Read the passage carefully and answer the Questions.
The decomposition of $N_2O_5 (g)$ is given as
$N_2Os (g) → 2NO_2(g) +\frac{1}{2}O_2(g)$
The above reaction is found to be of first order.
Select the correct statement for the half life of the given reaction
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Half life is independent of the initial concentration of $N_2O_5$
For a first-order reaction, the half-life is given by:
$t_{1/2} = \frac{0.693}{k}$
From this expression:
- It does not contain the initial concentration of the reactant.
- It is inversely proportional to the rate constant $k$.
Half life is independent of the initial concentration of N₂O₅ → Correct
Half life is directly proportional to the initial concentration → Incorrect
Half life depends on the final concentration of all species → Incorrect
Half life is directly proportional to the rate constant → Incorrect (it is inversely proportional)