Page 280 - Advanced Thermodynamics for Engineers, Second Edition
P. 280

12.8 THE VAN’T HOFF RELATIONSHIP         269




                  The value of d(lnK p )/d(1/T) may be obtained by plotting a graph of ln K p against 1/T.
                  The values of K p have been calculated using Eqn (12.95) and are listed in Table 12.3 (at the end of
               this chapter) for four reactions. The values have also been depicted as a graph in Fig. 12.4 and it can be
                                                            B
               seen that over a small range of temperature lnK p zA   , where T is the temperature in K; this is to be
                                                            T
               expected from Eqn (12.95).

                                 10 6

                                 10 5


                                 10 4
                                                                H O
                                                          CO 2   2
                                 10 3
                               Equilibrium constant, K pr  10 2 1 0  Water gas




                                 10


                                 10


                                 10 -1

                                                           NO
                                 10 -2

                                 10 -3
                                    0           1000         2000         3000
                                                    Temperature, T / (K)
               FIGURE 12.4
                                          , at a standard pressure, p 0 ¼ 1 bar, with temperature for the reactions.
               Variation of equilibrium constant, K p r
                                                     1
                                                CO þ O 2 5 CO 2
                                                     2
                                                     1
                                                H 2 þ O 2 5 H 2 O
                                                     2
                                              CO 2 þ H 2 5 CO þ H 2 O

                                                1     1
                                                  N 2 þ O 2 5 NO
                                                2     2
   275   276   277   278   279   280   281   282   283   284   285