Physical Chemistry Solutions s Partial Molar Quantities (1)different intermolecular forces ≠ (2)different packing of molecules V/cm V(H,O)/cm (different sizes and shapes of the 7550250 100 molecules being mixed 99 V=V(T,P,n12…,n) U=U(7,P,n1 (9.5) 98 The total differential of v 97 o dt+ T aP P. T 96 (9.6) 0255075100 o o dn,+…+ V(ethanol)/cm r/T P, nierPartial Molar Quantities Solutions 0 25 50 75 100 V (ethanol)/cm3 100 99 98 97 96 75 50 25 0 V (H2O)/cm3 V /cm3 * V  V (1) different intermolecular forces (2) different packing of molecules (different sizes and shapes of the molecules being mixed) ( , , , , ) ( , , , , ), 1 1 r r U U T P n n V V T P n n   = = (9.5) The total differential of V r T P n r T P n P n T n dn n V dn n V dP P V dT T V dV i i r i i             + +           +          +        = , , 1 1 , , , , 1  (9.6) Physical Chemistry