Gases
Evaluating Volumetric and Other Thermodynamic Properties by Means of Cubic Equations of State JCE
Baudilio Coto, ESCET, Rey Juan Carlos University
Immaculada Suárez, ESCET, Rey Juan Carlos University
In this document students use Maple to determine volumetric properties and compare values obtained from the ideal gas and the Soave (SRK) equations of state. Several aspects of the calculation as the effect of pressure, the lowest available volume, the number of roots, and the relation between volumen and compresibility factor are analyzed.
Ideal Gas Law - Intro to Mathcad
George L. Hardgrove, St. Olaf College
This Mathcad document introduces students to Mathcad and gives them practice with the software by using the Ideal Gas Law.
Intermolecular Potentials and The Second Virial Coefficient JCE
Patrick L. Holt, Bellarmine University
A worksheet for exploring the relationship between intermolecular potentials and the second virial coefficient using the hard sphere, square-well, and Lennard-Jones potentials. Students can compute the second virial coefficient and explore the coefficient?s temperature dependence for several substances and use a computed B value to investigate the temperature dependence of the compression factor, Z.
Real Gases: Defining the Standard State and Quantifying Deviations from Ideality
Theresa Julia Zielinski, Monmouth University
Joseph H. Noggle (1936 - 1998), Monmouth University
This document has four parts. In part 1 is an exploration of the PV behavior of gases using the Redlich-Kwong equation. Part 2 determines the energy required to raise the temperature of a sample of a gas and also explores the mathematical definition of the standard state the imperfection concept to account for real properties of a gas. In part 3 is the calculation of the temperature drop and the Joule-Thomson inversion temperature for the expansion of a SO2 gas.
van der Waals and Redlich Kwong: Fitting Two Parameter Equations to Gas Data
Theresa Julia Zielinski, Monmouth University
The Mathcad document given here is a highly annotated application of non-linear curve fitting for determining the a and b parameters for the van der Waals and Redlich-Kwong equations. The document goes through the development of the sum of squares of deviations SSD, applies the Levenberg-Marquradt to minimize the SSD and then uses the F-test to determine the equation that best represents the data. The determination of the standard deviation of the fitting parameters is done through the explicit construction and inversion of the Hessian matrix.