ee231_ass1 - EE 231_2010 winter Numerical Analysis for...

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1 EE 231_2010 winter Numerical Analysis for Electrical and Computer Engineers Course Instructor: Dr. Sergiy Vorobyov Assignment 1 1.7 The amount of a uniformly distributed radioactive contaminant contained in a close reactor is measure by its concentration c (Becquerel/liter of Bq/L). The contaminant decreases at a decay rate proportional to its concentration; that is Decay rate = - kc where k is a constant with units of day -1 . Therefore, according to the equation: Change = increases-decreases, a mass balance for the reactor can be written as kc dt dc = = decay by decrease mass in change a) Use Euler’s method to solve this equation from t=0 to 1 d with k =0.2 d -1 . Employ a step size of ∆ t = 0.1d. The concentration at t = 0 is 10 Bq/L. b) Plot the solution on a semilog graph (i.e., In c versus t ) and determine the slope. Interpret your results.
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This note was uploaded on 12/20/2010 for the course E E 231 taught by Professor Vorobyov during the Spring '10 term at University of Alberta.

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ee231_ass1 - EE 231_2010 winter Numerical Analysis for...

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