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All%20equations

All%20equations - List of Equations in Chapters 2-4 w...

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1 dT C ) T ( H dT C ) T ( H ) T ( H f pt pt 0 T T phase P pt trs T T phase P f 2 1 0 dT T C ) T ( S dT T C ) T ( S ) T ( S f pt pt 0 T T phase P pt trs T T phase P f 2 1 0 w = -P ex dV H = E + PV G = E + PV – TS = H - TS Under certain conditions, q = dH = C P dT Under certain conditions, q = dE = C V dT Ideal gas: pV = nRT and C P = C V + nR R = 8.314 J/(K mol) Molar properties: B m = B/n Three thermodynamic laws E = w + q and (dH) p = q + w add dS   q/T and (dG) p,T   w add S of any chemically homogeneous solid or liquid = 0 at T = 0 K If p = const and phase transition occurs , f pt pt T T phase pt pt trs T T phase f f dT T H T ) T ( G dT T H T ) T ( G T ) T ( G 2 2 2 1 0 0 0 dT ) ( ) ( pt2 pt1 T T 1 2 p trs pt trs pt trs C T H T H dT pt2 pt1 T T 1 2 T C ) T ( S ) T ( S p trs pt trs pt trs dT T H T ) T ( G T ) T ( G pt2 pt1 T T 2 trs 1 pt 1 pt trs 2 pt 2 pt trs P P 0 0 dp V G G 0 0 P P ln RT G G If T = const
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