Final answer:
The intermediates in the reaction mechanism are N₂O₂ and H₂O. The rate-determining step is the second step involving N₂O₂ and H₂. This is because the rate law for the overall reaction is consistent with the formation of N₂O₂ and its reaction in the rate-determining step.
Step-by-step explanation:
The substances that are intermediates in the proposed reaction mechanism of NO with H₂ to form N₂O and H₂O are B) N₂O₂ and D) H₂O. An intermediate is a species that is formed in one step of a reaction mechanism and consumed in a subsequent step; it does not exist in the initial or final reaction states. Therefore, NO and H₂ are not intermediates as they are reactants, while H₂O is clearly a product and not an intermediate. However, according to the provided mechanism, N₂O₂ is formed in the first step and consumed in the second step, making it an intermediate.
Regarding the rate-determining step, it is Step 2 (N₂O₂ + H₂ = N₂O + H₂O). The rate-determining step is the slowest step in a reaction mechanism and controls the overall rate of the reaction. The rate law is consistent with the proposed mechanism, where the experimental rate law shows a dependence on the concentration of NO squared and the concentration of H₂, which corresponds to the formation of N₂O₂ (k₁ [NO]²) and its subsequent reaction in the rate-determining step.