Question

The decomposition of A into product has value of k as 4.5 × 10³ s⁻¹ at 10°C and energy of activation 60 kJ mol⁻¹. At what temperature would k be 1.5 × 10⁴ s⁻¹?

Answer 1

From Arrhenius equation, we obtain

Also, k₁ = 4.5 × 10³ s⁻¹

T₁ = 273 + 10 = 283 K

k₂ = 1.5 × 10⁴ s⁻¹

E_a = 60 kJ mol⁻¹ = 6.0 × 10⁴ J mol⁻¹

Then,

= 297 K

= 24°C

Hence, k would be 1.5 × 10⁴ s⁻¹ at 24°C.

Note: There is a slight variation in this answer and the one given in the NCERT textbook.