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For the reaction \mathrm{A+B \rightarrow C}. Select the correct expression for the rate constant \mathrm{(k)} in terms of the rate constant for the reverse reaction \mathrm{(k')} using transition state theory.
 

Option: 1

\mathrm{K=K^{\prime} e^{\left(\Delta E_a / R T\right)}}
 


Option: 2

\mathrm{K=K^{\prime} / e^{\left(\Delta E_a / R T\right)}}
 


Option: 3

\mathrm{K=K^{\prime}\left[1-e^{\left(-\Delta E_a / R T\right)}\right]}
 


Option: 4

\mathrm{K=K^{\prime} /\left[1+e^{\left(-\Delta E_a / R T\right)}\right]}


Answers (1)

In transition state theory, the rate constant for the forward reaction \mathrm{( k )} & the rate constant for the reverse reaction \mathrm{( k^{\prime} )} are related through the Gibbs free energy change between the activated complex and reactant / products. The expression for \mathrm{K} is derived as \mathrm{K=K^{\prime} \cdot e^{\left(\Delta E_a / R T\right)}}

Hence option 1 is correct.

Posted by

Ramraj Saini

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