A pilot activated carbon adsorption plant has been designed based on a batch test. The pilot plant is $5$ m long and has a diameter of $30$ cm$.$ The flow rates for these studies were $0\mathrm{.}71$ m$/$s and $1\mathrm{.}42$ m$/$s$.$ The breakdown curve appears when the effluent concentration is $5$ mg$/$L of TOC $($total organic carbon$).$ The TOC concentration of the influent is $125$ mg$/$L$.$ The volume of the rupture curve was $23000$ m$3.$ The data to the pilot plant are shown in the table.

Two possible explanations for these results and a method that determines the validity of the explanations.

$450106\mathrm{.}9120\mathrm{.}140085\mathrm{.}7118\mathrm{.}135037\mathrm{.}0$l$16\mathrm{.}530017\mathrm{.}0115\mathrm{.}42504\mathrm{.}0109\mathrm{.}32000\mathrm{.}591\mathrm{.}51500\mathrm{.}361\mathrm{.}21000\mathrm{.}023\mathrm{.}4500\mathrm{.}04\mathrm{.}70\mathrm{.}71$ m$\text{'}/$s$142$ m'lsTiempo, minTOC, mg$/$L