(a)
Interpretation:
The half life of a radioisotope is to be calculated if amount remains is 1.986 g from original mass of 2.00 g in two years.
Concept introduction:
The time needed for one half of nuclei of radioisotope to decay into its products is the half life. The formula to calculate remaining amount of radioactive element is,
Where
The n of equation (1) can be replaced with the equivalent quantity

Answer to Problem 17SSC
Half life is 198 years.
Explanation of Solution
Given, Initial amount (N) is 2.00 g and amount remains
(b)
Interpretation:
The amount of radioisotope remains after 10 years is to be calculated.
Concept introduction:
The time needed for one half of nuclei of radioisotope to decay into its products is the half life. The formula to calculate remaining amount of radioactive element is,
(b)

Answer to Problem 17SSC
The amount of radioisotope remains after 10 years is 0.966 g.
Explanation of Solution
Elapsed time (t) is 10 years and half life (T) is 198 years. First calculate number of half lives.
The time needed for one half of nuclei of radioisotope to decay into its products is the half life. The formula to calculate remaining amount of radioactive element is,
Now put the initial amount and half lives in the above equation.
Chapter 24 Solutions
Chemistry: Matter and Change
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