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HW 1
- Math Chapter B: Problems B-4, B-5, B-6, B-7
- Complete the Mathematica notebook: Maxwell.nb
- Chapter 16: Problems 6, 20, 39, 41, 51 (template), 57.
Advice: When starting on the Mathematica problems, you may find it helpful to use the notebook MathIntro.nb as a reference. For example, for problem 51, look at the intro section on plotting data points and use the template.
To download Mathematica notebooks on a mac, you can control click on the link and choose Download Linked File as. Then, make sure that the file is saved with the ".nb" ending. Once the file is on a Mac with Mathematica on it, you can double click on it to open it.
HW 2
- Chapter 17: Problems 2, 3, 9, 11, 16, 20, 34
- Using the concepts of probability and the partition function, derive the relationship between the average energy and the partition function. Indicate reasons for all your steps beside your steps.
HW 3
- Chapter 18: Problems 3, 5, 11, 17, 18, 41.
- For 2 bonus points, find the vibrational modes for a small paraffin using Gaussian03 with the Gaussview interface. You would need to find the structure of a small paraffin and use the instructions at http://www.mtholyoke.edu/acad/chem/mmlab/tutorial/instr1.htm . You should describe the modes you find with pictures and words in the HW you hand in.
Use Mathematica for number 17 and comparison part of 18. You can submit your Mathematica notebook online by putting it on ella in the Resources/Class Documents/Upload Mathematica HW notebooks Here folder. Be sure to choose the subfolder for HW 3.
HW 4
HW 5
- Chapter 20: Problems 3, 4, 14, 18, 31, 39, 43.
- Show that entropy is a state function. See lecture notes and fill in the steps. The lecture proof assumed that isotherms do not cross and that adiabats do not cross. Show that isotherms do not cross. For bonus points, show that adiabats can not cross. (Considering an alternate statement of the second law may be useful here. In particular, the second law can be stated as "It is impossible to extract heat from a hot reservoir and use it all to do work.")
- Answers
- P 43 mathematica notebook
- Isotherms: Assume that two distinct isotherms cross. This suggests that
they have the same temperature at the crossing. However, since they are
isotherms, they have the same temperature throughout the whole line.
This would mean that they are the same isotherm. Hense, two distinct
isotherms can not cross.
- Adiabats: Assume that two adiabats cross. Connect the two adiabats
with an isotherm to form a cycle. The total change in energy along the
cycle made up of the two adiabats and the isotherm is zero since
internal energy is a state function. dw1+dw2+dq3+dw3=0 Along the
adiabats 1 and 2, dq is zero. This suggests that a cycle with a single
heat source and no heat sink results in work. This would be a perfect
engine and a hence a violation of the second law. Therefore, the
initial assumption of two adiabats crossing is false.
HW 6
HW 7
HW 8
- Chapter 26. Problems 1, 3, 10, 18, 21, 27
- How do real equilibria differ from ideal equilibria?
- HW8
- Real equilibria use activities rather than concentrations. The
presence of interacting molecules in the systems results in screening
of the reactant molecules from each other by the other molecules. As a
result, not all the concentration of reactants that would be expected
to react can react. The same is true for products but in the opposite
direction. The activity
is essentially an effective concentration.
HW 9
- Chapter 27: 34
- Chappter 28: 11, 13, 17, 33
- How do collision and transition state theories help explain the
meaning of the Arrhenius equation?
- HW 9 Solutions
- To compare collision and transition state theories, look at class notes and review questions for the last topics.
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