Final answer:
The orders of reaction are 2 for NO and 1 for H₂, giving an overall reaction order of 3.
Step-by-step explanation:
The reaction H₂(g) + 2NO(g) → N₂O(g) + H₂O(g) has been determined to have the rate rate = k[NO]²[H₂]. When considering the orders with respect to each reactant, the order with respect to NO is 2, meaning the rate of the reaction is proportional to the square of the concentration of NO.
The order with respect to H₂ is 1, implying that the rate is directly proportional to the concentration of H₂. Consequently, the overall order of the reaction is the sum of the orders with respect to the individual reactants, giving us an overall order of 3.