Question & Answer: A patient is injected with 10.0 mg of radioactive iron-59 (t_1/2 = 45 days). Knowing that…..

Question #: 4 A patient is injected with 10.0 mg of radioactive iron-59 (ti/2 45 days). Knowing that radioactive decay follows first-order kinetics, and assuming all of the Fe-59 is taken up by the spleen, how much remains in that organ 65 days later? A. 2.9 mg B. 3.7 mg C. 5.4 mg D. 1.3 mg

A patient is injected with 10.0 mg of radioactive iron-59 (t_1/2 = 45 days). Knowing that radioactive decay follows first-order kinetics, and assuming all of the Fe-59 is taken up by the spleen, how much remains in that organ 65 days later? A. 2.9 mg B. 3.7 mg C. 5.4 mg D. 1.3 mg

Expert Answer

Answer

First we have to find the number of half lifes

No. of half lifes = 65/45 =1.44

(1/2) ^{no. of half lifes} = equil decimal amount remainining $Rightarrow$ (1/2)^1.44 = 0.3686

Fe-59 remains after 65 days = 0.3686* 10 mg = 3.686 mg

Still stressed from student homework?

Get quality assistance from academic writers!

Order now