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formulasheet1 - PHYS4125 Fall 2006 Exam 1(Schroeder Ch 1 2...

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PHYS4125 Fall 2006 Exam 1 (Schroeder Ch. 1 – 2) Formulas and Constants Equipartition Theorem: U thermal = N f ½ k B T 1 st Law of Thermodynamics: Δ U = Q + W Compressive Work: W V o V f P V dV Adiabatic Processes: PV γ = constant; VT f /2 = constant; γ = ( f +2) / f Heat Capacity: C = Q / Δ T or C Q T at constant V or P . Enthalpy: H = U + PV Heat Conduction: Q t k t A dT dx k t 1 2 C V V l v Mean Free Path: l 1 4 r 2 V N RMS velocity: v rms = (3 k B T / m ) 1/2 Scattering time: t l v rms Viscosity: F x A du x dz Diffusion, Fick's Law: J x D dn dx Binomial Distribution: P N n N ! n ! N n ! p n r N n and N , n N ! n ! N n ! Einstein Solid:
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