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
dc
dt
= −kc
change
in mass
=
decrease
by decay
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