Given the information A + B – 2D ΔΗ -646.9 kJ AS 294.0 J/K C– D AH° = 390.0 kJ AS -179.0 J/K %3D calculate AG° at 298 K for the reaction A + B 2C AG° =
Given the information A + B – 2D ΔΗ -646.9 kJ AS 294.0 J/K C– D AH° = 390.0 kJ AS -179.0 J/K %3D calculate AG° at 298 K for the reaction A + B 2C AG° =
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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![### Thermodynamic Calculations for Chemical Reactions
Given the information:
For the reaction:
\[ A + B \rightarrow 2D \]
\[
\Delta H^\circ = -646.9 \, \text{kJ} \qquad \Delta S^\circ = 294.0 \, \text{J/K}
\]
For the reaction:
\[ C \rightarrow D \]
\[
\Delta H^\circ = 390.0 \, \text{kJ} \qquad \Delta S^\circ = -179.0 \, \text{J/K}
\]
Calculate \(\Delta G^\circ\) at 298 K for the reaction:
\[ A + B \rightarrow 2C \]
### Calculation
The Gibbs free energy change \(\Delta G^\circ\) for a reaction at temperature \(T\) is given by the equation:
\[
\Delta G^\circ = \Delta H^\circ - T\Delta S^\circ
\]
Where:
- \(\Delta H^\circ\) is the standard enthalpy change.
- \(\Delta S^\circ\) is the standard entropy change.
- \(T\) is the temperature in Kelvin.
**Put the given values into the formula to calculate \(\Delta G^\circ\) for the given reaction.**
\[
\Delta G^\circ =
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Transcribed Image Text:### Thermodynamic Calculations for Chemical Reactions
Given the information:
For the reaction:
\[ A + B \rightarrow 2D \]
\[
\Delta H^\circ = -646.9 \, \text{kJ} \qquad \Delta S^\circ = 294.0 \, \text{J/K}
\]
For the reaction:
\[ C \rightarrow D \]
\[
\Delta H^\circ = 390.0 \, \text{kJ} \qquad \Delta S^\circ = -179.0 \, \text{J/K}
\]
Calculate \(\Delta G^\circ\) at 298 K for the reaction:
\[ A + B \rightarrow 2C \]
### Calculation
The Gibbs free energy change \(\Delta G^\circ\) for a reaction at temperature \(T\) is given by the equation:
\[
\Delta G^\circ = \Delta H^\circ - T\Delta S^\circ
\]
Where:
- \(\Delta H^\circ\) is the standard enthalpy change.
- \(\Delta S^\circ\) is the standard entropy change.
- \(T\) is the temperature in Kelvin.
**Put the given values into the formula to calculate \(\Delta G^\circ\) for the given reaction.**
\[
\Delta G^\circ =
\]
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