The Redlich-Kwong equation of state (RK EOS) is: RT a V-b √TV (V + b) P = where P is the pressure, I the absolute temperature, and R the gas constant. The coefficients a and b are given in terms of Tc and Pc for the fluid, by a = 0.42748R² T 2.5/P and b = 0.08664R Tc/Pc You will find the values of V for which P = 9.46 bar (= 946kPa) at T=350K for n-butane,

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Done In Excel

The Redlich-Kwong equation of state (RK EOS) is:
P =
RT
a
V-b √TV (V + b)
where P is the pressure, I the absolute temperature, and R the gas constant. The coefficients
a and b are given in terms of Tc and Pc for the fluid, by
a = 0.42748R² T 2.5/P and b = 0.08664R Tc/Pc
You will find the values of V for which P = 9.46 bar (= 946kPa) at T=350K for n-butane,
which has Tc = 421.5K and Pc = 3796kPa. The smallest Vis the liquid phase, while the
largest is the vapor phase (the intermediate value is unstable).
a) From the RK EOS, what must be the dimensions of b? Verify that the formulas for a and
b are dimensionally consistent with the RK EOS. (Hint: from the ideal gas EOS, PV and
RT have the same dimensions.) With P in Pa and T in Kelvin, what are convenient units
for R, b, and V?
b) Plot P versus V, for V ranging from 0.0001 to 0.1 m^3/mol. Use a log scale for V.
Construct the V table to be equally spaced on a log scale, with 20 points per decade. To
do this, start with a table of log10 V values: -4, -3.95, ...-1. Compute and plot P in MPa.
Transcribed Image Text:The Redlich-Kwong equation of state (RK EOS) is: P = RT a V-b √TV (V + b) where P is the pressure, I the absolute temperature, and R the gas constant. The coefficients a and b are given in terms of Tc and Pc for the fluid, by a = 0.42748R² T 2.5/P and b = 0.08664R Tc/Pc You will find the values of V for which P = 9.46 bar (= 946kPa) at T=350K for n-butane, which has Tc = 421.5K and Pc = 3796kPa. The smallest Vis the liquid phase, while the largest is the vapor phase (the intermediate value is unstable). a) From the RK EOS, what must be the dimensions of b? Verify that the formulas for a and b are dimensionally consistent with the RK EOS. (Hint: from the ideal gas EOS, PV and RT have the same dimensions.) With P in Pa and T in Kelvin, what are convenient units for R, b, and V? b) Plot P versus V, for V ranging from 0.0001 to 0.1 m^3/mol. Use a log scale for V. Construct the V table to be equally spaced on a log scale, with 20 points per decade. To do this, start with a table of log10 V values: -4, -3.95, ...-1. Compute and plot P in MPa.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Fundamentals of Boolean Algebra and Digital Logics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education