
Interpretation:
The amount of the radioactive sample that would remain after 5.5 days, which has a half-life value of 3.8 days is to be determined.
Concept introduction:
The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial amount. The half-life for a given substance is represented by t1/2.
In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.
After each half-life period, the amount of the substance is reduced to half of the initial number.
The time required for the decay of the substance to a given amount of substance can be calculated using the formula mentioned below:
In the above equation, ‘Nt’ represents the mass of the radioactive substance after a certain time interval t, ‘N0’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t1/2).
The half-life of the element is determined by the following formula:

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Chapter 19 Solutions
Chemistry: A Molecular Approach
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