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August 18, 2010 11:36      9in x 6in     b985-ch06     Elementary Physical Chemistry





                                                Phase and Chemical Equilibria              47




















                                    Schematic diagram of an ideal solution. The dashed lines are the partial
                            Fig. 6.2
                            pressures of components A and B. The drawn line is the total pressure.


                               An example of an ideal solution is a mixture of benzene and toluene
                            (see Fig. 6.2).




                              Note: Each partial pressure is x A P or x B P and the total pressure
                                                                     ∗
                                                             ∗
                                                             A       B
                              is the sum of the two.
                               It can be shown that when a substance obeys Raoult’s Law, the
                            chemical potential becomes

                                                         o
                                                   µ A = µ + RT ln x A                 (6.12)
                                                         A
                            and thus a A = x A [see also Eq. (5.33)].


                            6.2.2. Ideal Dilute Solutions. Henry’s Law
                            Ideal solutions are not very common. Most solutions will show deviations
                            from ideality. However, when solutions are very dilute, the solvent will obey
                            Raoult’s Law (as noted) and the solute will obey Henry’s Law.
                               Henry’s Law states that P B = x B K B,where K B is a constant, Henry’s
                            Law constant, generally not equal to the pressure of pure B, P .Henry’s
                                                                                    ∗
                                                                                   B
                            Law can also be defined in terms of the molarity P B = m B K H.A solution
                            in which the solvent obeys Raoult’s Law and the solute obeys Henry’s Law
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