Homework Help is Here – Start Your Trial Now!
Science
Physics
A key result from the kinetic theory of ideal gases is a calculation of the pressure of the gas in terms of the average kinetic energy of translation indicates the average value. As we will learn, particles in a gas have a range of velocities, so angle brackets indicate an average over the different velocities The result from kinetic theory expresses the pressure p in terms of the average kinetic energy of each particle, the number of particles , and the volume V of the gas. 2 N (KEtrans> Now for the Question: A room is filled with an ideal gas at a temperature T= 362 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 8 m x 8 m x 7 m. Note that 1 atm = 1.013 x 10° Pa, where a pascal (Pa) is a Nm (Newton, not number, per meter squared). Calculate the total translational energy, Utrans, of the N molecules in the room, where Utrans = N

A key result from the kinetic theory of ideal gases is a calculation of the pressure of the gas in terms of the average kinetic energy of translation indicates the average value. As we will learn, particles in a gas have a range of velocities, so angle brackets indicate an average over the different velocities The result from kinetic theory expresses the pressure p in terms of the average kinetic energy of each particle, the number of particles , and the volume V of the gas. 2 N (KEtrans> Now for the Question: A room is filled with an ideal gas at a temperature T= 362 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 8 m x 8 m x 7 m. Note that 1 atm = 1.013 x 10° Pa, where a pascal (Pa) is a Nm (Newton, not number, per meter squared). Calculate the total translational energy, Utrans, of the N molecules in the room, where Utrans = N

College Physics
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)...
See similar textbooks
icon
Related questions
Question
QUESTION 1 A key result from the kinetic theory of ideal gases is a calculation of the pressure of the gas in terms of the average kinetic energy of translation <KEtrans of each particle in the gas. I use the word "particle" to mean an atom if the gas consists of distinct atoms, or molecule if the gas consists of molecules. The kinetic energy of translation is just given by KEtrans which is the kinetic energy of motion as particles translate from place to place in the gas. Note that there are other kinds of kinetic energies, for example, of rotations and vibrations. If I place angle brackets around the kinetic energy, then <KEtrans> indicates the average value. As we will learn, particles in a gas have a range of velocities, so angle brackets indicate an average over the different velocities. The result from kinetic theory expresses the pressure p in terms of the average kinetic energy <KEtrans of each particle, the number of particles N, and the volume V of the gas. 2 N P-KErans> Now for the Question: A room is filled with an ideal gas at a temperature T= 362 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 8 m x 8 m x 7 m. Note that 1 atm = 1.013 x 10° Pa, where a pascal (Pa) is aNm (Newton, not number, per meter squared). Calculate the total translational energy, Utrans, of the N molecules in the room, where Utrans = N <KEtrans. Include the standard abbreviation for the appropriate SI units in your answer. Write your answer in the standard exponential form as described in instructions to the worksheet. QUESTION 2 A room is filled with an ideal gas at a temperature T= 407 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 3 mx 2 mx 5 m. Click Save and Submit to sae and submit. Click Save All ARswers to save all answers. 23°F P Type here to search
Transcribed Image Text:QUESTION 1 A key result from the kinetic theory of ideal gases is a calculation of the pressure of the gas in terms of the average kinetic energy of translation <KEtrans of each particle in the gas. I use the word "particle" to mean an atom if the gas consists of distinct atoms, or molecule if the gas consists of molecules. The kinetic energy of translation is just given by KEtrans which is the kinetic energy of motion as particles translate from place to place in the gas. Note that there are other kinds of kinetic energies, for example, of rotations and vibrations. If I place angle brackets around the kinetic energy, then <KEtrans> indicates the average value. As we will learn, particles in a gas have a range of velocities, so angle brackets indicate an average over the different velocities. The result from kinetic theory expresses the pressure p in terms of the average kinetic energy <KEtrans of each particle, the number of particles N, and the volume V of the gas. 2 N P-KErans> Now for the Question: A room is filled with an ideal gas at a temperature T= 362 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 8 m x 8 m x 7 m. Note that 1 atm = 1.013 x 10° Pa, where a pascal (Pa) is aNm (Newton, not number, per meter squared). Calculate the total translational energy, Utrans, of the N molecules in the room, where Utrans = N <KEtrans. Include the standard abbreviation for the appropriate SI units in your answer. Write your answer in the standard exponential form as described in instructions to the worksheet. QUESTION 2 A room is filled with an ideal gas at a temperature T= 407 K and pressure p = 2 atmospheres (abbreviated atm). The dimensions of the room are 3 mx 2 mx 5 m. Click Save and Submit to sae and submit. Click Save All ARswers to save all answers. 23°F P Type here to search
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Kinetic theory of gas
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
SEE MORE TEXTBOOKS