According to kinetic theory, the molecules of ordinary matter are in constant random motion. The probability that a molecule has kinetic energy in a small interval [E, E + △E] is approximately (1/kT) e (E/kT), where T is the temperature (in kelvins) & k Boltzmann's constant. Commute the average kinetic energy Ē in terms of K & T, where                       ∞                 Ē = (1/kT) ∫           Ee (E/kT)dE                                                                                       ⁰

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.13P
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According to kinetic theory, the molecules of ordinary matter are in constant random motion. The probability that a molecule has kinetic energy in a small interval [E, E + △E] is approximately (1/kT) e (E/kT), where T is the temperature (in kelvins) & k Boltzmann's constant. Commute the average kinetic energy Ē in terms of K & T, where                       ∞ 

               Ē = (1/kT) ∫           Ee (E/kT)dE                                                                                       ⁰

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