Question

A specific radioactive substance follows a continuous exponential decay mode. It has a half-life of 16 days. At the start of the experiment, 61.7 g is present. Din (a) Lett be the time (in days) since the start of the experiment, and let y be the amount of the substance at time. Write a formula relating y toi. Use exact expressions to fill in the missing parts of the formula Do not use approximations X ? (b) How much will be present in 9 days? Do not round any intermediate computations, and round your answer to the nearest tenth

Answer 1

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Half life = 16 days Initial quantity = 61.7g (en to 16 a) Let ay=aebt b) ate *=9 at t= 0 ,9=61.7 (en (1/2))x9 .: 61.7= a ebxo y = 61.7 e a=61.7 - 41.779 = 41.8 g - eg. 0 y = 61.7 ebt for half life, ey= 61.7 t=16, 2 61.7 - 61.7 e 16b 2 = lot en ( 1 ) = ln (e) en (2) = 16b b= ln (1/2) 16