The amount of a uniformaly 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:
decayrate = -kc where k is a consnat with units of day^-1. Therefor, a mass balance for the reactor can be written as dc/dt = -kc
a) Use Eulers method to solve this equation from t= 0 to 1 d with k = 0.2 d^-1. Employ a step size of detla_t = 0.1. The concentration at t = 0 is 10 Bq/L.
b) Plot the solution on a semilog graph and determine the slope.