Suppose that a radioactive substance decays according to the model
.
(a) Show that after a period of
the material has decreased to
of its original value.
is called the time constant and it is defined by this property.
(b)A certain radioactive substance has a half-life of 12 hours. Compute the time constant for this substance.
(c) If there are originally 1000 mg of this radioactive sub-stance present, plot the amount of substance remaining over four time periods
.
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