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|01.2 Molecular Nature of Temperature, Pressure, and Energy||Click here.||84.4444||9||
Intermolecular Potential Energy (msu.edu) (7:11)
The intermolecular potential energy is distinct from the gravitational potential energy of the center of mass. Further, understanding of the potential energy relation with intermolecular force is important.
1. Molecules A and B can be represented by the square-well potential. For molecule A, σ = 0.2 nm and ε = 30e-22 J. For molecule B, σ = 0.35 nm and ε = 20e-22 J. Sketch the potential models for the two molecules on the same pair of axes clearly indicating σ's and ε's of each species. Start your x-axis at zero and scale your drawing properly. Make molecule A a solid line and B a dashed line. Which molecule would you expect to have the higher boiling temperature? (Hint: check out Figure 1.2.)
2. The potential, u(r), represents the work of bringing two molecules together from infinite distance to distance r. So, what is the force law between two molecules according to the Lennard-Jones potential model? Hint: W=∫F*dx
3. Sketch the potential and the force between two molecules vs. dimensionless distance, r/σ, according to the Lennard-Jones potential. Considering the value of r/σ when the force is equal to zero, is it greater, equal, or less than unity?
|07.06 Solving The Cubic EOS for Z||Click here.||83.33329999999999||6||
3. Using Preos.xlsx and Interpreting Output (11:38) (msu.edu)
1. Is it possible to have a 1-root region below the critical temperature?
2. Is it possible to have a 3-root region above the critical temperature?
3. How does fugacity help us to identify the proper root to select?
4. Would argon at 5 MPa be in the 1-root or 3-root region?
|13.05 - UNIFAC||Click here.||80||5||
Unifac.xls Calculation of Bubble Temperature. (3 min) (LearnChemE.com)
|10.01 - Introduction to Phase Diagrams||Click here.||80||4||
Bubble, Dew, Flash Concepts and the Lever Rule (4:01) (msu.edu)
Understanding what is present (known) and not present (unkown) for a given state of a system will help you decide which routine to use. Notation is introduced for liquids, vapor, and overall compositions. Also, the lever rule concept is used throughout the chemical engineering curriculum, but it is important to see how to use compositions for the lever rule.
1. Which variables are fixed and which do you need to find in each of the following:
|14.04 LLE Using Activities||Click here.||80||1||
This sample calculation for methanol+benzene shows how to quickly generate the Tx binodal in Excel (uakron, 11min) using the Margules Acid-Base (MAB) model and the Excel iteration feature.(10min, uakron.edu) You generally need to start manually by setting the initial guess for the dilute component in each phase equal to the reciprocal of its infinite dilution activity coefficient. After a couple of iterations, you can set the "guess" cell equal to the "calculated" cell, and let Excel do the rest. Once you get one temperature right, you can usually just drag the fill handle to get the complete Tx diagram in short order. It is best to start at a low temperature to ensure that you detect LLE if it exists.
Note: This is a companion file in a series. You may wish to choose your own order for viewing them. For example, you should implement the first three videos before implementing this one. Also, you might like to see how to quickly visualize the Txy analog of the Pxy phase diagram. If you see a phase diagram like the ones in section 11.8, you might want to learn about LLE phase diagrams. The links on the software tutorial present a summary of the techniques to be implemented throughout Unit3 in a quick access format that is more compact than what is presented elsewhere. Some students may find it helpful to refer to this compact list when they find themselves "not being able to find the forest because of all the trees."
|15.04 - VLE calculations by an equation of state||Click here.||80||1||
PRMix.xlsx - Tutorial on use for bubble pressure (msu.edu) (10:06)
An overview of the organization of PRMix.xlsx, and a tutorial on the strategy to solve bubble pressure problems. Example 15.6 is worked in the screencast. After watching this screencast, you should be able to also solve dew or flash problems if you think about the strategy used to solve the problem. You may also be interested in a similar presentation from U.Colorado (learncheme, 6min).
|10.10 - Mixture Properties for Ideal Solutions||Click here.||80||1||
10.9 - 10.12 Mixture Properties Overview (6:53) (msu.edu)
This section of the text is thick with lots of equations. It may help to filter out the most important equations and results so that you have the perspective of the overall objectives of this section. There are a lot of equations in this section to show that the component fugacity in an ideal solution is simply the mole fraction multiplied by the pure component fugacity. In a liquid mixture, this is approximated as the mole fraction times the vapor pressure! This screencast goes on to preview the most important results of the next section to help you see the overall story.
|18.09 - Sillen Diagram Solution Method||Click here.||80||1||
Sillen Diagram for Electrolyte Calculations (10:14) (msu.edu)
Construction of a Sillien diagram involves several steps that are hard to follow from a textbook. This screencast goes through the steps of solving Example 18.5 from the Elliott and Lira textbook using the Sillen diagram. The problem asks for the pH of a solution that is 0.01 M NaOAc.
|13.03 - NTRL||Click here.||80||1||
NRTL concepts (2:30) (msu.edu)
The concepts on the development of the NRTL activity coefficient model.
1. What value does the NRTL model assume for the coordination number (z)?
|07.05 Cubic Equations of State||Click here.||80||1||
Intro to the vdW EOS. (LearnCheme.com, 5min) Provides a brief overview of the van der Waals (vdW) 1873 equation of state (EOS), which served as a prototype for EOS development for over 100 years. Note: the vdW EOS is just one conjecture of how equations of state for real fluids may be formulated. In reality, each fluid has its own unique EOS. The vdW model conjectures that the pressure is altered relative to the ideal gas by the presence of attractive forces and repulsive forces.
1. Of the two parameters a and b, which is related to attractive forces and which is related to attractive forces?