Maxwell velocity distribution. Consider an ideal gas that obeys a Maxwell velocity distribution.Each particle has mass m.(a) Calculate the expected kinetic energy of a gas molecule using the Maxwell distribution.Could you have calculated the expected value another way?(b) Is your answer to part (a) equal to (i)mc² , (ii)mums , (ii) ;mup, none of these.Recall C is the average speed,Urms is the root-mean-square speed, and Ump is the mostprobable speed. Show your work.(c) If the temperature is held constant, but the mass m of each particle is increased bya factor of 4, by how much does your answer to (a) change? By how much does Cchange?

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Maxwell velocity distribution. Consider an ideal gas that obeys a Maxwell velocity distribution. Each particle has mass m. (a) Calculate the expected kinetic energy of a gas molecule using the Maxwell distribution. Could you have calculated the expected value another way? (b) Is your answer to part (a) equal to (i) mč² , (i) mužms , (i) mup, none of these. Recall C is the average speed,Urms is the root-mean-square speed, and Ump is the most probable speed. Show your work. (c) If the temperature is held constant, but the mass m of each particle is increased by a factor of 4, by how much does your answer to (a) change? By how much does C change?

Maxwell velocity distribution. Consider an ideal gas that obeys a Maxwell velocity distribution. Each particle has mass m. (a) Calculate the expected kinetic energy of a gas molecule using the Maxwell distribution. Could you have calculated the expected value another way? (b) Is your answer to part (a) equal to (i) mč² , (i) mužms , (i) mup, none of these. Recall C is the average speed,Urms is the root-mean-square speed, and Ump is the most probable speed. Show your work. (c) If the temperature is held constant, but the mass m of each particle is increased by a factor of 4, by how much does your answer to (a) change? By how much does C change?

College Physics

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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)...

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Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

Maxwell velocity distribution. Consider an ideal gas that obeys a Maxwell velocity distribution.
Each particle has mass m.
(a) Calculate the expected kinetic energy of a gas molecule using the Maxwell distribution.
Could you have calculated the expected value another way?
(b) Is your answer to part (a) equal to (i)mc² , (ii)mums , (ii) ;mup, none of these.
Recall C is the average speed,Urms is the root-mean-square speed, and Ump is the most
probable speed. Show your work.
(c) If the temperature is held constant, but the mass m of each particle is increased by
a factor of 4, by how much does your answer to (a) change? By how much does C
change?

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