Catalytic Kinetics: Turnover vs Consumption (2D)

This 2D companion swaps the particle-race visualization for the actual chemistry: a Runge-Kutta integrator solving Michaelis-Menten enzyme kinetics for the catalytic lane against ordinary second-order kinetics for the stoichiometric lane, both fed substrate at the same real molar rate. Two reaction-scheme diagrams show the mechanistic difference — a closed catalytic cycle that regenerates its promoter versus an open one-shot consumption — while a live concentration chart plots [S], [A] and [P] as the integrator advances them frame by frame. Atom economy still comes from the balanced equation's molar masses, but here the E-factor is measured directly from the cumulative mass of waste versus product that the integration itself produces, giving an independent numerical check on the same green-chemistry principle: identical atom economy, radically different waste, purely because one promoter turns over and the other doesn't.