Aradioisotope has a half-life of 5.50 min and an initial decay rate of 7200 bq. what will be the decay rate after 22 min? show all work and include units of measure.

Explanation:

This problem can be solved using the Radioactive Half Life Formula:

    (1)

Where:

is the final amount of radioisotope  (decay rate)

is the initial amount of the radioisotope

is the time elapsed

is the half life of the radioisotope

Knowing this, let's find from (1):

    (2)

    (3)

Finally:

>>> This is the decay rate of the radioisotope

Note it is in Becquerels (Bq), which is the derived unit approved by the International System of Units for radioactivity

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