Answered: Gold-198 has a half-life of 2.7 days.…

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

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Gold-198 has a half-life of 2.7 days. How much of a 275.1 mg275.1 mg gold-198 sample will remain after 13.5 days?

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$A l l r a d i o a c t i v e d i \sin t e g r a t i o n f o l l o w s 1 s t o r d e r k i n e t i c s . F o r 1 s t o r d e r r e a c t i o n K = \frac{1}{t} i n \frac{A_{o}}{A_{t}} K = R a t e c o n s \tan t A_{o} = I n i t i a l c o n c . A_{t} = c o n c . a t t i m e t t \frac{1}{2} = h a l f l i f e S o, \frac{0.693}{t \frac{1}{2}} = \frac{1}{t} i n \frac{A_{o}}{A_{t}} u \sin g t h i s e q u a t i o n w e c a n f i n d t h e a m o u n t o f g o l d s a m p l e r e m a i n a f t e r 13.5 d a y s . A l t e r n a t i v e m e t h o d T h e a m o u n t o f s u b s \tan c e l e f t a f t e r' N' h a l f l i f e i s = A_{o} {(\frac{1}{2})}^{N}$

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