The document contains 12 figures related to thermodynamic property relations. Figure 11-1 shows the derivative of a function representing slope. Figures 11-3 through 11-6 illustrate geometric representations of partial derivatives, total derivatives, and thermodynamic relations. Figures 11-8 through 11-10 depict Maxwell relations and properties like volume expansivity. Figures 11-13 through 11-17 show development of lines for constant enthalpy and entropy on temperature-pressure diagrams, and alternative process paths for evaluating changes in real gases.

1. CHAPTER
11
Thermodynamic
Property Relations

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FIGURE 11-1
The derivative of a
function at a
specified point
represents the slope
of the function at
that point.
11-1

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FIGURE 11-3
Geometric
representation of
partial derivative
(∂ Ζ /∂ χ )y.
11-2

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FIGURE 11-4
Geometric representation of
total derivative dz for a
function z (x, y).
11-3

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FIGURE 11-5
Geometric
representation of the
disturbance discussed in
Example 11–2.
11-4

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FIGURE 11-6
Demonstration of
the reciprocity
relation for the
function z + 2xy -
3y2z = 0.
11-5

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FIGURE 11-8
Maxwell relations are
extremely valuable in
thermodynamic analysis.
11-6

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FIGURE 11-9
The slope of the
saturation curve on
a P-T diagram is
constant at a
constant T or P.
11-7

9. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
FIGURE 11-10
The volume
expansivity (also called
the coefficient of
volumetric expansion)
is a measure of the
change in volume with
temperature at
constant pressure.
11-8

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FIGURE 11-13
The development of an
h = constant line on a
P-T diagram.
11-9

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FIGURE 11-14
Constant-enthalpy
lines of a substance
on a T-P diagram.
11-10

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FIGURE 11-16
An alternative
process path to
evaluate the
enthalpy changes of
real gases.
11-11

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FIGURE 11-17
An alternative
process path to
evaluate the entropy
changes of real
gases during process
1-2.
11-12