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Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted (v2), is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. Express the pressure in terms of the absolute temperature T, the volume of the container V (where V=L₂LyLz), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer.

Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted (v2), is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. Express the pressure in terms of the absolute temperature T, the volume of the container V (where V=L₂LyLz), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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I only need help with part b

The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure Lx 1 of 1 Part B Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted (v²), is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. Express the pressure in terms of the absolute temperature T, the volume of the container V (where V = L₂LyLz), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer. ▸ View Available Hint(s) p= [Π ΑΣΦ Submit ?
Transcribed Image Text:The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure Lx 1 of 1 Part B Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted (v²), is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. Express the pressure in terms of the absolute temperature T, the volume of the container V (where V = L₂LyLz), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer. ▸ View Available Hint(s) p= [Π ΑΣΦ Submit ?
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure L₂ Lx 1 of 1 Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. Express the magnitude of the average force in terms of m, vr, and L₂. ► View Available Hint(s) Submit Part B IVE ΑΣΦ ? Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities. but their average x velocity squared. denoted
Transcribed Image Text:The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure L₂ Lx 1 of 1 Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. Express the magnitude of the average force in terms of m, vr, and L₂. ► View Available Hint(s) Submit Part B IVE ΑΣΦ ? Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities. but their average x velocity squared. denoted
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