Question

The first order rate constant for the decomposition of N₂O₅ is 6 × 10⁻⁴ s⁻¹. The half-life period for this decomposition is ______.

Options

• 1155 s

• 1117 s

• 223.4 s

• 160.9 s

Answer 1

The first order rate constant for the decomposition of N₂O₅ is 6 × 10⁻⁴ s⁻¹. The half-life period for this decomposition is 1155 s.

Explanation:

First-order rate constant:

k = 6 × 10⁻⁴ s⁻¹

We use the half-life formula for a first-order reaction:

`t_(1//2) = 0.693/k`

`t_(1//2) = 0.693/(6 xx 10^-4)`

= `0.693/0.0006`

= 1155 s