The radioactive isotope iron-59 is used in medical imaging as indicated on the t

Question

The radioactive isotope iron-59 is used in medical imaging as indicated on the table above. If 56.6 milligrams of iron-59 is administered to a patient, how many milligrams are left in the body after 178.0 days?

____ Mg

Some Radioactive Isotopes Useful in Medical Imaging Mode of Decay Isotope Half-life Use in Medical Imaging se in Medical lmagin iC Carbon-11 Fluorine-18 Phosphorus-32 Chromium-51 Iron-59 Gallium-67 Selenium-75 20.3 m 109 m 14.3 d 27.7 d 44.5 d 78.3 h 118 d 13.3 s 22.2 m 6.01 h 8.04 d 64.1 h 3.05 d Brain scan to trace glucose metabolism Brain scan to trace glucose metabolism Detect eye tumors Diagnose albinism, image the spleen and gastrointestinal tract Bone marrow function, diagnose anemias Whole-body scan for tumors Pancreas scan Lung ventilation scan Scan for bone diseases, including cancer Brain, liver, kidney, bone scans; diagnosis of damaged heart muscle Diagnosis of thyroid malfunction Kidney scan Heart scan and exercise stress test 18 15 E.C., Cr Ga IKr Krypton-81m E.C., E.C., 75 99m 43 131 53 197 Strontium-81 Technetium-99m Iodine-131 Mercury-197 Thallium-201 E.C., E.C.,

Explanation / Answer

N(t) = N(0) × (1/2)^t/t(half)

3.5375mg

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