### Determining the Rate Constant of a Reaction**Objective**: Using the data in the table, determine the rate constant \( k \) of the reaction and select the appropriate units.**Reaction**: \[ A + 2B \rightarrow C + D \]### Data Table| Trial | \([A]\) (M) | \([B]\) (M) | Rate (M/s) ||-------|-------------|-------------|------------|| 1 | 0.210 | 0.360 | 0.0175 || 2 | 0.210 | 0.720 | 0.0175 || 3 | 0.420 | 0.360 | 0.0700 |### Rate Constant Calculation**Incorrect Value Entered**: \[ k = 0.183 \]**Correct Units**: \[ \text{Units} = M^{-1}s^{-1} \]### Explanation- **Trial Analysis**: - **Trial 1 and 2**: Comparing the data, \([A]\) remains constant while \([B]\) is doubled, but the rate does not change. This indicates that the reaction rate is independent of the concentration of B. - **Trial 1 and 3**: Here, \([A]\) is doubled while \([B]\) remains constant, and the rate increases by a factor of 4. This suggests that the reaction order with respect to A is 2.- **Rate Law Expression**: \[ \text{Rate} = k[A]^2[B]^0 \] Simplifies to: \[ \text{Rate} = k[A]^2 \]- **Determining \( k \) Using Trial 1**: \[ 0.0175 \, M/s = k (0.210 \, M)^2 \] \[ k = \frac{0.0175}{(0.210)^2} \] \[ k = 0.397 \, M^{-1}s^{-1} \]#### Conclusion:\[ k = 0.397 \, M^{-1}s^{-1} \]The previously entered value \( k = 0.183 \) was incorrect. Based on the data and correct analysis,

Rate can be determined by calculating the rate law for the above reaction which depends on the order…

Using the data in the table, determine the rate constant of the Trial [A] (M) [B] (М) | Rate (M/s) reaction and select the appropriate units. 1 0.210 0.360 0.0175 0.210 0.720 0.0175 A + 2B → C +D 3 0.420 0.360 0.0700 k = Units 0.183 M-'s-1 Incorrect

Using the data in the table, determine the rate constant of the Trial [A] (M) [B] (М) | Rate (M/s) reaction and select the appropriate units. 1 0.210 0.360 0.0175 0.210 0.720 0.0175 A + 2B → C +D 3 0.420 0.360 0.0700 k = Units 0.183 M-'s-1 Incorrect

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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