Question

The time required for 10% completion of a first order reaction at 298 K is

equal to that required for its 25% completion at 308 K. If the value of A is

4 × 10¹⁰ s⁻¹. Calculate k at 318 K and E_a.

Answer 1

For a first order reaction,

At 298 K,

At 308 K,

According to the question,

From Arrhenius equation, we obtain

To calculate k at 318 K,

It is given that,

Again, from Arrhenius equation, we obtain