Lecture_23

# Lecture_23 - Moving a speed v. Collides elastically with...

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Gases

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Molecules and Gas Made of many identical molecules (or single atoms) Statistics allow us to apply Newton's Laws to all of them. mass of a single atom = atomic mass N A Number of molecules in 12g of Carbon – 6.02e23
Experimental Results V N , fixed P and T Avogadro PV = const., fixed T Boyle Δ V ∝Δ T , fixed P Charles Δ P ∝Δ T , fixed V Gay Lussac

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Ideal Gas Law Combine all experimental results: PV = n RT Number of moles 8.31 J mol K PV = N k B T Number of molecules N = n N A Boltzmann's Constant Universal Gas Constant k B = R N A = 1.38 × 10 23 J / K
Newton's Laws and Ideal Gases Use an example molecule

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Unformatted text preview: Moving a speed v. Collides elastically with wall. Experiences impulse F single = 2 m v Δ t Newton's Laws and Ideal Gases Total force on a wall in a time interval depends on how many molecules hit the wall in that time. Assumes all molecules have the same speed N hit the wall = N tot 6 L v Δ t × v Δ t L Newton's Laws and Ideal Gases F tot = ( 2 m v Δ t )( N 6 × v Δ t L ) = N mv 2 3 L P = F tot A = N m v 2 3 L A , L A = V PV = N m v 2 3 = N k B T KE = 3 2 k B T...
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## This note was uploaded on 12/07/2011 for the course PHYS 220 taught by Professor Chang during the Fall '09 term at Purdue.

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Lecture_23 - Moving a speed v. Collides elastically with...

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