The half-lives of different radioisotopes are given in the table.RadioisotopeHalf-life (min)argon-441212lead-1963737potassium-442222indium-1174343If the initial amount of indium-117 is 6.86.8 g, how much indium-117 is left in the body after 8686 min?mass: g

We know that,→ Radioactivity Phenomena follow first oroen kinetics.So, Rate = KA1 K → Rate ConstantBy solving this equation we got:-K = 2.303t log AoAty2 = 0.693KWhere,K→ Rate Constant.t → time.Ao→ Initial amount.A → Remaining Amountty2 → Half life time. • Give,Half life of In-117 ⇒ ty2 = 4343 min. t = 8686 min. Ao = 6.8 g A = ?So, K = 0.693ty2 = 0.6934343 min-1.⇒ K = 0.000159 min-1So, Kt = 2.303 log AoA⇒ log AoA = Kt2.303 = 0.000159 min-1 x 8686 min2.303⇒ log AoA = 0.601⇒ AoA = 100.601 = 3.99⇒ A = Ao3.99 = 6.8g3.99 = 17 gAfter 8686 days In-117 remain = 1.7g

Answered: The half-lives of different…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

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The half-lives of different radioisotopes are given in the table.

Radioisotope	Half-life (min)
argon-44	1212
lead-196	3737
potassium-44	2222
indium-117	4343

If the initial amount of indium-117 is 6.86.8 g, how much indium-117 is left in the body after 8686 min?

mass:

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