Real-time Product Yield Curve
Product C %
Maxwell-Boltzmann Energy Distribution
Threshold > Ea
This saved reaction workbench uses activation barriers seventy-five and thirty-five kilojoules per mole at three hundred fifty kelvin. Its analytical rate constants share one prefactor and use Arrhenius exponential negative barrier over R T. Dividing the catalyzed constant by the uncatalyzed one cancels that prefactor. The ratio is exponential of forty thousand over R times three hundred fifty, about nine hundred thirty-three thousand. This ratio describes the source analytical branch, not the measured collision conversion yield. At five hundred kelvin the same forty kilojoule barrier difference gives a speedup about fifteen thousand one hundred. The relative catalytic advantage decreases with temperature, even though both individual Arrhenius rate constants increase. This is why relative ratio and absolute reaction rate must be distinguished. The curve evaluates the actual saved ratio from three hundred to six hundred kelvin using a logarithmic vertical coordinate. No particle movie is used as proof of this analytic calculation. The model separately calculates conversion yield as particles of type C divided by all particles. For one hundred particles, twenty C products mean twenty percent. Its collision efficiency uses successful collisions divided by total collisions when that history exists. Before any collision it instead displays a barrier exponential proxy. These quantities have different denominators and different meanings. Changing a barrier changes the analytic rate expression; it does not instantly certify a corresponding measured yield in the particle simulation.