You are experimenting with a radioactive sample of polonium

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You are experimenting with a radioactive sample of polonium. At the end of 14.0 minutes, exactly 1/16 of the polonium remains. What is the corresponding half life (T sub 1/2) of polonium?

Answer: 112 minutes

Explanation

After 14.0 minutes, exactly 1/16 of the polonium remains.

14 minutes – 1/16 remaining.

Multiply each side by 8:

8 * 14 minutes – 8 * 1/16 remaining.

Simplify:

112 minutes – 1/2 remaining.

This then implies that after 112 minutes, 1/2 of the polonium remains and thus the half life of polonium is 112 minutes.

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