For the reaction \( A + B + C \rightarrow D + E \), the initial reaction rate was measured for various initial concentrations of reactants. The following data were collected: | Trial | [A] (M) | [B] (M) | [C] (M) | Initial rate (M/s) | |-------|---------|---------|---------|--------------------| | 1 | 0.40 | 0.40 | 0.40 | \(1.2 \times 10^{-4}\) | | 2 | 0.40 | 0.40 | 1.20 | \(3.6 \times 10^{-4}\) | | 3 | 0.80 | 0.40 | 0.40 | \(4.8 \times 10^{-4}\) | | 4 | 0.80 | 0.80 | 0.40 | \(4.8 \times 10^{-4}\) | This table summarizes the initial concentrations of reactants A, B, and C in molarity (M) and the corresponding initial reaction rates measured in moles per second (M/s). The trials were likely conducted to analyze how varying the concentration of each reactant affects the rate of the reaction.

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Determine the rate constant K.

For the reaction \( A + B + C \rightarrow D + E \), the initial reaction rate was measured for various initial concentrations of reactants. The following data were collected:

| Trial | [A] (M) | [B] (M) | [C] (M) | Initial rate (M/s) |
|-------|---------|---------|---------|--------------------|
| 1     | 0.40    | 0.40    | 0.40    | \(1.2 \times 10^{-4}\) |
| 2     | 0.40    | 0.40    | 1.20    | \(3.6 \times 10^{-4}\) |
| 3     | 0.80    | 0.40    | 0.40    | \(4.8 \times 10^{-4}\) |
| 4     | 0.80    | 0.80    | 0.40    | \(4.8 \times 10^{-4}\) |

This table summarizes the initial concentrations of reactants A, B, and C in molarity (M) and the corresponding initial reaction rates measured in moles per second (M/s). The trials were likely conducted to analyze how varying the concentration of each reactant affects the rate of the reaction.
Transcribed Image Text:For the reaction \( A + B + C \rightarrow D + E \), the initial reaction rate was measured for various initial concentrations of reactants. The following data were collected: | Trial | [A] (M) | [B] (M) | [C] (M) | Initial rate (M/s) | |-------|---------|---------|---------|--------------------| | 1 | 0.40 | 0.40 | 0.40 | \(1.2 \times 10^{-4}\) | | 2 | 0.40 | 0.40 | 1.20 | \(3.6 \times 10^{-4}\) | | 3 | 0.80 | 0.40 | 0.40 | \(4.8 \times 10^{-4}\) | | 4 | 0.80 | 0.80 | 0.40 | \(4.8 \times 10^{-4}\) | This table summarizes the initial concentrations of reactants A, B, and C in molarity (M) and the corresponding initial reaction rates measured in moles per second (M/s). The trials were likely conducted to analyze how varying the concentration of each reactant affects the rate of the reaction.
Expert Solution
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Rate of reaction is defined as the rate at which reaction proceeds. It is expressed as change in concentration of a species with respect to time.

The rate of reaction is proportional to concentration terms of each reactants raised to power its order. The constant of proportionality between rate of reaction and the concentration terms is the rate constant. 

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