If the half-life ( t_1 / 2) for a first order reaction is 1 minute, then the time required for 99.9 % completion of the reaction is closest to:

If the half-life $\displaystyle \left(\mathrm{t}_{1 / 2}\right)$ for a first order reaction is $\displaystyle 1$ minute, then the time required for $\displaystyle 99.9 \%$ completion of the reaction is closest to :