Question

The rate constant is given by the equation $k=P.Z{e}^{-E_a/RT}$. Which factor should register $a$ decrease for the reaction to proceed more rapidly:

• A. $T$
• B. $Z$
• C. $E$
• D. $P$

Answer 1

The correct option is C $E$

$K=P.z{e}^{-E_a/RT}$

$\Rightarrow logk=log\left(Pz{e}^{-E_a/RT}\right)$

$\Rightarrow logk=log\left(Pz\right)+log\left(e^{-E_a/RT}\right)$

$\Rightarrow logk=log\left(Pz\right)-\frac{E_a}{RT}\left(loge\right)$

For $k$ to increase, $\frac{-E_a}{RT}$ shold be small and that can happen only if $E_a$ is less or $T$ is more. So, reaction proceeds rapidly if and only if $E_a$ decreases.