Determine the average rate of change of B from t = 0 s to Time (s) Concentration of A (M) t = 352 s. 0.760 176 0.450 A → 2 B 352 0.140 rateg = M/s TOOLS x10

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Title: Calculating the Average Rate of Reaction**

**Objective:**
Determine the average rate of change of B from \( t = 0 \, \text{s} \) to \( t = 352 \, \text{s} \).

**Reaction:**
\[ \text{A} \rightarrow 2\text{B} \]

**Data Table:**

| Time (s) | Concentration of A (M) |
|----------|-------------------------|
| 0        | 0.760                   |
| 176      | 0.450                   |
| 352      | 0.140                   |

**Formula:**
To calculate the average rate of reaction for B:
\[ \text{rate}_B = \]

**Tools:**
- Calculation tools (e.g., scientific calculator)
- Option for multiplying by \( \times 10^n \)

**Instruction for Calculation:**
1. Identify the change in concentration of A over the given time period.
2. Use stoichiometry to determine the change in concentration of B.
3. Calculate the rate using the formula:
   \[
   \text{rate}_B = \frac{\Delta [B]}{\Delta t}
   \]
   where \(\Delta [B] = 2 \times (\text{initial } [A] - \text{final } [A])\).

**Note:**
The diagram or equation space provided allows integration of tools for precise calculation, ensuring accuracy in determining the reaction rate.
Transcribed Image Text:**Title: Calculating the Average Rate of Reaction** **Objective:** Determine the average rate of change of B from \( t = 0 \, \text{s} \) to \( t = 352 \, \text{s} \). **Reaction:** \[ \text{A} \rightarrow 2\text{B} \] **Data Table:** | Time (s) | Concentration of A (M) | |----------|-------------------------| | 0 | 0.760 | | 176 | 0.450 | | 352 | 0.140 | **Formula:** To calculate the average rate of reaction for B: \[ \text{rate}_B = \] **Tools:** - Calculation tools (e.g., scientific calculator) - Option for multiplying by \( \times 10^n \) **Instruction for Calculation:** 1. Identify the change in concentration of A over the given time period. 2. Use stoichiometry to determine the change in concentration of B. 3. Calculate the rate using the formula: \[ \text{rate}_B = \frac{\Delta [B]}{\Delta t} \] where \(\Delta [B] = 2 \times (\text{initial } [A] - \text{final } [A])\). **Note:** The diagram or equation space provided allows integration of tools for precise calculation, ensuring accuracy in determining the reaction rate.
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