Page 32 - Color Atlas of Biochemistry
P. 32

Physical Chemistry         23


                 A. Activation energy
                                                                   10                       55
                     Chemical
                     potential
                G a                                                 8
                                                                   Energy (kJ · mol -1 )   Energy (kJ · mol -1 )  50  37 C

                                              Activation energy     6
                                                                                                      ˚
                      Substrate A             E =  G  - G e         4      27  C
                                               a
                                                                             ˚
                                                   a
                G e
                                                                                                  ˚
                                                                    2                           27 C
                                    ∆G = G  - G e    Product B
                                          p
                G p                                                 0                       45
                                                                     0.0      0.5      1.0    0     5   10
                                                                             ∆n/n               ∆n/n · 10 9
                                                               1.                       2.               3.

                 B. Reaction rate

                  [A] 0  = 32 mM                 [A] = 29 mM                   [A] = 23 mM
                                                ∆[A] =  -3 mM                 ∆[A] =  -9 mM





                          0 s                           1 s                            3 s
                                                    ∆t = 1 s                        ∆t = 3 s


                  [B]  = 3 mM                     [B] = 6 mM                    [B] = 12 mM
                     0
                                                 ∆[B] = 3 mM                  ∆[B] =   9 mM
                     mM =                 1.                             2.                            3.
                     mmol · l -1
                                                                              -1
                                                                                   -1
                                          v   =   -∆ [A] / ∆t   =   ∆ [ B] / ∆t     ( mol · l   · s   )
                 C. Reaction order



                        1 Liter  A           C                          A    +   B           C
                   0 s                               1 s         0 s                                1 s
                  [A]  (mM)                       v (mM · s -1)    (mM)                         v (mM · s -1)

                                                                [A]  = 12
                        5                         1             [B] ˚ =   1                     1
                                                                   ˚




                                                                [A]  =   6
                       10                         2             [B] ˚ =   4                     2
                                                                   ˚



                                                                [A]  =   3
                1.     15                         3             [B] ˚ = 12                      3       2.
                                                                   ˚
                                v  =  k · [A]        k, k' : Rate constants  v  =  k' · [A] · [B]

                                                                                                     -1
                    First-order reaction  k = 1/5 s  -1       Second-order reaction    k' = 1/12 l · mmol · s  -1



           Koolman, Color Atlas of Biochemistry, 2nd edition © 2005 Thieme
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