Question

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A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. For the half life: The half life is the solution (t) of the equation : a/2 =ae^-9.893t

Answer 1

a/2  = a e^-9.893t

divide thru by a

e^-9.893t = 0.5

-9.893t = ln 0.5

t = ln5 / -9.893

t = 0.070 days  (to nearest thousandth)

this equals about 1.68 hours.