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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![**Calculate \( K_{eq} \) for the following reaction at 25 °C.**
\[ A + B \rightleftharpoons C + D \]
\(\Delta G = -1.45 \, \text{kcal/mol}\)
\[
\Delta G^0 = -RT \ln K_{eq}
\]
\( R = 0.001987 \, \text{kcal/mol.K} \)
---
This image presents a chemical equilibrium problem where you are asked to calculate the equilibrium constant (\( K_{eq} \)) for a given reaction at 25 °C. The reaction involves the conversion of reactants A and B into products C and D. The Gibbs free energy change (\( \Delta G \)) for the reaction is provided as -1.45 kcal/mol.
The formula to calculate \( K_{eq} \) involves the standard Gibbs free energy change (\( \Delta G^0 \)), the universal gas constant (\( R \)), and the absolute temperature in Kelvin. The relationship is shown by the equation:
\[
\Delta G^0 = -RT \ln K_{eq}
\]
Where:
- \( R \) is the gas constant (given as 0.001987 kcal/mol.K).
- \( T \) is the temperature in Kelvin.
- \( K_{eq} \) is the equilibrium constant.
The challenge is to apply this equation and solve for \( K_{eq} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9236b64-b4cd-48d9-84e5-ba64ef39dc54%2F43514081-d447-415c-a75c-7e0851192cba%2Fnzmdh1r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculate \( K_{eq} \) for the following reaction at 25 °C.**
\[ A + B \rightleftharpoons C + D \]
\(\Delta G = -1.45 \, \text{kcal/mol}\)
\[
\Delta G^0 = -RT \ln K_{eq}
\]
\( R = 0.001987 \, \text{kcal/mol.K} \)
---
This image presents a chemical equilibrium problem where you are asked to calculate the equilibrium constant (\( K_{eq} \)) for a given reaction at 25 °C. The reaction involves the conversion of reactants A and B into products C and D. The Gibbs free energy change (\( \Delta G \)) for the reaction is provided as -1.45 kcal/mol.
The formula to calculate \( K_{eq} \) involves the standard Gibbs free energy change (\( \Delta G^0 \)), the universal gas constant (\( R \)), and the absolute temperature in Kelvin. The relationship is shown by the equation:
\[
\Delta G^0 = -RT \ln K_{eq}
\]
Where:
- \( R \) is the gas constant (given as 0.001987 kcal/mol.K).
- \( T \) is the temperature in Kelvin.
- \( K_{eq} \) is the equilibrium constant.
The challenge is to apply this equation and solve for \( K_{eq} \).
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