Using the data in the table, compute the pure component fugac- ty of nitrogen at 0°C, 25°C, and 50°C. Since the data are not equally spaced, use of the trapezoidal rule is suggested to perform the numeri- al integration

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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Exercise 4.7: Shown below are compressibility data for nitrogen:
Compressibility Factor, z
Pressure (alm)
0°C
25°C
50°C
1.000
1.000
1.000
10
0.996
0.998
1.000
50
0.985
0.996
1.004
100
0.984
1.004
1.018
200
1.036
1.057
1.072
300
1.134
1.146
1.154
400
1.256
1.254
1.253
600
1.524
1.495
1.471
800
1.798
1.723
1.697
Humerical Differentiation and Integration
97
a. The pure component fugacity of a substance can be computed from
In
dP
where z is the compressibility factor (PV IRT), P is the pressure, R is
the gas constant, T is the absolute temperature, and V is the specific
volume.
Using the data in the table, compute the pure component fugac-
ity of nitrogen at 0°C, 25°C, and 50°C. Since the data are not equally
spaced, use of the trapezoidal rule is suggested to perform the numeri-
cal integration.
Transcribed Image Text:Exercise 4.7: Shown below are compressibility data for nitrogen: Compressibility Factor, z Pressure (alm) 0°C 25°C 50°C 1.000 1.000 1.000 10 0.996 0.998 1.000 50 0.985 0.996 1.004 100 0.984 1.004 1.018 200 1.036 1.057 1.072 300 1.134 1.146 1.154 400 1.256 1.254 1.253 600 1.524 1.495 1.471 800 1.798 1.723 1.697 Humerical Differentiation and Integration 97 a. The pure component fugacity of a substance can be computed from In dP where z is the compressibility factor (PV IRT), P is the pressure, R is the gas constant, T is the absolute temperature, and V is the specific volume. Using the data in the table, compute the pure component fugac- ity of nitrogen at 0°C, 25°C, and 50°C. Since the data are not equally spaced, use of the trapezoidal rule is suggested to perform the numeri- cal integration.
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