Radioactive decay. A cesium isotope has a half-life of 30 years. What is the continuous compound rate of decay? (Use the radioactive decay model in Problem 43.) 43. Radioactive decay. A mathematical model for the decay of radioactive substances is given by Q = Q 0 e r t where Q 0 = amount of the substance at time t = 0 r = continuous compound rate of decay t = time in years Q = amount of the substance at time t If the continuous compound rate of decay of radium per year is r = −0.000 433 2, how long will it take a certain amount of radium to decay to half the original amount? (This period is the half-life of the substance.)
Radioactive decay. A cesium isotope has a half-life of 30 years. What is the continuous compound rate of decay? (Use the radioactive decay model in Problem 43.) 43. Radioactive decay. A mathematical model for the decay of radioactive substances is given by Q = Q 0 e r t where Q 0 = amount of the substance at time t = 0 r = continuous compound rate of decay t = time in years Q = amount of the substance at time t If the continuous compound rate of decay of radium per year is r = −0.000 433 2, how long will it take a certain amount of radium to decay to half the original amount? (This period is the half-life of the substance.)
Solution Summary: The author explains the rate of decay r of cesium isotope has a half-life of 30 years.
Radioactive decay. A cesium isotope has a half-life of 30 years. What is the continuous compound rate of decay? (Use the radioactive decay model in Problem 43.)
43. Radioactive decay. A mathematical model for the decay of radioactive substances is given by
Q
=
Q
0
e
r
t
where
Q
0
=
amount
of
the
substance
at
time
t
=
0
r
=
continuous
compound
rate
of
decay
t
=
time
in
years
Q
=
amount
of
the
substance
at
time
t
If the continuous compound rate of decay of radium per year is r = −0.000 433 2, how long will it take a certain amount of radium to decay to half the original amount? (This period is the half-life of the substance.)
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