The following results were obtained in the gas phase reaction between nitric oxide and oxygen at a given temperature.
Step 1: From the data, doubling the concentration of \([NO]\) from 0.30 to 0.60 (while keeping \([O_2]\) constant) results in quadrupling the rate, indicating a second-order dependence on \([NO]\).
Step 2: Increasing \([O_2]\) concentration from 0.30 to 0.60 (while keeping \([NO]\) constant) doubles the rate, indicating a first-order dependence on \([O_2]\).
Step 3: The total order of the reaction is \(2 (NO) + 1 (O_2) = 3\).
Step 4: Thus, the total order is 3, and the order in \([O_2]\) is 1.
For the reaction:
\[ 2A + B \rightarrow 2C + D \]
The following kinetic data were obtained for three different experiments performed at the same temperature:
\[ \begin{array}{|c|c|c|c|} \hline \text{Experiment} & [A]_0 \, (\text{M}) & [B]_0 \, (\text{M}) & \text{Initial rate} \, (\text{M/s}) \\ \hline I & 0.10 & 0.10 & 0.10 \\ II & 0.20 & 0.10 & 0.40 \\ III & 0.20 & 0.20 & 0.40 \\ \hline \end{array} \]
The total order and order in [B] for the reaction are respectively: