We’re being asked to determine the half-life of the nuclide using the graph representing the decay of a radioactive nuclide.
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.
Also, recall that half-life is the time needed for the amount of a reactant to decrease by 50% or one-half.
Consider this graph representing the decay of a radioactive nuclide.
What is the half-life of the nuclide?
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