How were the points determined on the isotherms? Read the underlined sentence
How were the points determined on the isotherms? Read the underlined sentence
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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How were the points determined on the isotherms? Read the underlined sentence.
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8.5c Enthalpy-Concentration Charts-Single Liquid Phase
Energy balance calculations on liquid-phase systems involving mixtures can be cumbersome
when heats of mixing are significant. The calculations can be simplified for binary (two-
component) systems by using an enthalpy-concentration chart, a plot of specific enthalpy
versus mole fraction (or mole percent) or mass fraction (or weight percent) of one component. An
Ĥ-x chart for aqueous solutions of sulfuric acid at several temperatures is shown in Figure 8.5-1.
The reference conditions for the plotted enthalpies are pure liquid H₂SO4 at 77°F and liquid water
at 32°F.
Ĥ(Btu/lb solution)
The points on the isotherms of Figure 8.5-1 were determined using the procedure outlined in
the last section. Suppose, for example, you wish to calculate the specific enthalpy (Btu/lbm) of a
40 wt% sulfuric acid solution at 120°F. If you know the heat of mixing of sulfuric acid at 77°F, the
process path you would follow would be to bring pure liquid water from its reference temperature
of 32°F to 77°F (the sulfuric acid starts at 77°F and so does not require this step), mix the two
liquids at 77°F, bring the product solution to 120°F, and calculate and add the enthalpy changes
for each of these steps.
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8.5c Enthalpy-Concentration Charts-Single Liquid Phase
Energy balance calculations on liquid-phase systems involving mixtures can be cumbersome
when heats of mixing are significant. The calculations can be simplified for binary (two-
component) systems by using an enthalpy-concentration chart, a plot of specific enthalpy
versus mole fraction (or mole percent) or mass fraction (or weight percent) of one component. An
Ĥ-x chart for aqueous solutions of sulfuric acid at several temperatures is shown in Figure 8.5-1.
The reference conditions for the plotted enthalpies are pure liquid H₂SO4 at 77°F and liquid water
at 32°F.
Ĥ(Btu/lb solution)
The points on the isotherms of Figure 8.5-1 were determined using the procedure outlined in
the last section. Suppose, for example, you wish to calculate the specific enthalpy (Btu/lbm) of a
40 wt% sulfuric acid solution at 120°F. If you know the heat of mixing of sulfuric acid at 77°F, the
process path you would follow would be to bring pure liquid water from its reference temperature
of 32°F to 77°F (the sulfuric acid starts at 77°F and so does not require this step), mix the two
liquids at 77°F, bring the product solution to 120°F, and calculate and add the enthalpy changes
for each of these steps.
140
120
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60
40
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20
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0
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(Btu/lb solution)
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140
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0
-20
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FIGURE 8.5-1 Enthalpy-concentration
Chem. Eng. Progr., 43:314, 1952.)
32°F
60
100
40
CD
140
120
200°F
180
160
Freezing line
0.30 0.40 0.50 0.60 0.70
Mass fraction of H₂SO4
chart for H₂SO4-H₂O. (Redrawn from the data of W. D. Ross,
0.80
0.90 1.00
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(Btu/lb solution)
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140
120
100
80
60
40
20
0
-20
-40
-60
-80
-100
-120
-140
467 of 695
0 0.10 0.20
FIGURE 8.5-1 Enthalpy-concentration
Chem. Eng. Progr., 43:314, 1952.)
32°F
60
100
40
CD
140
120
200°F
180
160
Freezing line
0.30 0.40 0.50 0.60 0.70
Mass fraction of H₂SO4
chart for H₂SO4-H₂O. (Redrawn from the data of W. D. Ross,
0.80
0.90 1.00
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