At \( \mathrm{t}=0 \), a sample is placed in a reactor. An unstable...

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At \( \mathrm{t}=0 \), a sample is placed in a reactor. An unstable nuclide is produced at a constant rate \( \mathrm{R} \) in the sample by neutron absorption. This nuclide \( \beta^{-} \)decays with half life \( \tau \). Find the time required to produce
P \( 80 \% \) of the equilibrium quantity of this unstable nuclide.

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