*This preview shows
page 1. Sign up
to
view the full content.*

**Unformatted text preview: **enthalpies, internal energies, and entropies:
V 1 = æ ¹V ö
; H 1 = æ ¹H ö
; etc..
ç ¹n ÷
ç ¹n ÷
è 1 ø P,T,,n 2,...
è 1 ø P,T,,n 2,...
Because of their great importance in the thermodynamics of solutions, we discuss
partial molar volumes and partial molar free energies further.
Partial Molar Volume:
The total volume of a solution of, say, two miscible liquids is given by
V = n1 V1 + n 2V2. (5.33) The units of partial molar volumes are the same as molar volumes. The
relationship between the two, i.e., partial molar volume and the molar volume is a
subtle but important one.
In the case of ideal solutions, the partial molar volume of each component will
be identical to the molar volume of the pure substance in the absence of the
other component. However, in the case of non-ideal solutions, the presence of the second
component has a measurable influence on the molar volume of the first
component and vice versa. Therefore, in general,
V 1 ! V and V 2 ! V
2
1 The standard state for defining partial molar quantiti...

View
Full
Document