# Top-rated ScreenCasts

Text Section | Link to original post | Rating (out of 100) | Number of votes | Copy of rated post |
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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. |

01.2 Molecular Nature of Temperature, Pressure, and Energy | Click here. | 79.2 | 25 | |

01.2 Molecular Nature of Temperature, Pressure, and Energy | Click here. | 78.0282 | 71 |
Molecular Nature of Energy and Temperature (msu.edu) (3:34) Comprehension Questions: 1. A 1m3 vessel contains 0.5m3 of saturated liquid in equilibrium with 0.5 m3 of saturated vapor. Which molecules are moving slower? (a) the vapor (b) the liquid (c) they are all the same. 2. A glass of ice water is sitting in your freezer, set to 0C and fully equilibrated. Which molecules are moving slower? (a) the gas (b) the liquid (c) the solid (d) they are all the same. 3. You walk into the kitchen in the morning to get some breakfast. The ceiling fan is on. You forgot your slippers. Which one is "hotter?" (a) the floor (b) the ceiling (c) the granite counter top (d) the air in the room (e) they are all the same. |

08.01 - The Departure Function Pathway | Click here. | 73.3333 | 6 |
Departure Function Overview (11:22) (msu.edu) |

13.05 - UNIFAC | Click here. | 73.3333 | 6 |
UNIFAC concepts (8:17) (msu.edu) UNIFAC is an extension of the UNIQUAC method where the residual contribution is predicted based on group contributions using energy parameters regressed from a large data set of mixtures. This screecast introduces the concepts used in model development. You may want to review group contribution methods before watching this presentation. Comprehension Questions: 1. What is the difference between the upper case Θ of UNIFAC and the lower cast 2. Suppose you had a mixture that was exactly the same proportions as the lower right "bubble" in slide 2. Compute Θ 3. Compare your value computed in 2 to the value given by unifac.xls. |

02.01 Expansion/Contraction Work | Click here. | 73.3333 | 3 |
Vocabulary in Sections 2.1-2.3: Forms of "Work." (uakron.edu, 11 min) Making cookies is hard work. In discussing work, we develop several shorthand terms to refer to specific common situations: expansion-contraction work, shaft work, flow work, stirring work, "lost" work. These terms comprise the headings of sections 2.1-2.3, but it is convenient to discuss them all at once. The important thing to remember is that work is really just force times distance, pure and simple. The shorthand terms are not intended to complicate the discussion, but to expedite the analysis of the energy balance. Developing some familiarity with the terms related to common daily experiences may help you to assimilate this new vocabulary. Sample calculations (13min) illustrate a remarkable difference when one is faced with gas compression vs. liquid pump work. Comprehension Questions: |

10.03 - Binary VLE using Raoult's Law | Click here. | 73.3333 | 3 |
Raoult's Law Calculation Procedures (11:45) (msu.edu) Comprehension Questions: Assume the ideal solution SCVP model (Eqns. 2.47 and 10.8). 1. Estimate the bubble pressure (bars) of 30% acetone + 70% benzene at 333K. |

07.05 Cubic Equations of State | Click here. | 73.3333 | 3 |
Virial and Cubic EOS (11:18) (msu.edu) Comprehension Questions: 1. To what region of pressure is the virial EOS limited at a given temperature? Why? |

08.02 - The Internal Energy Departure Function | Click here. | 73.3333 | 3 |
The Internal Energy Departure Function (11min, uakron.edu) Deriving departure functions for a variety of equations of state is simplified by transforming to dimensionless units and using density instead of volume. This also leads to an extra simplification for the internal energy departure function. Comprehension Questions: 1. What is the value of P for an ideal gas?2. What is the value of ( ∂U/∂V) for an ideal gas and how can you explain this result at the molecular scale?_{T}3. The Redlich-Kwong (RK) EOS is: P=RT/(V-b) -a/(V^{2}RT^{1.5}). Use Eqn. 8.13 to solve for (U-U)/^{ig}RT of the RK EOS.4. The RK EOS can be written as: Z = 1/(1-bρ) - aρ/(RT^{1.5}). Use Eqn. 8.14 to solve for (U-U)/^{ig}RT of the RK EOS. |

Molecular Nature of Internal Energy: Thermal Energy

This introduction to "thermal energy" elaborates on the ideal gas definition of temperature, which derives from the way that

PVis related to kinetic energy. ThisPVrelation can be easily understood in terms of an ultrasimplified model of ideal gas pressure. (uakron, 6min). Noting empirically from the ideal gas law thatPV=nRT, we are led to the derivation of Eqn. 1.1 (uakron, 5min, same as above). This result suggests counter-intuitive implications about the the ways that solid, liquid, and gas molecular velocities must be related. When applying Eqn. 1.1, you must be careful to keep your units straight, as illustrated in this sample calculation of molecular temperature for Xenon (Mw=131g/mol) (uakron, 5min). On a closely related note, we could perform a sample calculation of molecular pressure for Xenon using Eqn. 1.21.Comprehension Questions:

1. If two phases are in equilibrium (e.g. a vapor with a solid), then their temperatures are equal and the rate at which molecules leave the solid equals the rate at which molecules enter the solid. Which molecules are moving faster, solid or vapor? For simplicity, assume that the vapor is xenon and the solid is xenon. Hint: think about the exchange of momentum when the vapor molecules collide with the solid.

2. Compute the average (root mean square) velocity (m/s) of molecules at room temperature and pressure and compare to their speeds of sound. You can search the internet to find the speed of sound.

a. Argon

b. Xenon

3. Three xenon atoms are moving with (x,y,z) velocities in m/s of (300,-450,100), (-100,300,-50), (-200,-150,-50). Estimate the temperature (K) of this fluid.

4. Estimate the pressure of the xenon atoms in Q3 above in a vessel that is 4nm

^{3}in size.