### Calculating the Average Rate of Change of B#### Problem Statement:Determine the average rate of change of B from \( t = 0 \) s to \( t = 282 \) s for the reaction:\[ \text{A} \rightarrow 2\text{B} \]#### Table Data:A table of values is provided representing the concentration of A over time:| Time (s) | Concentration of A (M) ||----------|------------------------|| 0 | 0.740 || 141 | 0.465 || 282 | 0.190 |#### Average Rate of Reaction:To find the average rate of the production of B, follow these steps:1. Calculate the change in concentration of A over the time interval.2. Use the stoichiometry of the reaction to relate the rate of consumption of A to the rate of production of B.\[ \text{rate}_\text{B} = \](M/s)Complete the steps to find the exact numeric rate.

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Determine the average rate of change of B from t = 0 s to Time (s) Concentration of A (M) t = 282 s. 0.740 141 0.465 A → 2B 282 0.190 rateß = M/s

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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Question

### Calculating the Average Rate of Change of B

#### Problem Statement:
Determine the average rate of change of B from \( t = 0 \) s to \( t = 282 \) s for the reaction:
\[ \text{A} \rightarrow 2\text{B} \]

#### Table Data:
A table of values is provided representing the concentration of A over time:

| Time (s) | Concentration of A (M) |
|----------|------------------------|
| 0 | 0.740 |
| 141 | 0.465 |
| 282 | 0.190 |

#### Average Rate of Reaction:
To find the average rate of the production of B, follow these steps:

1. Calculate the change in concentration of A over the time interval.
2. Use the stoichiometry of the reaction to relate the rate of consumption of A to the rate of production of B.

\[ \text{rate}_\text{B} = \]

(M/s)

Complete the steps to find the exact numeric rate.

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