Question

The decomposition of A into products has value of k as 4.5 x 10³ s^-1 at 10°C and energy of activation is 60 kJ mol^-1. At what temperature would k be 15 x 10⁴ s^-1?

Answer 1

k₁ = 4.5 x 10³s^-1
T₁ = 10 + 273 = 283 K
k₂ = 1.5 x 10⁴ s^-1
T₂ = ?
E_a = 60 kJ/mol = 60 x 10³ J/mol
According to Arrhenius equation,

or 0.0472 T₂ = T₁ – 283
or T₁ – 0.0472 T₂ = 283
or 0.9528 T₂ = 283
T₂ = \(\frac { 283 }{ 0.9528 }\) = 297 K
Hence temperature = 297 K