Interpretation: The half life needs to be calculated.
Concept introduction: The time period that is needed for one-half of a radioisotope’s nuclei to decay into its products is half life.
Answer to Problem 58A
Half-life of radioisotope is 126.94 min.
Explanation of Solution
After a given amount of time has elapsed the remaining amount of a radioactive sample is given by the formula is as follows:
Here N is mass of sample,
Given N=1250.0 g,
Put these values in above equation is as follows:
Apply logarithm the equation is as follows:
Thus half-life of radioisotope is 126.94 min.
An unknown radioisotope exhibits 8540 decays per second. The half-life of radioisotope is 126.94 min.
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