Question

The second-order rate constant for the decomposition of ClO is 7.53×109 M–1s–1 at a particular temperature. Determine the half-life of ClO when its initial concentration is 1.81×10-8 M.

Answer 1

Half life is given by

t1/2 = 136.3s

Step-by-step explanation:

Peaction Half-life:

The Half-life of a reaction is the time it takes for the reactant concentration to drop to half its original concentration.

For a second order reaction

the time it takes is given by

t1/2 = 1/(k×[A]○

Where k = rate constant and

[A]○ = initial concentration

Therefore

k = 7.53×109 M–1s–1 at a

[ClO]○ its initial concentration = 1.81×10-8 M.

t1/2 = 1/(7.53×109 × 1.81×10-8 )

t1/2 = 136.3 s