equations

equations - Name:_ Useful Equations Partial derivatives:...

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Name:________________________ 9 Useful Equations Partial derivatives: For function Z = Z ( x , y ), y x ZZ dZ dx dy xy ∂∂ ⎛⎞ =+ ⎜⎟ ⎝⎠ , y x y x yx ⎡⎤ = ⎢⎥ ⎣⎦ First Law of Thermodynamics dE = dq + dw closed system H = E + PV dw = -P ex dV ( ) ( ) tan o oo ff products reac ts Hn H n H ∆= ∑∑ Similar relations apply for D G and S . Ideal gas: PV = nRT C p = C v + nR v dE C dT = Second Law of Thermodynamics rev dq dS T = dS tot = dS sys + dS surr >0 for spontaneous processes At constant T (this can be used to calculate dependence of S on pressure):
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