I 1--1 What is the average kinetic energy of a molecule of oxygen gas (0₂) at 8 O 16.00 3. 5.061E-21 J D. 6.398E-21 J 5.041E-21 J 5.137E-21 J E. 4.368E-21 J F. 5.862E-21 J A. B. C. 1--1

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)...
icon
Related questions
Question
**Educational Website - Physics Section**

### Question on Average Kinetic Energy of Oxygen Molecules

#### Multiple Choice Question:
**What is the average kinetic energy of a molecule of oxygen gas (O₂) at a temperature of -25°C?**

##### Options:
- A. 5.061E-21 J
- B. 5.137E-21 J
- C. 4.368E-21 J
- D. 6.398E-21 J
- E. 5.041E-21 J
- F. 5.862E-21 J

#### Explanation:
The question seeks to determine the average kinetic energy of an oxygen molecule at a given temperature (-25°C). The kinetic energy \(E\) of a gas molecule at temperature \(T\) can be determined using the formula:

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

Where:
- \( k_B \) is the Boltzmann constant \((1.38 \times 10^{-23} \text{ J/K})\)
- \( T \) is the temperature in Kelvin

First, convert the temperature from Celsius to Kelvin:
\[ T(K) = T(°C) + 273.15 \]
\[ T = -25 + 273.15 = 248.15 \text{K} \]

Now, use the formula to calculate the average kinetic energy:
\[ E = \frac{3}{2} \times 1.38 \times 10^{-23} \text{ J/K} \times 248.15 \text{K} \]

Selecting the correct value from the provided options ensures a fundamental understanding of thermodynamic principles applied to molecular motion.

#### Diagram Analysis:
The diagram shows a block containing information about the oxygen molecule:
- The symbol \( \mathrm{O} \)
- Atomic number \( 8 \)
- Atomic mass \( 16.00 \)

This visual aids in confirming the properties of the oxygen molecule for the given problem.
Transcribed Image Text:**Educational Website - Physics Section** ### Question on Average Kinetic Energy of Oxygen Molecules #### Multiple Choice Question: **What is the average kinetic energy of a molecule of oxygen gas (O₂) at a temperature of -25°C?** ##### Options: - A. 5.061E-21 J - B. 5.137E-21 J - C. 4.368E-21 J - D. 6.398E-21 J - E. 5.041E-21 J - F. 5.862E-21 J #### Explanation: The question seeks to determine the average kinetic energy of an oxygen molecule at a given temperature (-25°C). The kinetic energy \(E\) of a gas molecule at temperature \(T\) can be determined using the formula: \[ E = \frac{3}{2} k_B T \] Where: - \( k_B \) is the Boltzmann constant \((1.38 \times 10^{-23} \text{ J/K})\) - \( T \) is the temperature in Kelvin First, convert the temperature from Celsius to Kelvin: \[ T(K) = T(°C) + 273.15 \] \[ T = -25 + 273.15 = 248.15 \text{K} \] Now, use the formula to calculate the average kinetic energy: \[ E = \frac{3}{2} \times 1.38 \times 10^{-23} \text{ J/K} \times 248.15 \text{K} \] Selecting the correct value from the provided options ensures a fundamental understanding of thermodynamic principles applied to molecular motion. #### Diagram Analysis: The diagram shows a block containing information about the oxygen molecule: - The symbol \( \mathrm{O} \) - Atomic number \( 8 \) - Atomic mass \( 16.00 \) This visual aids in confirming the properties of the oxygen molecule for the given problem.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
First law of thermodynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON