Concept explainers
(a)
Interpretation:
The number of decays in the first two-minute interval needs to be determined.
Concept Introduction:
All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:
Here,
The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:
Also,
Here,
The relation between half-life time and decay constant is as follows:
Here,
(b)
Interpretation:
The number of decays in the second two-minute interval needs to be determined.
Concept Introduction:
All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:
Here,
The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:
Also,
Here,
The relation between half-life time and decay constant is as follows:
Here,
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