We’re being asked to determine what percentage of a strontium-90 sample remains after 75.0 yr.
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.
Strontium-90 is a byproduct in nuclear reactors fueled by the radioisotope uranium-235. The of is 28.8 yr. What percentage of a strontium-90 sample remains after 75.0 yr?
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