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  • Calculating Radioisotope Half-Life: A Step-by-Step Guide
    Here's how to determine the half-life of the radioisotope:

    Understanding Half-Life

    * Definition: Half-life is the time it takes for half of the radioactive atoms in a sample to decay.

    * Key Concept: The amount of time it takes for a radioactive sample to decay by half is always the same, regardless of how much material is present.

    Calculation

    1. Determine the fraction of the sample remaining: The sample decayed from 0.02 g to 0.01 g, which means it's now half its original size.

    2. Relate this to the half-life: Since the sample decayed to half its original amount in 31 seconds, the half-life of this radioisotope is 31 seconds.

    Therefore, the half-life of the radioisotope is 31 seconds.

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