Half life (intermediate)

The $106$‍th element, seaborgium, was created artificially in $1974$‍ by bombarding heavy nuclei with lighter ones at the HILAC collider (shown below).

Say, an unknown amount of seaborgium nuclides is produced at time, $t=0.0\text{s}$‍.

The instruments detect $32\text{moles}$‍ at $t=2.0\text{s}$‍, which reduces to only $2.0\text{moles}$‍ at $t=6.0\text{s}$‍.