The amount of a uniformly distributed radioactive contaminant contained in a closed reactor is...

Question

The amount of a uniformly distributed radioactive contaminant contained in a closed reactor is measured by its concentration c (becquerel/liter or 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 Eq. (1.13), a mass balance for the reactor can be written as

(a) Use Euler’s method to solve this equation from t = 0 to 1 d with k = 0.2d^-¹. Employ a step size of ?t = 0.1. The concentration

at t = 0 is 10 Bq/L.

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Aditi · Accepted Answer

SOLUTION
Matlab solution:
% Define k
k=0.2;
% Initial concentration
conc(1) = 10;
% Change in time
delta_t = 0.1;
t = 0:delta_t:1;
% Apply Euler's method
for di = 2:length(t)
	conc(di) = conc(di-1) + -k*delta_t*conc(di-1);
end
% Semilog graph
semilogy(conc,t);

The amount of a uniformly distributed radioactive contaminant contained in a closed reactor is measured by its concentration c (becquerel/liter or Bq/L). The contaminant decreases at a decay rate...

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