Answer : The half-life of the decomposition is, 0.203 seconds.
Solution :
Half-life period of a first order reaction is defined as the the time taken for any fraction of the reaction to complete is independent of the initial concentration.
Formula of the half-life period of a first order reaction will be,
[tex]t_{1/2}=\frac{0.693}{k}[/tex]
where,
[tex]t_{1/2}[/tex] = half-life of the reaction
k = rate constant = [tex]3.40s^{-1}[/tex]
Now put all the values in this formula, we get the half-life of the reaction.
[tex]t_{1/2}=\frac{0.693}{3.40s^{-1}}=0.203s[/tex]
Therefore, the half-life of the decomposition is, 0.203 seconds.
