Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Let's analyze each of the three given reactions by creating potential energy diagrams and evaluating whether each reaction is endothermic or exothermic based on the given enthalpy values.
### 1. Synthesis Reaction: [tex]\( A + B \rightarrow AB \)[/tex]
#### Data:
- Reactants: [tex]\( A + B \)[/tex] with an energy of [tex]\(-15 \text{kJ}\)[/tex]
- Transition State: [tex]\( 30 \text{kJ} \)[/tex]
- Products: [tex]\( AB \)[/tex] with an energy of [tex]\( 20 \text{kJ} \)[/tex]
#### Potential Energy Diagram:
- The reactants start at [tex]\(-15 \text{kJ}\)[/tex].
- The transition state rises to [tex]\( 30 \text{kJ} \)[/tex].
- The products end at [tex]\( 20 \text{kJ} \)[/tex].
#### Steps:
1. Start the diagram with reactants at [tex]\(-15 \text{kJ}\)[/tex].
2. Plot a peak (transition state) at [tex]\( 30 \text{kJ} \)[/tex].
3. End with products at [tex]\( 20 \text{kJ} \)[/tex].
#### Analysis:
- Enthalpy Change (ΔH): [tex]\( 20 \text{kJ} - (-15 \text{kJ}) = 35 \text{kJ} \)[/tex]
- Since ΔH is positive, the reaction absorbs energy.
- Conclusion: The Synthesis Reaction is \textbf{endothermic}.
### 2. Single Replacement Reaction: [tex]\( C + AB \rightarrow CB + A \)[/tex]
#### Data:
- Reactants: [tex]\( C + AB \)[/tex] with an energy of [tex]\( 65 \text{kJ} \)[/tex]
- Transition State: [tex]\( 85 \text{kJ} \)[/tex]
- Products: [tex]\( CB + A \)[/tex] with an energy of [tex]\( 30 \text{kJ} \)[/tex]
#### Potential Energy Diagram:
- The reactants start at [tex]\( 65 \text{kJ} \)[/tex].
- The transition state rises to [tex]\( 85 \text{kJ} \)[/tex].
- The products end at [tex]\( 30 \text{kJ} \)[/tex].
#### Steps:
1. Start the diagram with reactants at [tex]\( 65 \text{kJ} \)[/tex].
2. Plot a peak (transition state) at [tex]\( 85 \text{kJ} \)[/tex].
3. End with products at [tex]\( 30 \text{kJ} \)[/tex].
#### Analysis:
- Enthalpy Change (ΔH): [tex]\( 30 \text{kJ} - 65 \text{kJ} = -35 \text{kJ} \)[/tex]
- Since ΔH is negative, the reaction releases energy.
- Conclusion: The Single Replacement Reaction is \textbf{exothermic}.
### 3. Double Replacement Reaction: [tex]\( AB + CD \rightarrow AD + BC \)[/tex]
#### Data:
- Reactants: [tex]\( AB + CD \)[/tex] with an energy of [tex]\( 10 \text{kJ} \)[/tex]
- Transition State: [tex]\( 75 \text{kJ} \)[/tex]
- Products: [tex]\( AD + BC \)[/tex] with an energy of [tex]\( 60 \text{kJ} \)[/tex]
#### Potential Energy Diagram:
- The reactants start at [tex]\( 10 \text{kJ} \)[/tex].
- The transition state rises to [tex]\( 75 \text{kJ} \)[/tex].
- The products end at [tex]\( 60 \text{kJ} \)[/tex].
#### Steps:
1. Start the diagram with reactants at [tex]\( 10 \text{kJ} \)[/tex].
2. Plot a peak (transition state) at [tex]\( 75 \text{kJ} \)[/tex].
3. End with products at [tex]\( 60 \text{kJ} \)[/tex].
#### Analysis:
- Enthalpy Change (ΔH): [tex]\( 60 \text{kJ} - 10 \text{kJ} = 50 \text{kJ} \)[/tex]
- Since ΔH is positive, the reaction absorbs energy.
- Conclusion: The Double Replacement Reaction is \textbf{endothermic}.
### Summary:
- Synthesis Reaction: [tex]\( \Delta H = 35 \text{kJ} \)[/tex] (endothermic)
- Single Replacement Reaction: [tex]\( \Delta H = -35 \text{kJ} \)[/tex] (exothermic)
- Double Replacement Reaction: [tex]\( \Delta H = 50 \text{kJ} \)[/tex] (endothermic)
### Illustrating the Diagrams:
To visually create the diagrams, you can plot the potential energy on the y-axis and the reaction pathway on the x-axis. Each reaction will show an initial point for the reactants, a peak for the transition state, followed by a final point for the products.
### 1. Synthesis Reaction: [tex]\( A + B \rightarrow AB \)[/tex]
#### Data:
- Reactants: [tex]\( A + B \)[/tex] with an energy of [tex]\(-15 \text{kJ}\)[/tex]
- Transition State: [tex]\( 30 \text{kJ} \)[/tex]
- Products: [tex]\( AB \)[/tex] with an energy of [tex]\( 20 \text{kJ} \)[/tex]
#### Potential Energy Diagram:
- The reactants start at [tex]\(-15 \text{kJ}\)[/tex].
- The transition state rises to [tex]\( 30 \text{kJ} \)[/tex].
- The products end at [tex]\( 20 \text{kJ} \)[/tex].
#### Steps:
1. Start the diagram with reactants at [tex]\(-15 \text{kJ}\)[/tex].
2. Plot a peak (transition state) at [tex]\( 30 \text{kJ} \)[/tex].
3. End with products at [tex]\( 20 \text{kJ} \)[/tex].
#### Analysis:
- Enthalpy Change (ΔH): [tex]\( 20 \text{kJ} - (-15 \text{kJ}) = 35 \text{kJ} \)[/tex]
- Since ΔH is positive, the reaction absorbs energy.
- Conclusion: The Synthesis Reaction is \textbf{endothermic}.
### 2. Single Replacement Reaction: [tex]\( C + AB \rightarrow CB + A \)[/tex]
#### Data:
- Reactants: [tex]\( C + AB \)[/tex] with an energy of [tex]\( 65 \text{kJ} \)[/tex]
- Transition State: [tex]\( 85 \text{kJ} \)[/tex]
- Products: [tex]\( CB + A \)[/tex] with an energy of [tex]\( 30 \text{kJ} \)[/tex]
#### Potential Energy Diagram:
- The reactants start at [tex]\( 65 \text{kJ} \)[/tex].
- The transition state rises to [tex]\( 85 \text{kJ} \)[/tex].
- The products end at [tex]\( 30 \text{kJ} \)[/tex].
#### Steps:
1. Start the diagram with reactants at [tex]\( 65 \text{kJ} \)[/tex].
2. Plot a peak (transition state) at [tex]\( 85 \text{kJ} \)[/tex].
3. End with products at [tex]\( 30 \text{kJ} \)[/tex].
#### Analysis:
- Enthalpy Change (ΔH): [tex]\( 30 \text{kJ} - 65 \text{kJ} = -35 \text{kJ} \)[/tex]
- Since ΔH is negative, the reaction releases energy.
- Conclusion: The Single Replacement Reaction is \textbf{exothermic}.
### 3. Double Replacement Reaction: [tex]\( AB + CD \rightarrow AD + BC \)[/tex]
#### Data:
- Reactants: [tex]\( AB + CD \)[/tex] with an energy of [tex]\( 10 \text{kJ} \)[/tex]
- Transition State: [tex]\( 75 \text{kJ} \)[/tex]
- Products: [tex]\( AD + BC \)[/tex] with an energy of [tex]\( 60 \text{kJ} \)[/tex]
#### Potential Energy Diagram:
- The reactants start at [tex]\( 10 \text{kJ} \)[/tex].
- The transition state rises to [tex]\( 75 \text{kJ} \)[/tex].
- The products end at [tex]\( 60 \text{kJ} \)[/tex].
#### Steps:
1. Start the diagram with reactants at [tex]\( 10 \text{kJ} \)[/tex].
2. Plot a peak (transition state) at [tex]\( 75 \text{kJ} \)[/tex].
3. End with products at [tex]\( 60 \text{kJ} \)[/tex].
#### Analysis:
- Enthalpy Change (ΔH): [tex]\( 60 \text{kJ} - 10 \text{kJ} = 50 \text{kJ} \)[/tex]
- Since ΔH is positive, the reaction absorbs energy.
- Conclusion: The Double Replacement Reaction is \textbf{endothermic}.
### Summary:
- Synthesis Reaction: [tex]\( \Delta H = 35 \text{kJ} \)[/tex] (endothermic)
- Single Replacement Reaction: [tex]\( \Delta H = -35 \text{kJ} \)[/tex] (exothermic)
- Double Replacement Reaction: [tex]\( \Delta H = 50 \text{kJ} \)[/tex] (endothermic)
### Illustrating the Diagrams:
To visually create the diagrams, you can plot the potential energy on the y-axis and the reaction pathway on the x-axis. Each reaction will show an initial point for the reactants, a peak for the transition state, followed by a final point for the products.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.