Final answer:
The rate order with respect to [NO] is 1st order.
Step-by-step explanation:
The rate order with respect to [NO] can be determined by looking at the balanced chemical equation and analyzing the data collected in the lab. From the balanced equation, we can see that the coefficient of NO is 1. Using the collected data, if doubling the concentration of NO results in a doubling of the rate, then the reaction is first-order with respect to [NO]. Therefore, the correct answer is option a) 1st order.