Use the graph to determine all the answers and for the questions in red, please give me the answers for only those

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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Use the graph to determine all the answers and for the questions in red, please give me the answers for only those

**Educational Content: Transcription and Analysis**

---

**Text Transcription:**

- **Determine the rise, run, and slope of the line formed by these points.**

  - Rise: `0.482`
  - Run: `-1.897 x 10^-3` (Incorrect)
  - Slope: `-254.09` (Incorrect)

- **What is the activation energy of this reaction?**

  - \( E_a = 2112.46 \) \( J/mol \) (Incorrect)

---

**Content Explanation:**

The task involves determining the rise, run, and slope of a line based on specific data points.

1. **Rise and Run:**
   - **Rise:** This is the vertical change between two points on a line, noted as `0.482` in this case.
   - **Run:** This represents the horizontal change, recorded as `-1.897 x 10^-3`. However, this value is marked incorrect, suggesting a miscalculation or another issue with the data input.

2. **Slope:**
   - The slope of a line is calculated as the ratio of the rise over the run. Here, it's given as `-254.09`, which is also indicated as incorrect. This indicates that there might have been an error in calculation.

3. **Activation Energy (\( E_a \)):**
   - This value is crucial in chemical kinetics, representing the energy required to start a reaction. The given value is `2112.46 J/mol`, but it's marked incorrect, implying a need for revisiting the calculation.

Each component provides essential information for understanding changes in linear data and the energetics of a chemical reaction. Incorrect indications suggest a need for re-evaluation of the provided data or calculations.
Transcribed Image Text:**Educational Content: Transcription and Analysis** --- **Text Transcription:** - **Determine the rise, run, and slope of the line formed by these points.** - Rise: `0.482` - Run: `-1.897 x 10^-3` (Incorrect) - Slope: `-254.09` (Incorrect) - **What is the activation energy of this reaction?** - \( E_a = 2112.46 \) \( J/mol \) (Incorrect) --- **Content Explanation:** The task involves determining the rise, run, and slope of a line based on specific data points. 1. **Rise and Run:** - **Rise:** This is the vertical change between two points on a line, noted as `0.482` in this case. - **Run:** This represents the horizontal change, recorded as `-1.897 x 10^-3`. However, this value is marked incorrect, suggesting a miscalculation or another issue with the data input. 2. **Slope:** - The slope of a line is calculated as the ratio of the rise over the run. Here, it's given as `-254.09`, which is also indicated as incorrect. This indicates that there might have been an error in calculation. 3. **Activation Energy (\( E_a \)):** - This value is crucial in chemical kinetics, representing the energy required to start a reaction. The given value is `2112.46 J/mol`, but it's marked incorrect, implying a need for revisiting the calculation. Each component provides essential information for understanding changes in linear data and the energetics of a chemical reaction. Incorrect indications suggest a need for re-evaluation of the provided data or calculations.
### Reaction Data Analysis

Consider the reaction data:

#### Reaction: A → products

| T (K) | k (s⁻¹) |
|-------|---------|
| 225   | 0.392   |
| 575   | 0.635   |

#### Problem

Determine which two points should be plotted to graphically ascertain the activation energy of this reaction. To minimize rounding errors, ensure that at least three significant figures are used in all calculations.

#### Points for Graphical Determination

- **First Point (x₁, y₁)**:
  - x₁ = 3.63 × 10⁻³ (Incorrect value)
  - y₁ = -0.936

- **Second Point (x₂, y₂)**:
  - x₂ = 1.739 × 10⁻³
  - y₂ = -0.454

Additionally, a red box indicates that the value of x₁ is incorrect. This suggests that a recalculation or verification of this value is necessary.

These points can be used on a plot of ln(k) against the inverse of temperature (1/T) to determine the slope, which is related to the activation energy.
Transcribed Image Text:### Reaction Data Analysis Consider the reaction data: #### Reaction: A → products | T (K) | k (s⁻¹) | |-------|---------| | 225 | 0.392 | | 575 | 0.635 | #### Problem Determine which two points should be plotted to graphically ascertain the activation energy of this reaction. To minimize rounding errors, ensure that at least three significant figures are used in all calculations. #### Points for Graphical Determination - **First Point (x₁, y₁)**: - x₁ = 3.63 × 10⁻³ (Incorrect value) - y₁ = -0.936 - **Second Point (x₂, y₂)**: - x₂ = 1.739 × 10⁻³ - y₂ = -0.454 Additionally, a red box indicates that the value of x₁ is incorrect. This suggests that a recalculation or verification of this value is necessary. These points can be used on a plot of ln(k) against the inverse of temperature (1/T) to determine the slope, which is related to the activation energy.
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