A physical chemist investigates the kinetics of the reaction:
X(aq)+3Y(aq)+2Z(aq)→products \text{X}(\text{aq}) + 3\text{Y}(\text{aq}) + 2\text{Z}(\text{aq}) \rightarrow \text{products} X(aq)+3Y(aq)+2Z(aq)→productsby conducting four experiments at a constant temperature of 298 K. The data obtained are shown below:
| Experiment | [X][\text{X}][X] / mol dm−3\text{mol dm}^{-3}mol dm−3 | [Y][\text{Y}][Y] / mol dm−3\text{mol dm}^{-3}mol dm−3 | [Z][\text{Z}][Z] / 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 | 2.00 × 10-1 | 1.00 × 10-1 | 1.50 × 10-1 | 1.20 × 10-4 |
| 2 | 4.00 × 10-1 | 1.00 × 10-1 | 1.50 × 10-1 | 2.40 × 10-4 |
| 3 | 2.00 × 10-1 | 1.00 × 10-1 | 4.50 × 10-1 | 1.20 × 10-4 |
| 4 | 2.00 × 10-1 | 2.00 × 10-1 | 3.00 × 10-1 | 4.80 × 10-4 |
Explain how the reaction orders can be determined from these experimental results, and determine the rate equation and the rate constant (including its units) for this reaction.
