For the reaction below, which statement best describes what is happening with the sign of AGO 2 Fe(CI O4)3(a q) +3 Li2C O3(a q) - Fe2(C O3)3(5) + 6 Li CI O4(a q) (endothermic) OThe reaction is spontaneous at low temperature and non-spontaneous at high temperature. O The reaction is non-spontaneous at low temperature and spontaneous at high temperature. O The reaction is non-spontaneous at all temperatures. OThe reaction is spontaneous at all temperatures.

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### Thermodynamics and Reaction Spontaneity

#### For the reaction below, which statement best describes what is happening with the sign of ΔG°?

\[ \text{2 Fe(ClO}_4\text{)}_2(aq) + \text{3 Li}_2\text{CO}_3(aq) \rightarrow \text{Fe}_2(\text{CO}_3)_3(s) + \text{6 LiClO}_4(aq) \]

**(Endothermic Reaction)**

Options:
- ○ The reaction is spontaneous at low temperature and non-spontaneous at high temperature.
  
- ○ The reaction is non-spontaneous at low temperature and spontaneous at high temperature.
  
- ○ The reaction is non-spontaneous at all temperatures.
  
- ○ The reaction is spontaneous at all temperatures.

### Explanation

In this endothermic reaction, the spontaneity depends on the Gibbs free energy change (ΔG°), which is affected by both enthalpy (ΔH°) and entropy (ΔS°) changes. The equation to determine ΔG° is:

\[ \Delta G° = \Delta H° - T\Delta S° \]

- **Endothermic Reaction**: ΔH° is positive.
- Spontaneity depends on the temperature (T) and the entropy change (ΔS°).

### Graphs and Diagrams
This image does not contain any graphs or diagrams. If applicable, a graph of ΔG° against temperature could help visualize when the reaction becomes spontaneous.
Transcribed Image Text:### Thermodynamics and Reaction Spontaneity #### For the reaction below, which statement best describes what is happening with the sign of ΔG°? \[ \text{2 Fe(ClO}_4\text{)}_2(aq) + \text{3 Li}_2\text{CO}_3(aq) \rightarrow \text{Fe}_2(\text{CO}_3)_3(s) + \text{6 LiClO}_4(aq) \] **(Endothermic Reaction)** Options: - ○ The reaction is spontaneous at low temperature and non-spontaneous at high temperature. - ○ The reaction is non-spontaneous at low temperature and spontaneous at high temperature. - ○ The reaction is non-spontaneous at all temperatures. - ○ The reaction is spontaneous at all temperatures. ### Explanation In this endothermic reaction, the spontaneity depends on the Gibbs free energy change (ΔG°), which is affected by both enthalpy (ΔH°) and entropy (ΔS°) changes. The equation to determine ΔG° is: \[ \Delta G° = \Delta H° - T\Delta S° \] - **Endothermic Reaction**: ΔH° is positive. - Spontaneity depends on the temperature (T) and the entropy change (ΔS°). ### Graphs and Diagrams This image does not contain any graphs or diagrams. If applicable, a graph of ΔG° against temperature could help visualize when the reaction becomes spontaneous.
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