Prévia do material em texto
R = 0, 082 atmLK−1mol−1 = 8, 314 JK−1mol−1 = 1, 987 calK−1mol−1 kB = 1, 38×10 −23 JK−1 NA = 6, 02× 10 23mol−1 g = 9, 81m s−2 h = 6, 62× 10−34J s F = 96500Cmol−1 1 atm = 101325Pa = 760mmHg 1 bar = 100000Pa t(oC) = T (K)− 273, 15 1 atmL = 101, 325Pam3 = 101, 325 J = 24, 23 cal 1 cal = 4, 184 J 1 J = 1× 107erg 1 Å = 1× 10−10m 1N = 1× 105dina 1N = 1 kgm s−2 1 J = 1VC z = V Videal z = z(P, T ) PV = znRT [ PvdW + a ( n V )2 ] (V − nb) = nRT π = P PC θ = T TC φ = V VC z = PCVC RTC πφ θ = zC πφ θ αP = 1 V ( ∂V ∂T ) P κT = − 1 V ( ∂V ∂P ) T γV = ( ∂P ∂T ) V dU = d−q + d−w d−wexp = −PextdV d −qX = CXdT dS ≥ d−q T ∆Suniv = ∆Ssis+∆SME H = U +PV A = U −TS G = H−TS ( ∂H ∂T ) P = CP ( ∂U ∂T ) V = CV γ = CP CV C idP = C id V +R = L R 2 +R Adiab.revers. ( V2 V1 )γ−1 = T1 T2 ( P2 P1 ) γ−1 γ = T2 T1 P1V γ 1 = P2V γ 2 Z(X, Y ) ↔ dZ = ( ∂Z ∂X ) dX+ ( ∂Z ∂Y ) dY U(S, V ) H(S, P ) A(T, V ) G(T, P ) Z = Z(T, P, λ) ⇒ dZ = ( ∂Z ∂T ) P,λ dT + ( ∂Z ∂P ) T,λ dP + ( ∂Z ∂λ ) P,T dλ dni νi = dλ ⇒ ∆ZReação = ( ∂Z ∂λ ) P,T = ∑ i νiZ̃i ∂ ( G T ) ∂T = − H T 2 ( ∂U ∂V ) T = T 2 ∂ ( P T ) ∂T dU = TdS − PdV + ∑ k µkdnk µk = ( ∂U ∂nk ) S,V,nj = ( ∂H ∂nk ) S,P,nj = ( ∂G ∂nk ) P,T,nj = ( ∂A ∂nk ) V,T,nj ∑ k nkdµk,P,T = 0 L = C + 2− φ µk = µ 0 k +RT ln ak dµ = −SdT + V dP dP dT = ∆S ∆V ln P2 P1 = − ∆H R ( 1 T2 − 1 T1 ) lnP = 10.6 ( 1− Teb T ) ∆rG = ( ∂G ∂λ ) T,P = ∑ i νiµi ∆rG = ∆rG O +RT lnQ K = e− ∆G0 RT ln K2 K1 = − ∆H 0 R ( 1 T2 − 1 T1 ) KP = KC (RT ) ∆ν = KxP ∆ν = Kn ( P ntot )∆ν