Use the following data to determine the rate law and the rate constant of the reaction 3A+B-->C+D

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Use the following data to determine the rate law and the rate constant of the reaction 3A+B-->C+D

The table provides data from an experiment investigating the effects of varying concentrations of reactants on the initial reaction rate. It includes three columns: Trial, initial concentration of substance A \([A]_0\), initial concentration of substance B \([B]_0\), and the initial reaction rate.

| Trial | \([A]_0\) (mmol L\(^{-1}\)) | \([B]_0\) (mmol L\(^{-1}\)) | Initial Rate (mmol L\(^{-1}\) s\(^{-1}\)) |
|-------|------------------------------|------------------------------|------------------------------------------|
| 1     | 0.100                        | 0.100                        | 6.10 x 10\(^{-2}\)                       |
| 2     | 0.113                        | 0.100                        | 7.79 x 10\(^{-2}\)                       |
| 3     | 0.100                        | 0.084                        | 5.12 x 10\(^{-2}\)                       |

In Trial 1, the initial concentrations of A and B are both 0.100 mmol L\(^{-1}\), resulting in an initial rate of 6.10 x 10\(^{-2}\) mmol L\(^{-1}\) s\(^{-1}\).

Trial 2 increases the concentration of A to 0.113 mmol L\(^{-1}\) while maintaining the concentration of B at 0.100 mmol L\(^{-1}\). This change results in a higher initial rate of 7.79 x 10\(^{-2}\) mmol L\(^{-1}\) s\(^{-1}\).

In Trial 3, the concentration of A is kept at 0.100 mmol L\(^{-1}\), but the concentration of B is decreased to 0.084 mmol L\(^{-1}\), which leads to a lower initial rate of 5.12 x 10\(^{-2}\) mmol L\(^{-1}\) s\(^{-1}\).
Transcribed Image Text:The table provides data from an experiment investigating the effects of varying concentrations of reactants on the initial reaction rate. It includes three columns: Trial, initial concentration of substance A \([A]_0\), initial concentration of substance B \([B]_0\), and the initial reaction rate. | Trial | \([A]_0\) (mmol L\(^{-1}\)) | \([B]_0\) (mmol L\(^{-1}\)) | Initial Rate (mmol L\(^{-1}\) s\(^{-1}\)) | |-------|------------------------------|------------------------------|------------------------------------------| | 1 | 0.100 | 0.100 | 6.10 x 10\(^{-2}\) | | 2 | 0.113 | 0.100 | 7.79 x 10\(^{-2}\) | | 3 | 0.100 | 0.084 | 5.12 x 10\(^{-2}\) | In Trial 1, the initial concentrations of A and B are both 0.100 mmol L\(^{-1}\), resulting in an initial rate of 6.10 x 10\(^{-2}\) mmol L\(^{-1}\) s\(^{-1}\). Trial 2 increases the concentration of A to 0.113 mmol L\(^{-1}\) while maintaining the concentration of B at 0.100 mmol L\(^{-1}\). This change results in a higher initial rate of 7.79 x 10\(^{-2}\) mmol L\(^{-1}\) s\(^{-1}\). In Trial 3, the concentration of A is kept at 0.100 mmol L\(^{-1}\), but the concentration of B is decreased to 0.084 mmol L\(^{-1}\), which leads to a lower initial rate of 5.12 x 10\(^{-2}\) mmol L\(^{-1}\) s\(^{-1}\).
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