dc The concentration C of a radioactive contaminant in a closed reactor is given by: =-kC. The rate dt constant is k = 0

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Dc The Concentration C Of A Radioactive Contaminant In A Closed Reactor Is Given By Kc The Rate Dt Constant Is K 0 1 (107.3 KiB) Viewed 39 times

dc The concentration C of a radioactive contaminant in a closed reactor is given by: =-kC. The rate dt constant is k = 0.2 day-1, and the initial concentration is Co = 100 Bq/L (becquerel/liter). (a) (8 pts) Use Euler's method with a step size of At = 0.1 days to estimate C(t = 0.2). = (b) (8 pts) Compute the absolute error and percent relative error of your estimate from Part (a). (c) (5 pts) If we continue Euler's method to t = 200 days using double precision, estimate the memory required to store the vector of all C(t) values. Report your answer in kilobytes (kB). (d) (3 pts) Based on the answer to Part (b), estimate the absolute error that you would expect to see using a step size of At = 0.05 days. Explain your reasoning. (e) (3 pts) A colleague suggests that we can significantly improve the accuracy by decreasing the step size to At = 10-12 days. Is this is a good idea? Why or why not? dC dt (f) (3 pts) What other option do we have to improve the accuracy of the numerical estimate of without changing the step size? Why would it be an improvement?