Question 1Multiple choiceChemical kinetics & rate laws
The initial rate of the reaction was measured at 25 °C for three sets of starting concentrations:
| Experiment | (M) | (M) | Initial rate (M/s) |
|---|---|---|---|
| 1 | 0.10 | 0.10 | |
| 2 | 0.20 | 0.10 | |
| 3 | 0.20 | 0.30 |
What is the rate law for the reaction, and what is the value of the rate constant ?
- A.
, with
- B.
, with
- C.
, with
- D.
, with
Worked solution
Find each order by comparing two experiments in which only one concentration changes.
Order in A: experiments 1 and 2 keep at 0.10 M while doubles. The rate rises from to M/s, a factor of 4. Since , : the reaction is second order in A.
Order in B: experiments 2 and 3 keep at 0.20 M while triples. The rate rises from to M/s, a factor of 3. Since , : first order in B.
So the rate law is and the overall order is 3. Solve for using experiment 1:
The units follow from an overall third-order reaction: . Confirm with experiment 3: M/s, exactly as measured.
Rate with (option A).
Option B is the trap of reading the orders off the coefficients in the balanced equation; orders must come from experimental data. Option C misreads the factor of 3 in experiment 3 as a squared effect (that would need a factor of 9), and option D swaps the two orders, which fits neither pair of experiments.