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Thermodynamics cheat sheet, Cheat Sheet of Thermodynamics

Northeastern University (NU)Thermodynamics

Thermo cheat sheet.This course aims to connect the principles, concepts, and laws/postulates of classical and statistical thermodynamics to applications that require quantitative knowledge of thermodynamic properties from a macroscopic to a molecular level

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2017/2018
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Ideal gas Gas equation: pv = nRT = NkgT. Internal energy U=nCyT. Speed of molecule: v = wee Capacities: Cp = Cy + R, Ratio: y = oe. Vv Molar heat capacities General: Cy = 5R- (## degrees of freedom). Monoatomic: Cy = 3R. Diatomic: Cy = 3R. Thermodynamic process B First law. AU =Q—-—W. Work: Wa.p = | B pdV. Entropy. as = | aQ A a T Special processes Isochoric Isobaric Isothermal Adiabatic Definition AV =0 AP=0 AT =0 Q=0 Ideal gas pV =nRT pV =nRT pV =nRT pV =nRT, pV = const Work WwW =0 W = p(V2—-Vi) | W=nRTIn® | W =nCy(T, -T2) = Toy (P2V2 — pV) Heat Q=nCyAT Q =nCpAT Q=Ww Q=0 Internal E AU=Q AU=Q-W AU =0 AU = —W Entropy | AS = nCy In zm AS =nCpin 7 AS =nRin v AS=0 Constants Gas: R = 8.31J/K.mol, Boltzmann: kg = 1.38 x 10-7°J/K, Avogadro: N4 = 6.02 x 107°/mol. Stefan-Boltzmann: o = 5.67 x 10-8 W/m2.K4.