Consider the Arrhenius graph shown here for the ln of the rate constant vs. 1/T for the reaction of the decomposition of Ca(ClO)2 in aqueous solution. Determine the activation energy, Ea in units of kJ/mol.Report your answer to 3 significant figures. **Question 2**Consider the Arrhenius graph shown here for the ln of the rate constant vs. 1/T for the reaction of the decomposition of Ca(ClO)₂ in aqueous solution. Determine the activation energy, Ea, in units of kJ/mol. Report your answer to 3 significant figures.**Graph Description:**1. **Axes:** - The x-axis is labeled as "1/T (1/K)" and ranges from 2.7E-03 to 3.1E-03. - The y-axis is labeled as "ln (k)" and ranges from -12 to -6.2. **Data Points:** - The graph displays several blue diamond-shaped data points that follow a linear trend.3. **Trend Line:** - A straight line is fitted to the data points with the equation given on the graph as: \[ y = -11645x + 24.924 \]4. **Correlation Coefficient:** - The R² value is 0.9752, indicating a strong correlation between the variables.**Interpretation:**To calculate the activation energy (Ea), use the slope of the line from the equation \(-11645\). In the Arrhenius equation, this slope is equal to \(-Ea/R\), where R is the gas constant (8.314 J/mol·K). Converting the slope to kJ/mol and solving for Ea will provide the activation energy of the reaction.

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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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Consider the Arrhenius graph shown here for the ln of the rate constant vs. 1/T for the reaction of the decomposition of Ca(ClO)₂ in aqueous solution.

Determine the activation energy, Ea in units of kJ/mol.

Report your answer to 3 significant figures.

**Question 2**

Consider the Arrhenius graph shown here for the ln of the rate constant vs. 1/T for the reaction of the decomposition of Ca(ClO)₂ in aqueous solution. Determine the activation energy, Ea, in units of kJ/mol. Report your answer to 3 significant figures.

**Graph Description:**

1. **Axes:**
- The x-axis is labeled as "1/T (1/K)" and ranges from 2.7E-03 to 3.1E-03.
- The y-axis is labeled as "ln (k)" and ranges from -12 to -6.

2. **Data Points:**
- The graph displays several blue diamond-shaped data points that follow a linear trend.

3. **Trend Line:**
- A straight line is fitted to the data points with the equation given on the graph as:
\[
y = -11645x + 24.924
\]

4. **Correlation Coefficient:**
- The R² value is 0.9752, indicating a strong correlation between the variables.

**Interpretation:**

To calculate the activation energy (Ea), use the slope of the line from the equation \(-11645\). In the Arrhenius equation, this slope is equal to \(-Ea/R\), where R is the gas constant (8.314 J/mol·K). Converting the slope to kJ/mol and solving for Ea will provide the activation energy of the reaction.

Expert Solution

Step 1

Activation energy is that minimum amount of energy required for reactant to get converted into products in a chemical reaction.

For a given graph lnK vs 1/T activation energy is determined using given equation of line.

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