Magnesium oxide forms from magnesium and oxygen: Use data in the table to calculate A.Says, AS surr, and AStotal for this reaction. State and Substance ΔΗ; (kJ/mol) Sᵒ [J/(K-mol)] 311.7 364.5 223.0 26.9 32.7 205.0 PCk (g) PCls (g) 2Mg(s) + O₂(g) → 2MgO(s) Cl₂(g) MgO(s) Mg(s) O₂(g) -287.0 -374.9 0 -601.7 0 0

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Estimate the temperature in K at which the reaction will become nonspontaneous. 

### Formation of Magnesium Oxide from Magnesium and Oxygen

The chemical reaction for the formation of magnesium oxide is given by:

\[ 2\text{Mg}(\text{s}) + \text{O}_2(\text{g}) \rightarrow 2\text{MgO}(\text{s}) \]

#### Thermodynamic Data Table

This data is used to calculate the changes in entropy and enthalpy for the surroundings, system, and total reaction.

| State and Substance | \(\Delta H^\circ_f \) (kJ/mol) | \( S^\circ \) [J/(K·mol)] |
|---------------------|-----------------|--------------------|
| \(\text{PCl}_3\)(g) | -287.0          | 311.7              |
| \(\text{PCl}_5\)(g) | -374.9          | 364.5              |
| \(\text{Cl}_2\)(g)  | 0               | 223.0              |
| \(\text{MgO}\)(s)   | -601.7          | 26.9               |
| \(\text{Mg}\)(s)    | 0               | 32.7               |
| \(\text{O}_2\)(g)   | 0               | 205.0              |

### Explanation

- **\(\Delta H^\circ_f\)**: Standard enthalpy of formation in kilojoules per mole (kJ/mol).
- **\(S^\circ\)**: Standard molar entropy in joules per Kelvin per mole \([J/(K·mol)]\).
  
This table includes values for several substances, including \(\text{MgO}\), which is crucial for calculations related to this exothermic reaction. The enthalpy of formation (\(\Delta H^\circ_f\)) and entropy (\(S^\circ\)) for each substance will assist in determining the thermodynamic properties of the reaction.
Transcribed Image Text:### Formation of Magnesium Oxide from Magnesium and Oxygen The chemical reaction for the formation of magnesium oxide is given by: \[ 2\text{Mg}(\text{s}) + \text{O}_2(\text{g}) \rightarrow 2\text{MgO}(\text{s}) \] #### Thermodynamic Data Table This data is used to calculate the changes in entropy and enthalpy for the surroundings, system, and total reaction. | State and Substance | \(\Delta H^\circ_f \) (kJ/mol) | \( S^\circ \) [J/(K·mol)] | |---------------------|-----------------|--------------------| | \(\text{PCl}_3\)(g) | -287.0 | 311.7 | | \(\text{PCl}_5\)(g) | -374.9 | 364.5 | | \(\text{Cl}_2\)(g) | 0 | 223.0 | | \(\text{MgO}\)(s) | -601.7 | 26.9 | | \(\text{Mg}\)(s) | 0 | 32.7 | | \(\text{O}_2\)(g) | 0 | 205.0 | ### Explanation - **\(\Delta H^\circ_f\)**: Standard enthalpy of formation in kilojoules per mole (kJ/mol). - **\(S^\circ\)**: Standard molar entropy in joules per Kelvin per mole \([J/(K·mol)]\). This table includes values for several substances, including \(\text{MgO}\), which is crucial for calculations related to this exothermic reaction. The enthalpy of formation (\(\Delta H^\circ_f\)) and entropy (\(S^\circ\)) for each substance will assist in determining the thermodynamic properties of the reaction.
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