Physical Chemistry Solutions tHermodynamic Properties of Ideal Solutions Mixing Quantities △nCG=A1-A=R∑ n In x. consi.T,P(94) Since 0<x<1 We have nx.<0 △G<0 mux (941) An irreversible(spontaneous) process at constant T, P 0△G aT (9.35 P, n Taking aT of(944) △nS=-R∑ n, Inx, ideal solution, const,T,P(946)
Thermodynamic Properties of Ideal Solutions Solutions We have 0 xi 1 (9.41) Mixing Quantities ideal solution, const. T, P = − i mix i i S R n ln x (9.46) An irreversible (spontaneous) process at constant T, P. G RT n x const T P (9.44) i mix i i i i ln . , * = − = Since ln xi 0 mixG 0 P ni mix mix T G S , = − (9.35) Taking of (9.44) T Physical Chemistry
Physical Chemistry Solutions tHermodynamic Properties of Ideal Solutions Mixing Quantities △mnS=-R∑ n, nxi ideal solution, const. T,P(946) 0<x.<1 In x <0 △S>0 Ami S=-nrhxa-nRhn xb Perf. gases, const T, P(3.33) △mG=△maH-T2m2S △nG=A1-A=R∑ n In x. const.T,P(944 Amis h=o ideal solution, const. T, P(9.47) There is no heat of mixing on formation of an ideal solution at constant t and p
Thermodynamic Properties of Ideal Solutions Solutions Mixing Quantities ideal solution, const. T, P = − i mix i i S R n ln x (9.46) 0 xi 1 ln xi 0 mixS 0 mixS = −na Rln xa − nb Rln xb Perf. gases, const. T, P (3.33) mixG = mixH −TmixS G RT n x const T P (9.44) i mix i i i i ln . , * = − = mixH = 0 ideal solution, const. T, P (9.47) There is no heat of mixing on formation of an ideal solution at constant T and P. Physical Chemistry
Physical Chemistry Solutions tHermodynamic Properties of Ideal Solutions Mixing Quantities △H=△U+P△T mx △=0 ideal solution, const. T,P(9.45) △H=0 ideal solution, const. T, P(9.47) J=0 mux ideal solution const. T. P
Thermodynamic Properties of Ideal Solutions Solutions Mixing Quantities mixH = mixU + PmixV mixH = 0 ideal solution, const. T, P (9.47) mixV = 0 ideal solution, const. T, P (9.45) mixU = 0 ideal solution, const. T, P Physical Chemistry
Physical Chemistry Solutions tHermodynamic Properties of Ideal Solutions Mixing Quantities in Summary For an idealsolution const. T. P △T=0 olume of mixing (945) Amir H=o Enthalpy of mixing (947) Amis U=o Intemalenergyof miring △S>0 Entropy of mining Amis G<0 gibbs energyof mining (941)
Thermodynamic Properties of Ideal Solutions Solutions Mixing Quantities in Summary For an ideal solution, const. T, P Physical Chemistry mixV = 0 Volume of mixing (9.45) mixH = 0 Enthalpy of mixing (9.47) mixU = 0 Internal energy of mixing mixS 0 Entropy of mixing mixG 0 Gibbs energy of mixing (9.41)