### Question 10**Explain the significance of the exponential factor \( e^{-E_a/RT} \) in the Arrhenius equation.**---**Detailed Explanation:**The exponential factor \( e^{-E_a/RT} \) in the Arrhenius equation is crucial in understanding how the rate of a chemical reaction depends on temperature and activation energy. Here's what each term represents:- **\( E_a \)**: The activation energy of the reaction, which is the minimum energy that reactant molecules must possess in order for a reaction to occur.- **\( R \)**: The universal gas constant, which has a value of approximately 8.314 J/(mol·K).- **\( T \)**: The absolute temperature in Kelvin.The exponential factor \( e^{-E_a/RT} \) essentially determines the fraction of molecules that have enough energy to surpass the energy barrier (activation energy, \( E_a \)) at a given temperature.- When \( T \) increases, the term \( \frac{E_a}{RT} \) decreases, thus making \( e^{-E_a/RT} \) larger. This means that more molecules have sufficient energy to react, therefore the reaction rate increases.- Conversely, if \( T \) is lower, \( \frac{E_a}{RT} \) increases, making \( e^{-E_a/RT} \) smaller. This results in fewer molecules having the needed energy to react, thus decreasing the reaction rate.In summary, \( e^{-E_a/RT} \) quantifies the effect of temperature and activation energy on the reaction rate, helping to explain why higher temperatures typically increase reaction rates by providing more energy to the reacting molecules. **Question 7****Based on the following energy diagram, which compound, A or C, is formed faster from B? Which is more stable, A or C? Explain.***Energy Diagram Description*:The energy diagram presented shows the energy (denoted as E on the y-axis) versus the reaction coordinate (x-axis). The diagram includes three points: A, B, and C. Here is a detailed description:1. **Point A** is shown at the left side of the diagram, positioned at a lower energy level.2. From A, the energy increases to a peak, and then decreases slightly to reach point B.3. There is another increase in energy from B to another peak, followed by a steeper energy decrease to reach point C on the right side of the diagram, positioned at a lower energy level than B but higher than A.*Explanation for the Questions*:1. **Which compound, A or C, is formed faster from B?** To determine which compound (A or C) is formed faster from B, we need to consider the energy barriers between B and A, and B and C. A higher energy peak indicates a higher activation energy, which corresponds to slower reaction kinetics. - From the diagram, the energy barrier between B and A is lower than the energy barrier between B and C. This implies that the transition from B to A has a lower activation energy compared to B to C. - Therefore, compound A is formed faster from B.2. **Which is more stable, A or C?** To determine which compound is more stable, we compare their energies. The more stable compound will be the one with the lower energy in the energy diagram. - Point A is at a lower energy level compared to point C. - Therefore, compound A is more stable than compound C.In summary:- **Compound A** is formed faster from B.- **Compound A** is also more stable than compound C.

The Arrhenius equation is expressed as: k=Ae-EaRT Where, k is the rate constant. A is the collision…

Answered: Explain the significance of the…

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Chemistry

Explain the significance of the exponential factor e -Ea/RT in the Arrhenius equation.

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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