Barriers and catalysts

You will write functions that work with the barriers of a reaction and the effect of a catalyst. One finds the reverse barrier. One finds the speed-up that a catalyst gives. One picks the best catalyst from a list.

The idea. $E_a' = E_a - \Delta H$. A catalyst that lowers the barrier by $\Delta E_a$ multiplies the rate constant by $e^{\Delta E_a/RT}$.

Your tasks.

1. Complete reverse_barrier(ea, dh) so that it returns the activation energy of the reverse reaction in kJ/mol.
2. Complete speed_up(ea, ea_cat, T) so that it returns the factor by which the rate constant grows. The barriers are in kJ/mol.
3. Set best to the name of the catalyst with the largest speed-up.