Question

The Arrhenius equation which relates the rate constant (k), activation energy (Ea) andTemperature(T) is *

(a) k=A²e⁻ᴱᵃ/ᴿᵀ

(b) k= A e⁻²ᴱᵃ/ᴿᵀ

(c) k=A e⁻ᴱᵃ/ᴿᵀ

(d) k=Ae⁻ᴱᵃ/²ᴿᵀ​

Answer 1

Arrhenius Equation :

$\boxed{ \sf k = A {e}^{ - Ea/RT}}$

OPTION c) is correct !

Let's define the terms:

• 'A' is a pre-exponential factor or frequency.

• $e^{(-Ea/RT)}$ represents the fraction of molecular collisions with adequate energy levels needed to overcome the Activation Barrier of the reaction at that specific temperature T.

• ''k' is rate constant.

• ''R' is Gas Constant, 'T' is temperature (in Kelvin).

Now, if we take ln on both sides :

$\boxed{ \sf ln(k) = - \dfrac{ E_{a} }{RT} + ln(A) }$