If the half-life ( $t_{1/2}$ ) for a first order reaction is 1 minute, then the time required for $9

Question

If the half-life ( $t_{1/2}$ ) for a first order reaction is 1 minute, then the time required for $99.9\%$ completion of the reaction is closest to:

Accepted Answer

Sol. [Key Concept: First-order reaction — time for 99.9% completion (≈10 half-lives)] For $1^{	ext{st}	ext{~}}$ order reaction$$\begin{matrix} & kt = 2.303log\frac{A_{0}}{A_{t}}A_{0} = 	ext{~}	ext{initial concentration}	ext{~} \ & A_{t} = 	ext{~}	ext{Final concentration}	ext{~} \ & t_{99.9\%} = 10t_{1/2} \ & t_{99.9\%} = 10 	imes 1	ext{~}	ext{minute}	ext{~} = 10	ext{~}	ext{minutes}	ext{~} \end{matrix}$$

Question

Options

Solution

More Chemical Kinetics and Nuclear Chemistry Questions