# Problem: Consider this graph representing the decay of a radioactive nuclide.What is the half-life of the nuclide?

###### FREE Expert Solution

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:

where:

[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

###### Problem Details

Consider this graph representing the decay of a radioactive nuclide.

What is the half-life of the nuclide?