a reactant decomposes with a half-life of 193 s when its initial concentration is 0.203 m. when the initial concentration is 0.540 m, this same reactant decomposes with the same half-life of 193 s.
What is the order of the reaction?
What is the value and unit of the rate constant for this reaction?

Reaction order refers to the power dependence of rate on the concentration of each reactant. Therefore, for first-order reactions, the rate depends on the concentration of a single species.

1)

Here half life is independent of concentration.

So, it must be 1st order reaction

2)

Given:

Half life = 117 s

use relation between rate constant and half life of 1st order reaction

k = (ln 2) / k

k= 0.693/(half life)

k= 0.693/(117)

k= 5.92*10^-3 s-1

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a reactant decomposes with a half-life of 193 s when its initial concentration is 0.203 m. when the initial concentration is 0.540 m, this same reactant decomposes with the same half-life of 193 s. What is the order of the reaction? What is the value and unit of the rate constant for this reaction?

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a reactant decomposes with a half-life of 193 s when its initial concentration is 0.203 m. when the initial concentration is 0.540 m, this same reactant decomposes with the same half-life of 193 s.
What is the order of the reaction?
What is the value and unit of the rate constant for this reaction?