Interpretation:
The mass of the nuclide that will remain after 49.2 y and after 98.4 y needs to be determined.
Concept introduction:
Remaining amount of radioactive element can be calculated using the formula,
Where, N is the remaining amount
n is the number of half-lives that have passed.
Answer to Problem 55A
Mass of the nuclide that will remain after 49.2 y is 3 mg and after 98.4 y is 0.187 mg.
Explanation of Solution
Let the mass of nuclide remained after 49.2 y = A and the mass of nuclide remained after 98.4 y = B
Given,
Half-life of tritium
Mass of tritium = 48.0 mg.
Now, we divide the number of years by the value of half-life.
Now, we calculate the ratio of the mass left using the following formula,
Where, N is the remaining amount
n is the number of half-lives that have passed.
Therefore,
Now, we divide the mass by the ratio from the above values.
Therefore,
3mg of the nuclide will remain after 49.2 y and 0.1875 mg of the nuclidewill remain after 98.4 y.
Chapter 24 Solutions
Glencoe Chemistry: Matter and Change, Student Edition
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