Question

Half-life period of a first order reaction, \[\ce{A -> product}\] is 3.0 hours. What is the value of rate constant?

Options

• 1.596 hr⁻¹

• 0.231 hr⁻¹

• 2.079 hr⁻¹

• 4.329 hr⁻¹

Answer 1

0.231 hr⁻¹

Explanation:

`"t"_(1//2) = 0.693/"k"` ........(For first order reaction)

∴ k = `0.693/"t"_(1//2) = 0.693/(3.0  "hr")` = 0.231 hr⁻¹

Thus, the value of rate constant for the given reaction is 0.231 h⁻¹.