Consider nitrogen gas in a container at temperature T= 225 K. A molecule's average kinetic energy is Kye momentum magnitude p of a nitrogen molecule having this kinetic energy. kB T. Calculate the The momentum magnitude p of the nitrogen molecule is kg m/s.

Consider nitrogen gas in a container at temperature T= 225 K. A molecule's average kinetic energy is Kye momentum magnitude p of a nitrogen molecule having this kinetic energy. kB T. Calculate the The momentum magnitude p of the nitrogen molecule is kg m/s.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter13: Temperature, Kinetic Theory, And The Gas Laws

Section: Chapter Questions

Problem 27PE: In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is...

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Concept explainers

Kinetic Theory of Gas

The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.

P-V Diagram

A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.

Question

Consider nitrogen gas in a container at temperature T= 225 K. A molecule's average kinetic energy is Kayg = kRT. Calculate the
momentum magnitude p of a nitrogen molecule having this kinetic energy.
The momentum magnitude p of the nitrogen molecule is
kg · m/s .
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