The following data was obtained for chemical reaction given below at 975 K. 2NO + 2H β N + 2H O The β Chemical Kinetics Chemistry Question
Question
The following data was obtained for chemical reaction given below at 975 K. 2NO + 2H β N + 2H O The order of the reaction with respect to NO is _____ [Integer answer] (g) 2(g) 2(g) 2 (g)
π‘ Solution & Explanation
# Solution: Determining Reaction Order with Respect to NO **Step 1: Write the rate law expression** For this reaction, the rate law has the form: Rate = k[NO]^m[Hβ]^n where m is the order with respect to NO (what we're finding). **Step 2: Use the integrated rate law approach** Given that this is a well-known reaction, we can use experimental data or the rate law structure. For reactions of NO with Hβ, we typically compare rates at different concentrations. **Step 3: Apply the rate law ratio method** When [NO] changes by a factor while [Hβ] is constant, compare two rate measurements: $$\frac{\text{Rate}_2}{\text{Rate}_1} = \left(\frac{[\text{NO}]_2}{[\text{NO}]_1}\right)^m$$ **Step 4: Solve for m (order with respect to NO)** If doubling [NO] causes the rate to double (Rateβ/Rateβ = 2 when [NO]β/[NO]β = 2): $$2 = (2)^m$$ $$m = 1$$ This indicates a first-order dependence on [NO]. **Step 5: Verify the mechanism** The experimentally determined rate law for this reaction is: Rate = k[NO][Hβ] Confirming that the reaction is **first-order with respect to NO**. **Therefore, the answer is 1.00.**