Question

Unit 10: Chemical kinetics Name: Student ID: You must bubble in your student ID in full to receive WS grades. 5. Technetium-99m ( TC) is a radioactive isotope commonly used for medical imaging. Te undergoes first-order decomposition so that, 24 h after administration, only 6.25% of the original dose remains. a. What is the half-life of the decomposition of Tc? b. If a patient takes a 0.010 g dose of Tc for a functional brain imaging scan, how much (in grams) will remain in the radioactive form after one week?

Answer 1

De compersi ton at mTe sa t fivst order reaotion K=M Noinitial ameimt N amant atter thmet ktnt order rate comtam No 24 6.23 n tstitdesr feactt = 0.1155 ht 0.693 k O-693 5.998 O.1158 hatt kife h 6h 76h here No 0.G109 t1ueek = Gx24) h= 1681h n No N 0.1155 (a.155x1c8) NO N=3.74 xlo 0.010 27.3 X104 3.74 x16 wi remain ater dne ueek.

here first we calculate the 1st order rate constant and from this we can find half-life of the reaction. Then in the 2nd problem the given amount of Tc taken as N₀ and putting values we can get N.