Page 1 Kinetic Theory of Gases I Page 2 Kinetic Theory of Gases I Ideal Gas The number of molecules is large The average separation between molecules is large Molecules moves randomly Molecules obeys Newton’s Law Molecules collide elastically with each other and with the wall Consists of identical molecules Page 3 Kinetic Theory of Gases I Ideal Gas The number of molecules is large The average separation between molecules is large Molecules moves randomly Molecules obeys Newton’s Law Molecules collide elastically with each other and with the wall Consists of identical molecules The Ideal Gas Law PV ? nRT n: the number of moles in the ideal gas n ? N N A total number of molecules Avogadro’s number: the number of atoms, molecules, etc, in a mole of a substance: N A =6.02 x 10 23 /mol. R: the Gas Constant: R = 8.31 J/mol · K in K Page 4 Kinetic Theory of Gases I Ideal Gas The number of molecules is large The average separation between molecules is large Molecules moves randomly Molecules obeys Newton’s Law Molecules collide elastically with each other and with the wall Consists of identical molecules The Ideal Gas Law PV ? nRT n: the number of moles in the ideal gas n ? N N A total number of molecules Avogadro’s number: the number of atoms, molecules, etc, in a mole of a substance: N A =6.02 x 10 23 /mol. R: the Gas Constant: R = 8.31 J/mol · K in K Pressure and Temperature Pressure: Results from collisions of molecules on the surface P ? F A Pressure: Force Area Force: F ? dp dt Rate of momentum given to the surface Momentum: momentum given by each collision times the number of collisions in time dt Page 5 Kinetic Theory of Gases I Ideal Gas The number of molecules is large The average separation between molecules is large Molecules moves randomly Molecules obeys Newton’s Law Molecules collide elastically with each other and with the wall Consists of identical molecules The Ideal Gas Law PV ? nRT n: the number of moles in the ideal gas n ? N N A total number of molecules Avogadro’s number: the number of atoms, molecules, etc, in a mole of a substance: N A =6.02 x 10 23 /mol. R: the Gas Constant: R = 8.31 J/mol · K in K Pressure and Temperature Pressure: Results from collisions of molecules on the surface P ? F A Pressure: Force Area Force: F ? dp dt Rate of momentum given to the surface Momentum: momentum given by each collision times the number of collisions in time dt Only molecules moving toward the surface hit the surface. Assuming the surface is normal to the x axis, half the molecules of speed v x move toward the surface. Only those close enough to the surface hit it in time dt, those within the distance v x dt The number of collisions hitting an area A in time dt is 1 2 N V ?? ?? ?? ?? ? A ? v x ? dt The momentum given by each collision to the surface 2mv x Average densityRead More

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