Compound NIO (S) Ni (s) NH3 (9) N₂ (g) H₂O (g) Consider the following reaction at 25 °C: 3 NiO(s) + 2 NH³(g) → 3 Ni(s) N₂(g) + 3 H₂O(g) Given the information in the table, calculate AH° for the reaction. AHf (kJ/mol) -239.7 0 -46 0 -241.8 + Sf° (J/mol-K) 38 29.9 192.5 191.5 188.7

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### Thermochemistry of the Reaction

**Consider the following reaction at 25 °C:**

\[ 3 \text{NiO(s)} + 2 \text{NH}_3\text{(g)} \rightarrow 3 \text{Ni(s)} + \text{N}_2\text{(g)} + 3 \text{H}_2\text{O(g)} \]

#### Objective:
Given the information in the table below, calculate the standard enthalpy change (\( \Delta H^\circ \)) for the reaction.

| Compound | \( \Delta H_f^\circ \) (kJ/mol) | \( S_f^\circ \) (J/mol·K) |
|----------|-------------------|------------------|
| NiO (s)  | -239.7            | 38               |
| Ni (s)   | 0                 | 29.9             |
| NH\(_3\) (g)  | -46               | 192.5           |
| N\(_2\) (g)   | 0                 | 191.5           |
| H\(_2\)O (g)  | -241.8            | 188.7           |

### Explanation:

The table provides the standard enthalpy of formation (\( \Delta H_f^\circ \)) and standard entropy (\( S_f^\circ \)) for each compound involved in the reaction. To calculate \( \Delta H^\circ \) for the reaction, apply Hess's Law:

\[ \Delta H^\circ = \sum (\Delta H_f^\circ \text{ of products}) - \sum (\Delta H_f^\circ \text{ of reactants}) \]

Calculate by substituting the given values from the table into the equation.
Transcribed Image Text:### Thermochemistry of the Reaction **Consider the following reaction at 25 °C:** \[ 3 \text{NiO(s)} + 2 \text{NH}_3\text{(g)} \rightarrow 3 \text{Ni(s)} + \text{N}_2\text{(g)} + 3 \text{H}_2\text{O(g)} \] #### Objective: Given the information in the table below, calculate the standard enthalpy change (\( \Delta H^\circ \)) for the reaction. | Compound | \( \Delta H_f^\circ \) (kJ/mol) | \( S_f^\circ \) (J/mol·K) | |----------|-------------------|------------------| | NiO (s) | -239.7 | 38 | | Ni (s) | 0 | 29.9 | | NH\(_3\) (g) | -46 | 192.5 | | N\(_2\) (g) | 0 | 191.5 | | H\(_2\)O (g) | -241.8 | 188.7 | ### Explanation: The table provides the standard enthalpy of formation (\( \Delta H_f^\circ \)) and standard entropy (\( S_f^\circ \)) for each compound involved in the reaction. To calculate \( \Delta H^\circ \) for the reaction, apply Hess's Law: \[ \Delta H^\circ = \sum (\Delta H_f^\circ \text{ of products}) - \sum (\Delta H_f^\circ \text{ of reactants}) \] Calculate by substituting the given values from the table into the equation.
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