Question

Catalyst A reduces the activation energy for a reaction by 10 kJ mol–1 at 300 K.
The ratio of rate constants,
$\frac{Κ′ , Catalysed}{Κ,Uncatalysed}$
is ex. The value of x is ____.[nearest integer]
[Assume that the pre-exponential factor is same in both the cases Given R = 8.31 J K–1 mol–1]

Answer 1

The correct answer is 4
$In \frac{Κ′}{Κ} = \frac{E_a - E′_a}{RT}$
$= \frac{10 × 10³}{8.314 × 300}$
In $\frac{Κ′}{Κ}$_ _ $= \frac{100}{8.314 × 3}$
$\frac{Κ′}{Κ} = e^4$
Therefore , x = 4