Page 117 - Modeling of Chemical Kinetics and Reactor Design
P. 117

Thermodynamics of Chemical Reactions   87

                                             +
                                               .
                                                              .
                                 ∆C =−62 54 4 635  ×10 −2  T −0 721 ×10 −5 T 2  J
                                          .
                                   p
                                                                           mol K
                                                            723
                                 ∆H (  723 K)= ∆H ( 298 K)+  ∫  ∆C dT
                                                 rxn
                                    rxn
                                                                 p
                                                            298
                                Substituting  ∆H ( 298 K) and the parameters  ∆a,  ∆b, and  ∆c in
                                                o
                                                rxn
                              Equation 2-110 gives
                                 ∆H (  723 K) =  ∆H ( 298 K)
                                                  rxn
                                    rxn
                                                723
                                              + (                   − 2           − 5 T dT )
                                                                               ×
                                                                                      2
                                                     62 54 4 635 10
                                                            ∫  − .  + .  ×  T 0 721 10
                                                                        − .
                                                298
                                                        ∆a T T ) + (
                                                                         2
                                                                              2
                                 ∆H     T ( )=  ∆H o  T ( )+ (  −   ∆b  T − )
                                                                            T
                                    rxnT       rxnT  R          R             R
                                                                     2
                                              ∆c
                                                       3
                                                   3
                                                      + ( T − )
                                                     T
                                                       R
                                              3
                                                                (
                                 ∆H (     K)=−             62 54 723 298)
                                                                    −
                                                         {
                                                   ,
                                    rxn  723    164 987+ − .
                                                4 635 10 (  723 − 298 )
                                                         −
                                                      ×
                                                                      2
                                                               2
                                                          2
                                                 .
                                                           +
                                                           2
                                                 .
                                                0 721 ×10 −5 (723 3  − 298 3 )
                                               −                       }
                                                           3
                                            = –164,987 – 26,579.5 + 10,056.21 – 844.70
                                            = –182,354.99
                                                            J
                                                   ,
                                             =−182 355
                                                        g mol CO
                                                                 2
   112   113   114   115   116   117   118   119   120   121   122