What if you were asked to sketch or explain the difference in the temperature–time trajectories and to find the catalyst lifetimes (say a = 0.1) for first- and for second-order decay when E_A = 35 kcal/mol, E_d = 10 kcal/mol, k_d0 = 0.01 day^–1, and T₀ = 400 K? What would you say? Describe how the trajectory of the catalyst lifetime would change if E_A = 10 kcal/mol and E_d = 35 kcal/mol? At what values of kd0 and ratios of E_d to E_A would temperature–time trajectories not be effective? Describe what your temperature–time trajectory would look like if n = 1 + E_d/E_A?