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

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 72PQ

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