### Question 5 **What is the average translational kinetic energy of an ideal gas at 825 K? (The value of Boltzmann's constant is 1.38 x 10^-23 J/K.)** - ○ 5.69 x 10^-21 J - ○ 1.14 x 10^-17 J - ○ 3.81 x 10^-19 J - ○ 1.71 x 10^-20 J --- **Instructions:** - Click "Save and Submit" to save and submit. - Click "Save All Answers" to save all answers. --- ### Explanation of Concepts The average translational kinetic energy of an ideal gas is given by the formula: \[ \frac{3}{2} k_B T \] where: - \( k_B \) is Boltzmann's constant \((1.38 \times 10^{-23} \, \text{J/K})\) - \( T \) is the temperature in Kelvin (K) For detailed solution and explanation of the answer, refer to the thermodynamics section of your textbook or consult your course materials. --- **Note:** There are no graphs or diagrams associated with this question that require explanation. --- ### Additional Resources: For further reading on kinetic theory and the properties of gases, visit: - [Kinetic Theory of Gases - Introduction](#) - [Understanding Boltzmann's Constant](#) - [Thermal Physics - Key Concepts](#) *Ensure you have a clear understanding of the key formulae and their applications in different contexts.*

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### Question 5

**What is the average translational kinetic energy of an ideal gas at 825 K? (The value of Boltzmann's constant is 1.38 x 10^-23 J/K.)**

- ○ 5.69 x 10^-21 J
- ○ 1.14 x 10^-17 J
- ○ 3.81 x 10^-19 J
- ○ 1.71 x 10^-20 J

---

**Instructions:**
- Click "Save and Submit" to save and submit.
- Click "Save All Answers" to save all answers.

---

### Explanation of Concepts

The average translational kinetic energy of an ideal gas is given by the formula:

\[ \frac{3}{2} k_B T \]

where:
- \( k_B \) is Boltzmann's constant \((1.38 \times 10^{-23} \, \text{J/K})\)
- \( T \) is the temperature in Kelvin (K)

For detailed solution and explanation of the answer, refer to the thermodynamics section of your textbook or consult your course materials.

---

**Note:**
There are no graphs or diagrams associated with this question that require explanation.

---

### Additional Resources:

For further reading on kinetic theory and the properties of gases, visit:
- [Kinetic Theory of Gases - Introduction](#)
- [Understanding Boltzmann's Constant](#)
- [Thermal Physics - Key Concepts](#) 

*Ensure you have a clear understanding of the key formulae and their applications in different contexts.*
Transcribed Image Text:### Question 5 **What is the average translational kinetic energy of an ideal gas at 825 K? (The value of Boltzmann's constant is 1.38 x 10^-23 J/K.)** - ○ 5.69 x 10^-21 J - ○ 1.14 x 10^-17 J - ○ 3.81 x 10^-19 J - ○ 1.71 x 10^-20 J --- **Instructions:** - Click "Save and Submit" to save and submit. - Click "Save All Answers" to save all answers. --- ### Explanation of Concepts The average translational kinetic energy of an ideal gas is given by the formula: \[ \frac{3}{2} k_B T \] where: - \( k_B \) is Boltzmann's constant \((1.38 \times 10^{-23} \, \text{J/K})\) - \( T \) is the temperature in Kelvin (K) For detailed solution and explanation of the answer, refer to the thermodynamics section of your textbook or consult your course materials. --- **Note:** There are no graphs or diagrams associated with this question that require explanation. --- ### Additional Resources: For further reading on kinetic theory and the properties of gases, visit: - [Kinetic Theory of Gases - Introduction](#) - [Understanding Boltzmann's Constant](#) - [Thermal Physics - Key Concepts](#) *Ensure you have a clear understanding of the key formulae and their applications in different contexts.*
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