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For question 1 to 3, derive the following relationships by strict logical deduction from the set of axioms. In each exercise, the links to the various axioms should be explicitly quoted except where a result is taken from the answer to a previous question, or where a line of reasoning is closely parallel to that of the previous question, in which case simply quote the previous result. QUESTION 1 For a closed system: a) dinG) = (NV)dP - (nS)dT b) dH = VIP + TDS c) dA = -PdV-SAT av d) os lap) e) dG = VdP - SidT QUESTION 2 For an open system: (anH)) (ə(n) a) d(AG)=(xVdP-(nSdT+Zu,da, (b) an, ).s.Prony дп T.P.) (ди, ). Comemorar (a(nv) (d) = ӘР an T.Pon, i T. c) d(nH)=(nv)dP+Td(1S)+Ewidn, e) d(14G)= (n4V)dP - (MAS)d7 +Z/G, -6, Jin, QUESTION 3 For a closed system: a) dG = -5dT + VidP b) dŪ; = Td5; – Pdū; = QUESTION 4 The molar enthalpy (kJ/mol) of a 2-component liquid mixture at T and P is given by: H = 120x} + 70x2 + (15x1 + 8x2)x X2 a) Determine expressions for H1, H2, 7, and Ā, b) Show that the expressions that you derive satisfy the Gibbs-Duhem theorem c) Show that your expressions satisfy the summability relationship d) Determine 7 and 7 %
All For question 1 to 3, derive the following relationships by strict logical deduction from the set of axioms. In each exer
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