Sketch a potential energy diagram for the decomposition of nitrous oxide. N20(9) → N2 (9) + O(9) The activation energy for the forward reaction is 269 kJ; AH® is +167 kJ. What is the activation energy for the reverse reaction? Activation energy =| |kJ

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**Title: Understanding Potential Energy Diagrams in Chemical Reactions**

**Potential Energy Diagram for the Decomposition of Nitrous Oxide:**

**Chemical Equation:**
\[ \text{N}_2\text{O (g)} \rightarrow \text{N}_2\text{(g)} + \text{O(g)} \]

In this decomposition reaction, nitrous oxide (\( \text{N}_2\text{O} \)) breaks down into nitrogen (\( \text{N}_2 \)) and oxygen (\( \text{O} \)) gases.

**Activation Energy:**
- The activation energy for the forward reaction is 269 kJ.
- The change in enthalpy (\( \Delta H^\circ \)) for the reaction is +167 kJ. 

To find the activation energy for the reverse reaction, use the relationship:

\[ \text{Activation Energy (reverse)} = \text{Activation Energy (forward)} - \Delta H^\circ \]

**Calculation:**
\[ \text{Activation Energy (reverse)} = 269 \, \text{kJ} - 167 \, \text{kJ} = 102 \, \text{kJ} \]

Therefore, the activation energy for the reverse reaction is 102 kJ.

**Educational Insight:**
Potential energy diagrams provide a visual representation of the energy changes during a chemical reaction. The peaks represent the activation energy needed to initiate the reaction, while the difference in energy between reactants and products represents the enthalpy change (\( \Delta H \)). Understanding these concepts is crucial for analyzing reaction dynamics and kinetics in chemistry.
Transcribed Image Text:**Title: Understanding Potential Energy Diagrams in Chemical Reactions** **Potential Energy Diagram for the Decomposition of Nitrous Oxide:** **Chemical Equation:** \[ \text{N}_2\text{O (g)} \rightarrow \text{N}_2\text{(g)} + \text{O(g)} \] In this decomposition reaction, nitrous oxide (\( \text{N}_2\text{O} \)) breaks down into nitrogen (\( \text{N}_2 \)) and oxygen (\( \text{O} \)) gases. **Activation Energy:** - The activation energy for the forward reaction is 269 kJ. - The change in enthalpy (\( \Delta H^\circ \)) for the reaction is +167 kJ. To find the activation energy for the reverse reaction, use the relationship: \[ \text{Activation Energy (reverse)} = \text{Activation Energy (forward)} - \Delta H^\circ \] **Calculation:** \[ \text{Activation Energy (reverse)} = 269 \, \text{kJ} - 167 \, \text{kJ} = 102 \, \text{kJ} \] Therefore, the activation energy for the reverse reaction is 102 kJ. **Educational Insight:** Potential energy diagrams provide a visual representation of the energy changes during a chemical reaction. The peaks represent the activation energy needed to initiate the reaction, while the difference in energy between reactants and products represents the enthalpy change (\( \Delta H \)). Understanding these concepts is crucial for analyzing reaction dynamics and kinetics in chemistry.
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