In some reactions there is a competition between kinetic control and thermodynar product yields. Suppose compound A can undergo two elementary reactions to sta A근 B k-1 or A근C k_2

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58. In some reactions there is a competition between kinetic control and thermodynamic control over
product yields. Suppose compound A can undergo two elementary reactions to stable products:
A근 B
or
k2
A 2 C
k_2
For simplicity we assume first-order kinetics for both forward and reverse reactions. We take the
numerical values k = 1 × 10° s-1, k_1 = 1 × 10? s-1, k2 = 1× 10° s-1, and k_2 = 1 × 104 s-1.
(a) Calculate the equilibrium constant for the equilibrium
From this value, give the ratio of the concentration of B to that of C at equilibrium. This is an
example of thermodynamic control.
(b) In the case of kinetic control, the products are isolated (or undergo additional reaction)
before the back reactions can take place. Suppose the back reactions in the preceding example
(k-1 and k-2) can be ignored. Calculate the concentration ratio of B to C reached in this case.
Transcribed Image Text:58. In some reactions there is a competition between kinetic control and thermodynamic control over product yields. Suppose compound A can undergo two elementary reactions to stable products: A근 B or k2 A 2 C k_2 For simplicity we assume first-order kinetics for both forward and reverse reactions. We take the numerical values k = 1 × 10° s-1, k_1 = 1 × 10? s-1, k2 = 1× 10° s-1, and k_2 = 1 × 104 s-1. (a) Calculate the equilibrium constant for the equilibrium From this value, give the ratio of the concentration of B to that of C at equilibrium. This is an example of thermodynamic control. (b) In the case of kinetic control, the products are isolated (or undergo additional reaction) before the back reactions can take place. Suppose the back reactions in the preceding example (k-1 and k-2) can be ignored. Calculate the concentration ratio of B to C reached in this case.
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