Suppose that a 1.00 cm' box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.00 × 10 g. The particle is initially moving perpendic- ular to one of the walls of the box at a speed of 400 m/s. Assume that the collisions of the particle with the walls are elastic. (a) Find the mass density inside the box. (b) Find the average pressure on the walls perpendi- cular to the particle's path. (c) Find the average pressure on the other walls. (d) Find the temperature inside the box. Discuss the as- sumption of elastic collisions, in light of this result.
Suppose that a 1.00 cm' box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.00 × 10 g. The particle is initially moving perpendic- ular to one of the walls of the box at a speed of 400 m/s. Assume that the collisions of the particle with the walls are elastic. (a) Find the mass density inside the box. (b) Find the average pressure on the walls perpendi- cular to the particle's path. (c) Find the average pressure on the other walls. (d) Find the temperature inside the box. Discuss the as- sumption of elastic collisions, in light of this result.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter20: Kinetic Theory Of Gases
Section: Chapter Questions
Problem 57PQ: Consider again the box and particles with the speed distribution described in Problem 56. a. What is...
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Suppose that a 1.00 cm' box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.00 × 10 g. The particle is initially moving perpendic- ular to one of the walls of the box at a speed of 400 m/s. Assume that the collisions of the particle with the walls are elastic. (a) Find the mass density inside the box. (b) Find the average pressure on the walls perpendi- cular to the particle's path. (c) Find the average pressure on the other walls. (d) Find the temperature inside the box. Discuss the as- sumption of elastic collisions, in light of this result.
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