The half-life time for the isotope from the given data needs to be determined. Concept introduction: All the radioactive reactions are first order reactions. For first order reaction, the relation between rate constant, k and half-life time is as follows: k = 0.6932 t 1 / 2 Also, the integrated rate expression can be written as follows: t = 2.303 k log A o A t Here, t is time required to decrease the amount of substance from A o to A t and k is rate constant for the reaction.

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Chapter 18, Problem 72QAP

Interpretation Introduction

Interpretation:

The half-life time for the isotope from the given data needs to be determined.

Concept introduction:

All the radioactive reactions are first order reactions. For first order reaction, the relation between rate constant, k and half-life time is as follows:

k=0.6932t1/2

Also, the integrated rate expression can be written as follows:

t=2.303klogAoAt

Here, t is time required to decrease the amount of substance from Ao to At and k is rate constant for the reaction.

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