### 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.*
### 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.*
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8689a897-6f19-4f8c-bce2-bc1e854b9491%2F793257b0-d0a5-475e-8844-6887771ea7d4%2Fqfn82om.jpeg&w=3840&q=75)
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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