Question

The half-lives of different medical radioisotopes are given in the table. If the initial amount of chromium-51 is 133 mCl, how much chromium-51 is left in the body after 84 days? Radioisotope Half-life (days) arsenic-74 18 iodine-131 phosphorus-32 chromium-51 14 28 шС

Answer 1

We know, the radioactivity decay law - - N= Noe at a whene, N and No are the activity ons disintegration cont of sotopes at a time a 8 t=t and to respectiv t=time a= decay constant here, Akhandecayed Larchids Anasuchidant Now, Chromium 51 has a half life of 28 days. So Maanandanti At half life t= 4/2 = 28 days of nuclear N = No live activity at half life] I would be half day - the initial activity - We can write from equº 0 — Now, No = No e ^(t/2) on, 1-2-(*y) o co(26) = 2 [whene +/- =28 days] on, a = 102 dayt

Now, its been told - No = 133 mci t = 84 days So, according to egun again ( at N = No ein2,84 ) on, N=133 e-(3102) m -(3102) MCM on, N = 133 mci 16.625 m Ci Chromium-5/ would be left after o N = 16.625 mco 84 days. on, N = 133 € ( 78 184) mei 2c
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