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formulasheet1 - of freedom and n = pN Ideal Gas Law: PV =...

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PHYS4125  Fall 2011 Exam 1 (Schroeder Ch. 1 – 2) Formulas and Constants Equipartition Theorem:  U thermal  =  N f  ½  k B T 1 st  Law of Thermodynamics:  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 / 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:   N ,q = q N 1 ! q ! N 1 ! Stirling's Approximation:  ln N ! ≈ Nln N − N
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Gaussian Distribution: P N n = 1 2  e −[ n n 2 / 2 2 ]  where  = Npr or  more generally  = 2 fN U for systems with only quadratic degrees 
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Unformatted text preview: of freedom and n = pN Ideal Gas Law: PV = nRT = Nk B T Reference Data: k B = 1.3807 x 10-23 J/K = 8.617 x 10-5 eV / K N A = 6.022 x 10 23 R = 8.315 J/mol K h = 6.626 x 10-34 J s = 4.136 x 10-15 eV s c = 2.998 x 10 8 m/s G = 6.673 x 10-11 Nm 2 /kg 2 e = 1.602 x 10-19 C m e = 9.109 x 10-31 kg m p = 1.673 x 10-27 kg Unit Conversions: 1atm = 1.013 bar = 1.013 x 10 5 Pa = 14.7 lb / in 2 = 760 mm Hg ( T in o C) = ( T in K) 273.15 ( T in o F) = 9/5 ( T in o C) + 32 1 o R = 5/9 K 1 cal = 4.186 J 1 Btu = 1054 J 1 eV = 1.602x 10-19 J 1 u = 1.661 x 10-27 kg...
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formulasheet1 - of freedom and n = pN Ideal Gas Law: PV =...

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