Question

Reaction given below follows first order kinetics:

\[\ce{2N2O2 -> 4NO2 + O2}\]

Calculate the rate constant of reaction if concentration of N₂O₂ is 0.05 M and rate of reaction is 1.5 × 10⁻⁶ mol L⁻¹ s⁻¹?

Options

• 2.5 × 10⁻⁵ s⁻¹

• 3.0 × 10⁻⁵ s⁻¹

• 1.5 × 10⁻⁵ s⁻¹

• 2.0 × 10⁻⁵ s⁻¹

Answer 1

3.0 × 10⁻⁵ s⁻¹

Explanation:

For the 1^st order reaction

\[\ce{2N2O2 -> 4NO2 + O2}\]

rate = k[N₂O₅]

1.5 × 10⁻⁶ = k × 0.05

k = `(1.5 xx 10^-6)/0.05` = 3.0 × 10⁻⁵ s⁻¹