions being determined from experi-
                           mental data. They provide the designer with simple, convenient, methods for physical
                           property estimation; requiring only a knowledge of the structural formula of the compound.
                             Also useful, and convenient to use, are prediction methods based on the use of reduced
                           properties (corresponding states); providing that values for the critical properties are
                           available, or can be estimated with sufficient accuracy; see Sterbacek et al. (1979).


                                                         8.6. DENSITY
                           8.6.1. Liquids
                           Valuesforthedensityofpureliquidscanusuallybefoundinthehandbooks.Itshouldbenoted
                           that the density of most organic liquids, other than those containing a halogen or other “heavy
                                                                  3
                           atom”, usually lies between 800 and 1000 kg/m . Liquid densities are given in Appendix C.
                             An approximate estimate of the density at the normal boiling point can be obtained
                           from the molar volume (see Table 8.6)
                                                                  M
                                                              b D                                 8.1
                                                                 V m
                                                 3
                           where   b D density, kg/m ,
                                 M D molecular mass,
                                                    3
                                V m D molar volume, m /kmol.
                           For mixtures, it is usually sufficient to take the specific volume of the components as
                           additive; even for non-ideal solutions, as is illustrated by Example 8.1.
                             The densities of many aqueous solutions are given by Perry et al. (1997).


                           Example 8.1
                                                                              Ž
                           Calculate the density of a mixture of methanol and water at 20 C, composition 40 per cent
                           w/w methanol.
                                                                Ž
                                              Density of water at 20 C   998.2 kg/m 3
                                                                    Ž
                                              Density of methanol at 20 C  791.2 kg/m 3
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