Which of the following expression represents Arrhenius equation ?

Options

A. `k = A_(e)^(E_(a)//RT)`
B. `k = A.e^(RT//E_(a))`
C. `k = (A)/(e^(E_(a)//RT))`
D. `k = (A)/(e^(RT//E_(a)))`

Answer

C

Explanation

Variation of rate constant k with temperature T(K) is given vy Arrhenium equation.
It is basd on the two theories of reaction rates, i.e., collision theory and transition state theory.
`k = Ae^(-E_(a)//RT) = (A^(-))/(e^(Ea//RT))"…"(i)`
where 'A' is called the frequency factor or the pre-exponential factor.
`E_(a)` is activation energy `e^(-E_(a)//RT)` is referred as Boltzmann factor. A has same unit as the rate constant. Collectively A and `E_(a)` are called the Arrhenius parameters of the reaction.