How much energy in kilojoules is required to convert 511 mL of water at its boiling point from liquid to vapor? Recall that AHran (H20) = +40,7 kJ/mol. Express the energy to three significant figures with the appropriate units. HẢ 2) ? Value Units heat = Submit Request Answer

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## Problem Statement

**Part A**

How much energy in kilojoules is required to convert 511 mL of water at its boiling point from liquid to vapor? Recall that \( \Delta H_{\text{vap}} (\text{H}_2\text{O}) = +40.7 \, \text{kJ/mol} \).

*Express the energy to three significant figures with the appropriate units.*

**Answer Input Box:**

- **Label**: heat
- **Fields**: Value [  ] Units [  ]

Buttons: 
- Submit
- Request Answer

**Part B**

Complete previous part(s)

Options: 
- Return to Assignment
- Provide Feedback

### Explanation

This problem involves calculating the energy required to vaporize a given volume of water using its molar heat of vaporization. The key concepts include:

1. **Density of Water**: Water has a density of approximately 1 g/mL, which helps convert the volume into mass.
2. **Molar Mass of Water**: The molar mass of water (H\(_2\)O) is approximately 18.015 g/mol.
3. **Enthalpy of Vaporization**: The energy needed to change water from liquid to vapor at its boiling point is given by \( \Delta H_{\text{vap}} \).

### Approach

1. **Convert Volume to Mass**: Use the density of water.
2. **Convert Mass to Moles**: Use the molar mass of water.
3. **Calculate Energy**: Use the formula:
   \[
   \text{Energy (kJ)} = \text{moles of water} \times \Delta H_{\text{vap}}
   \]

4. **Express Energy**: Provide the answer in kilojoules with three significant figures.
Transcribed Image Text:## Problem Statement **Part A** How much energy in kilojoules is required to convert 511 mL of water at its boiling point from liquid to vapor? Recall that \( \Delta H_{\text{vap}} (\text{H}_2\text{O}) = +40.7 \, \text{kJ/mol} \). *Express the energy to three significant figures with the appropriate units.* **Answer Input Box:** - **Label**: heat - **Fields**: Value [ ] Units [ ] Buttons: - Submit - Request Answer **Part B** Complete previous part(s) Options: - Return to Assignment - Provide Feedback ### Explanation This problem involves calculating the energy required to vaporize a given volume of water using its molar heat of vaporization. The key concepts include: 1. **Density of Water**: Water has a density of approximately 1 g/mL, which helps convert the volume into mass. 2. **Molar Mass of Water**: The molar mass of water (H\(_2\)O) is approximately 18.015 g/mol. 3. **Enthalpy of Vaporization**: The energy needed to change water from liquid to vapor at its boiling point is given by \( \Delta H_{\text{vap}} \). ### Approach 1. **Convert Volume to Mass**: Use the density of water. 2. **Convert Mass to Moles**: Use the molar mass of water. 3. **Calculate Energy**: Use the formula: \[ \text{Energy (kJ)} = \text{moles of water} \times \Delta H_{\text{vap}} \] 4. **Express Energy**: Provide the answer in kilojoules with three significant figures.
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