A student investigates the rate of the reaction:
A(aq)+2B(aq)+C(aq)→D(aq)+E(aq) \text{A}(\text{aq}) + 2\text{B}(\text{aq}) + \text{C}(\text{aq}) \rightarrow \text{D}(\text{aq}) + \text{E}(\text{aq}) A(aq)+2B(aq)+C(aq)→D(aq)+E(aq)by carrying out four experiments at the same temperature. The student's results are shown below:
| Experiment | [A][\text{A}][A] / mol dm−3\text{mol dm}^{-3}mol dm−3 | [B][\text{B}][B] / mol dm−3\text{mol dm}^{-3}mol dm−3 | [C][\text{C}][C] / mol dm−3\text{mol dm}^{-3}mol dm−3 | Initial rate / mol dm−3 s−1\text{mol dm}^{-3}\text{ s}^{-1}mol dm−3 s−1 |
|---|---|---|---|---|
| 1 | 1.00 × 10-1 | 1.00 × 10-1 | 1.50 × 10-1 | 4.00 × 10-5 |
| 2 | 1.00 × 10-1 | 2.00 × 10-1 | 1.50 × 10-1 | 8.00 × 10-5 |
| 3 | 2.00 × 10-1 | 1.00 × 10-1 | 3.00 × 10-1 | 1.60 × 10-4 |
| 4 | 1.00 × 10-1 | 2.00 × 10-1 | 4.50 × 10-1 | 8.00 × 10-5 |
Explain how the reaction orders can be determined from the student's results, and determine the rate equation and rate constant (including units) for this reaction.
