We’re being asked to time it would take for a polonium-210 to decay to one-fourth the original amount.
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.
In how many days will a sample of polonium 210 with a half-life of 138 days decay to one-fourth of the original amount?
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