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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206.6 and 3.42 are wrong answers
![### Calculation of Gibbs Free Energy Change (ΔG°) for a Reaction
To determine the standard Gibbs free energy change (ΔG°) for the given reaction, we use the standard enthalpy change (ΔH°) and standard entropy change (ΔS°) values.
#### Reaction:
\[ \text{H}_2(g) + \text{I}_2(s) \rightarrow 2 \text{HI}(g) \]
Given Data:
\[
\Delta H_f° = 206 \ \text{kJ}
\]
To calculate ΔG°, we use the Gibbs free energy equation:
\[
\Delta G° = \Delta H° - T \Delta S°
\]
Since the temperature (T) and \(\Delta S°\) are not provided directly, we assume standard conditions. The standard temperature is typically 298 K (25°C).
The given image provides the enthalpy change (ΔH°) for the reaction but does not provide specific entropy change (ΔS°) values. Normally, entropy values would be needed, and they would be obtained from standard tables.
#### Note:
In educational setups, when exact details are not given, it's crucial to obtain missing standard data from reliable chemical reference books or databases. In this case, since only ΔH° is given (206 kJ), we can only state that if we had ΔS° values, we could plug them into the above equation to find ΔG°.
### Summary:
For the reaction:
\[ \text{H}_2(g) + \text{I}_2(s) \rightarrow 2 \text{HI}(g) \]
The enthalpy change (ΔH°) provided is 206 kJ. To find the Gibbs free energy change (ΔG°), obtain ΔS° and use the equation:
\[
\Delta G° = 206 \ \text{kJ} - T \Delta S°
\]
Ensure you have the standard entropy values for the reactants and products to complete this calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0ae19d5-3750-41df-884f-8ca3aa31e002%2F0da9467b-932c-4129-bc11-dd269e426eff%2Fslsnoei_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculation of Gibbs Free Energy Change (ΔG°) for a Reaction
To determine the standard Gibbs free energy change (ΔG°) for the given reaction, we use the standard enthalpy change (ΔH°) and standard entropy change (ΔS°) values.
#### Reaction:
\[ \text{H}_2(g) + \text{I}_2(s) \rightarrow 2 \text{HI}(g) \]
Given Data:
\[
\Delta H_f° = 206 \ \text{kJ}
\]
To calculate ΔG°, we use the Gibbs free energy equation:
\[
\Delta G° = \Delta H° - T \Delta S°
\]
Since the temperature (T) and \(\Delta S°\) are not provided directly, we assume standard conditions. The standard temperature is typically 298 K (25°C).
The given image provides the enthalpy change (ΔH°) for the reaction but does not provide specific entropy change (ΔS°) values. Normally, entropy values would be needed, and they would be obtained from standard tables.
#### Note:
In educational setups, when exact details are not given, it's crucial to obtain missing standard data from reliable chemical reference books or databases. In this case, since only ΔH° is given (206 kJ), we can only state that if we had ΔS° values, we could plug them into the above equation to find ΔG°.
### Summary:
For the reaction:
\[ \text{H}_2(g) + \text{I}_2(s) \rightarrow 2 \text{HI}(g) \]
The enthalpy change (ΔH°) provided is 206 kJ. To find the Gibbs free energy change (ΔG°), obtain ΔS° and use the equation:
\[
\Delta G° = 206 \ \text{kJ} - T \Delta S°
\]
Ensure you have the standard entropy values for the reactants and products to complete this calculation.
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