It has been determined that the sticking coefficient of $O_2$ on $Pt(111)$ as a function of surface temperature follows the data below:

$\backslash$table$[[$Temp$,$so$],[200K,0\mathrm{.}10],[250K,0\mathrm{.}075],[310K,0\mathrm{.}05],[400K,0\mathrm{.}04],[600K,0\mathrm{.}03],[680K,0\mathrm{.}025]]$

Using an Arrhenius formulation, determine the pre$-$exponential factor and the activation barrier for adsorption.