Kinetic Energy and Temperature: We will construct the algebraic relationship between kinetic energy and temperature for a gas from the ideal gas law, PV=NkT where P = pressure, V = volume, N = number of particles, k is Boltzmann’s constant, and T is temperature. Recalling that pressure can be expressed as P=F/A,where F = force and A = area, rewrite the ideal gas law in terms of Newton’s Second Law of motion in order to relate kinetic energy to temperature using dimensional analysis. (HINT: keep in mind the definitions of the kinematic variables and . Assume there is temperature associated with the kinetic energy in each direction [x,y,z] of motion

Kinetic Energy and Temperature: We will construct the algebraic relationship between kinetic energy and temperature for a gas from the ideal gas law, PV=NkT where P = pressure, V = volume, N = number of particles, k is Boltzmann’s constant, and T is temperature. Recalling that pressure can be expressed as P=F/A,where F = force and A = area, rewrite the ideal gas law in terms of Newton’s Second Law of motion in order to relate kinetic energy to temperature using dimensional analysis. (HINT: keep in mind the definitions of the kinematic variables and . Assume there is temperature associated with the kinetic energy in each direction [x,y,z] of motion

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 31P

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