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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![**Equilibrium Constant and Enthalpy Change**
For the equilibrium reaction:
\[ \text{A} + \text{B} \rightleftharpoons \text{C} + \text{D} \]
The equilibrium constant (\( K \)) was measured to be 1.20 at 25 °C and \( 1.15 \times 10^{-2} \) at 300 °C.
Determine \( \Delta H^\circ \) for the reaction.
---
**Understanding the Reaction Parameters:**
- **Equilibrium Constant (\( K \))**: This value indicates the ratio of the concentration of products to reactants at equilibrium. A larger \( K \) favors products, while a smaller \( K \) favors reactants.
- **Temperature Influence on \( K \)**: Changes in temperature can shift the equilibrium position, affecting \( K \). In this scenario, observe how \( K \) changes from a higher value at a lower temperature to a significantly smaller value at a higher temperature.
- **Enthalpy Change (\( \Delta H^\circ \))**: This is the heat absorbed or released during a reaction at constant pressure. It can be determined using the van 't Hoff equation, which relates the change in \( K \) over temperature to \( \Delta H^\circ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff96beba6-2919-4d0e-b7ed-499fbd5790bd%2F2c608599-2545-4ed5-9e28-cf6db72bc1d9%2Ffjyxakl_processed.png&w=3840&q=75)
Transcribed Image Text:**Equilibrium Constant and Enthalpy Change**
For the equilibrium reaction:
\[ \text{A} + \text{B} \rightleftharpoons \text{C} + \text{D} \]
The equilibrium constant (\( K \)) was measured to be 1.20 at 25 °C and \( 1.15 \times 10^{-2} \) at 300 °C.
Determine \( \Delta H^\circ \) for the reaction.
---
**Understanding the Reaction Parameters:**
- **Equilibrium Constant (\( K \))**: This value indicates the ratio of the concentration of products to reactants at equilibrium. A larger \( K \) favors products, while a smaller \( K \) favors reactants.
- **Temperature Influence on \( K \)**: Changes in temperature can shift the equilibrium position, affecting \( K \). In this scenario, observe how \( K \) changes from a higher value at a lower temperature to a significantly smaller value at a higher temperature.
- **Enthalpy Change (\( \Delta H^\circ \))**: This is the heat absorbed or released during a reaction at constant pressure. It can be determined using the van 't Hoff equation, which relates the change in \( K \) over temperature to \( \Delta H^\circ \).
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