Find AG for the following reaction, using AH and S values. f H2(g) + I2(s) → 2 HI(g)

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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.
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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