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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
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.
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.