The radioactive isotope gallium-67, used in the diagnosis of malignant tumors, has a biological
π‘
half-life of 46.5 hours. The half-life of the isotope is modeled as π΄ = π΄0 (12)β , where h is the half-life and t is the time in hours. If we start with 100 milligrams of the isotope, how many milligrams will be left after: 24 hours, and after 1 week?
t1/2=46.5hrs
Ao=100mg
h=46.5hrs
t=24hrs
=69.92mg left after 24hours
Given t=1week=24*7=168hours
=8.17mg left after one week.
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