We’re being asked to determine the time will it take for the decay rate of F-18 to fall to 2.6x103/s.
Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:
[N]t = concentration at time t
k = decay constant
t = time
[N]0 = initial concentration.
A sample of F-18 has an initial decay rate of 1.6×105 /s .
How long will it take for the decay rate to fall to 2.6×103 /s ? (F-18 has a half-life of 1.83 hours.)
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