9-10. Use the following data to sketch a heating curve for 1 mole of octane. Start the curve at 57 °C and end it at 150 °C. Show the calculations for each step. You will need the molar heat capacity for the solid, which is not given in the table. It is 255.7 J/K mol. 125.7°C Boiling Point Melting Point AHvap -56.8°C 41.5 kJ/mol AHfus 20.7 kJ/mol Molar Heat capacity (1) Molar Heat capacity (g) 254.6 J/(mol*°C) 316.9 J/(mol* °C) mole nonvxo n to sanm dqn 0001)
9-10. Use the following data to sketch a heating curve for 1 mole of octane. Start the curve at 57 °C and end it at 150 °C. Show the calculations for each step. You will need the molar heat capacity for the solid, which is not given in the table. It is 255.7 J/K mol. 125.7°C Boiling Point Melting Point AHvap -56.8°C 41.5 kJ/mol AHfus 20.7 kJ/mol Molar Heat capacity (1) Molar Heat capacity (g) 254.6 J/(mol*°C) 316.9 J/(mol* °C) mole nonvxo n to sanm dqn 0001)
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ISBN:9781305957404
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Topic: Heating Curve for 1 Mole of Octane
#### Objective:
To sketch a heating curve for 1 mole of octane, starting at -57°C and ending at 150°C. Demonstrate the calculations for each step of the process.
#### Data Table:
| Property | Value |
|-------------------------------|---------------------|
| Boiling Point | 125.7°C |
| Melting Point | -56.8°C |
| ΔH<sub>vap</sub> (Heat of Vaporization) | 41.5 kJ/mol |
| ΔH<sub>fus</sub> (Heat of Fusion) | 20.7 kJ/mol |
| Molar Heat Capacity (liquid) | 254.6 J/(mol*°C) |
| Molar Heat Capacity (gas) | 316.9 J/(mol*°C) |
**Additional Information:**
- Molar heat capacity for the solid (not given in the table): 255.7 J/(K*mol).
#### Explanation of Heating Curve:
1. **Starting Point (-57°C):**
- Begin with octane in its solid state.
2. **Melting Phase (-56.8°C):**
- Use ΔH<sub>fus</sub> to calculate energy needed for the phase transition from solid to liquid.
3. **Heating Liquid (up to 125.7°C):**
- Calculate energy required to raise the temperature of the liquid octane using the molar heat capacity of the liquid.
4. **Boiling Phase (125.7°C):**
- Use ΔH<sub>vap</sub> to calculate energy needed for the phase transition from liquid to gas.
5. **Heating Gas (up to 150°C):**
- Calculate energy needed to raise the temperature of gaseous octane using the molar heat capacity of the gas.
**Calculation Notes:**
- For each phase (solid, liquid, gas), calculate the heat (q) using the formula:
\[
q = m \cdot c \cdot \Delta T
\]
where \( m \) is the number of moles, \( c \) is the molar heat capacity, and \( \Delta T \) is the temperature change.
- For phase transitions, use:
- \( q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc31825ca-e532-4346-8c67-c6f0bc8ad95c%2F478bd551-8304-4f36-bd66-9ccf76f757b9%2F7kupzc6.jpeg&w=3840&q=75)
Transcribed Image Text:### Topic: Heating Curve for 1 Mole of Octane
#### Objective:
To sketch a heating curve for 1 mole of octane, starting at -57°C and ending at 150°C. Demonstrate the calculations for each step of the process.
#### Data Table:
| Property | Value |
|-------------------------------|---------------------|
| Boiling Point | 125.7°C |
| Melting Point | -56.8°C |
| ΔH<sub>vap</sub> (Heat of Vaporization) | 41.5 kJ/mol |
| ΔH<sub>fus</sub> (Heat of Fusion) | 20.7 kJ/mol |
| Molar Heat Capacity (liquid) | 254.6 J/(mol*°C) |
| Molar Heat Capacity (gas) | 316.9 J/(mol*°C) |
**Additional Information:**
- Molar heat capacity for the solid (not given in the table): 255.7 J/(K*mol).
#### Explanation of Heating Curve:
1. **Starting Point (-57°C):**
- Begin with octane in its solid state.
2. **Melting Phase (-56.8°C):**
- Use ΔH<sub>fus</sub> to calculate energy needed for the phase transition from solid to liquid.
3. **Heating Liquid (up to 125.7°C):**
- Calculate energy required to raise the temperature of the liquid octane using the molar heat capacity of the liquid.
4. **Boiling Phase (125.7°C):**
- Use ΔH<sub>vap</sub> to calculate energy needed for the phase transition from liquid to gas.
5. **Heating Gas (up to 150°C):**
- Calculate energy needed to raise the temperature of gaseous octane using the molar heat capacity of the gas.
**Calculation Notes:**
- For each phase (solid, liquid, gas), calculate the heat (q) using the formula:
\[
q = m \cdot c \cdot \Delta T
\]
where \( m \) is the number of moles, \( c \) is the molar heat capacity, and \( \Delta T \) is the temperature change.
- For phase transitions, use:
- \( q
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