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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![**Question:**
Which \( K_{eq} \) corresponds to a negative value of \( \Delta G^\circ \)? \( K_{eq} = 225 \) or \( K_{eq} = 0.125 \)? Select the single best answer.
- [ ] 0.125
- [ ] 225
**Explanation:**
In chemical thermodynamics, the relationship between the equilibrium constant \( K_{eq} \) and the change in free energy \( \Delta G^\circ \) is given by the equation:
\[
\Delta G^\circ = -RT \ln(K_{eq})
\]
Where:
- \( R \) is the universal gas constant.
- \( T \) is the temperature in Kelvin.
A negative \( \Delta G^\circ \) indicates a spontaneous reaction under standard conditions. For \( \Delta G^\circ \) to be negative, \( \ln(K_{eq}) \) must be positive, meaning \( K_{eq} > 1 \).
Therefore, \( K_{eq} = 225 \) corresponds to a negative \( \Delta G^\circ \) because it is greater than 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10109699-e850-457b-a56b-e064ba192cdf%2F70dd4c5a-766a-4c95-88cf-d7e41538f8ab%2Fseymz6u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Which \( K_{eq} \) corresponds to a negative value of \( \Delta G^\circ \)? \( K_{eq} = 225 \) or \( K_{eq} = 0.125 \)? Select the single best answer.
- [ ] 0.125
- [ ] 225
**Explanation:**
In chemical thermodynamics, the relationship between the equilibrium constant \( K_{eq} \) and the change in free energy \( \Delta G^\circ \) is given by the equation:
\[
\Delta G^\circ = -RT \ln(K_{eq})
\]
Where:
- \( R \) is the universal gas constant.
- \( T \) is the temperature in Kelvin.
A negative \( \Delta G^\circ \) indicates a spontaneous reaction under standard conditions. For \( \Delta G^\circ \) to be negative, \( \ln(K_{eq}) \) must be positive, meaning \( K_{eq} > 1 \).
Therefore, \( K_{eq} = 225 \) corresponds to a negative \( \Delta G^\circ \) because it is greater than 1.
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