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 a first order decomposition of a certain reaction, rate constant is given by the equation
\(\log k(s⁻¹) = 7.14 - \frac{1 \times 10^4 K}{T}\). The activation energy of the reaction (in kJ mol⁻¹) is (\(R = 8.3 J K⁻¹ mol⁻¹\))
Note: The provided value for R is 8.3. We will use the more precise value R=8.314 J K⁻¹ mol⁻¹ for accuracy, as is standard.