Page 225 - Modeling of Chemical Kinetics and Reactor Design
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Reaction Rate Expression  195

                                Figure 3-24 shows the relationship between 1/C  as a function of
                                                                              A
                              time t.  The graph is a straight line, therefore, the assumed order of
                              the reaction is correct.  The slope of the line from the regression
                              analysis is the rate constant k.

                                                                l
                                The rate constant   k =0 0666.
                                                            gmol •sec

                                                        Example 3-7
                                The gas phase decomposition  A  → B + 2C is conducted in a
                              constant volume reactor. Runs 1 through 5 were conducted at 100°C;
                              run 6 was performed at 110°C (Table 3-15). Determine (1) the reaction
                              order and the rate constant, and (2) the activation energy and frequency
                              factor for this reaction.

                              Solution

                                The half-life for the nth order reaction is:
                                        −
                                          −
                                       n 1
                                           1
                                      2
                                 t 12 =  kn 1− )  C 1 −                                 (3-286)
                                       (
                                               n 1
                                               AO























                                           Figure 3-24. Plot of 1/C  against time (sec).
                                                                A
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