[faizi400]

i have derived an eq. for the equilibrium constant k for activated complex.
my teacher derived the eq. for k for activated complex for the following eq.
                                A+B  AB*
                                 AB* product
     
 the result for k was k=Ie^{- :delta: H*/RT}k*

my teacher then gave me an assignment for the k of activated complex for the following eq.
                                 A+B AB*
                                 AB* C*
                              AB*+C* product

i used venthoff eq.
                      d ln k*=-  :delta: H*/RT

nd second and third reactions are possible for that AB* is converting into C* and at the same time AB* and C* are reacting to make product.

having k*₁ nd k*₂ for second & third eq.
using venthoff equation,k for the 2nd eq. is same as before k=Ie^{- :delta: H*/RT}k*

but the k for third eq. that i did was k=Ie^{- :delta: H*/RT}k*C_AB*²/C_ABC_C


and by adding both the k ,the final k is

    k=Ie^{- :delta: H*/RT}k*[1+(C_AB*)²/C_ABC_c]/2

i just wanted to know if my derivation is right.