Technetium-99m has a half-life of 6.01 hours. if a patient injected with technetium-99m is safe to leave the hospital once 75% of the dose has decayed, when is the patient allowed to leave?

The patient is allowed to leave after 12.02 hours from the time of ingestion of the medicine.

Explanation:

Where:

= decay constant

=concentration left after time t

= Half life of the sample

Half-life of  Technetium-99m == 6.01 hours.

75% of medic en must have been decayed before leaving the hospital. Then percentage of left over concentration of medicine will be: 100% - 75% = 25%

Time elapsed during this process= t

t = 12.02 hours

The patient is allowed to leave after 12.02 hours from the time of ingestion of the medicine.

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