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  • The rate constant for a radioactive element is . The time inte

The rate constant for a radioactive element is 0.0231 \mathrm{~min}^{-1}. The time interval between the stage of its 38 \% and 76 \% decay is.

Option: 1

10 min


Option: 2

20 min


Option: 3

30 min


Option: 4

40 min


Answers (1)

best_answer

Radioactive decay is first order reaction

\mathrm{So, t_{1 / 2}=\frac{0.693}{k}=\frac{0.643}{0.0231}}
\mathrm{t_{1 / 2}=30 \mathrm{~min} }.

Change in \mathrm{76 \% }  to  \mathrm{38\% } is half the concentration change
\mathrm{76 \% \frac{\text { Half }}{\text { Change }} \rightarrow 38 \%}

So, time interval between the stages of its \mathrm{38 \%} and \mathrm{67 \%} decay is as
\mathrm{t_{1 / 2}=30 \mathrm{~min}}.

Posted by

Gautam harsolia

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