Consider the reaction scheme given in Equation (22.37) where P is the desired product, with both U and V as undesired by-products. Here it is assumed that the reactions occur in the gas phase. Assume that Equation (22.37) represents elementary steps, that a = b = p = u = v = 1, that β = 2, and that the activation energies for the reactions are as follows: E₁ > E₂ > E₃.

1. For the case where k₂ = 0, what conditions maximize the selectivity for P?

2. For the case where k₃ = 0, what conditions maximize the selectivity for P?