Answer :
Final answer:
The half-life of the nuclide is 24.0 days.
Explanation:
The half-life of a nuclide is the time it takes for half of the sample to undergo radioactive decay. To determine the half-life, we can use the formula:
Half-life = (0.693 / decay constant)
Here, since the nuclide loses 82.0% of its mass, the remaining mass is 100% - 82.0% = 18.0%. The remaining mass after every half-life is given by the equation:
Remaining mass = Initial mass * (1 - 0.82)
We can calculate the decay constant using the equation:
decay constant = 0.693 / half-life
Therefore, the half-life is:
Half-life = 0.693 / (log(100% / 18.0%) / log(2)) = 24.0 days
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