Question

The decomposition of N₂O into N₂ and O₂ in the presence of gaseous argon follows second-order kinetics, with k = (5.0 × 10¹¹ L mol⁻¹ s⁻¹) `"e"^(-(29000  "K")/"T")`. Arrhenius parameters are ______ kJ mol⁻¹.

Options

• 128.90

• 241.10

• 368.50

• 487.30

Answer 1

The decomposition of N₂O into N₂ and O₂ in the presence of gaseous argon follows second-order kinetics, with k = (5.0 × 10¹¹ L mol⁻¹ s⁻¹) `"e"^(-(29000  "K")/"T")`. Arrhenius parameters are 241.10 kJ mol⁻¹.

Explanation:

Given K = (5.0 × 10¹¹ L mol⁻¹ s⁻¹)

Comparing the above expression with

K = `"Ae"^(-"Ea"//"RT")`

A = 5.0 × 10¹¹ L mol⁻¹ s⁻¹

And `"Ea"/"R"` = – 29000 K

⇒ Ea = – 29000 × K × R

= –29000 K × (8.314 × 10^–3 kJ K^–1 mol^–1)

= 241.1 kJ mol^–1