Portfolios Wiki courses:order20:eeorder20 http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T03:38:37-08:00 Portfolios Wiki http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2018-08-31T12:36:49-08:00 courses:order20:eeorder20:eebandlab http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eebandlab?rev=1535744209 In-class Content QUIZ Lab: Rubber Band Link to Rubber Band Lab Activity Highlights text/html 2018-09-03T06:19:22-08:00 courses:order20:eeorder20:eeboltzman http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eeboltzman?rev=1535980762 In-class Content Lecture: Weighted Averages FIXME Lecture notes from Dr. Roundy's 2014 course website: Most thermodynamic quantities can be expressed as weighted averages over all possible eigenstates (or microstates). For instance, the internal energy is given by: by: $$U = \sum_i P_i E_i$$ Note that this will probably not be an eigenvalue of the energy, but that's okay. The energy eigenvalues are so close for the total energy of a macroscopic object that we couldn't distinguish them anyhow… text/html 2018-09-03T06:18:58-08:00 courses:order20:eeorder20:eediatomic http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eediatomic?rev=1535980738 In-class Content Lecture: Reviewing Several Energy Eigenvalues (10 minutes) Lecture notes from Dr. Roundy's 2014 course website: I'm going to quickly review and introduce the energy eigenvalues for some simple quantum mechanical problems. For each of the following, I will sketch out the potential, then sketch the wavefunctions and the spacing of the energy levels. text/html 2018-08-16T11:06:31-08:00 courses:order20:eeorder20:eeelevator http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eeelevator?rev=1534442791 In-class Content text/html 2018-09-03T06:20:01-08:00 courses:order20:eeorder20:eeentropy http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eeentropy?rev=1535980801 In-class Content SWBQ: Maximizing a Function Maximizing a Function Lecture: Lagrange Multipliers (?? minutes) FIXME Lecture notes from Dr. Roundy's 2014 course website: Usually, (analytically) we maximize functions by setting their derivatives equal to zero. So we could maximize the fairness by $$\frac{\partial\mathcal{F}}{\partial P_i} = 0$$ $$= -k_B (\ln P_i + 1)$$ Using the formula for the fairness function, what can this tell us about $P_i$? It doesn't make much sense at all... it mean… text/html 2018-08-31T12:46:35-08:00 courses:order20:eeorder20:eefairness http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eefairness?rev=1535744795 In-class Content QUIZ Lecture: Introduction to the Statistical Approach FIXME Lecture notes from Dr. Roundy's 2014 course website: A statistical approach So far in this class, you have learned classical thermodynamics. Starting next week, we will be studying statistical mechanics. Thermodynamics may look ``theoretical'' because it involves a lot of math, but ultimately it is an experimental science. Thermodynamics puts severe (and interesting) constraints on equations of state, but can nev… text/html 2018-09-03T05:54:51-08:00 courses:order20:eeorder20:eefirstlaw http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eefirstlaw?rev=1535979291 In-class Content QUIZ Activity: Comparing the System and Surroundings Link to Comparing the System and Surroundings Activity Activity Highlights Lecture: First Law of Thermodynamics (10 minutes) Lecture notes from Dr. Roundy's 2014 course website: The first law of thermodynamics simply states that energy is conserved. But it is useful to look at those two non-state variables work and heat. Both are changes in energy of a system, so we can write the first law as $$\Delta U=Q+W$$ where $U$… text/html 2018-09-03T06:20:38-08:00 courses:order20:eeorder20:eefreeexpansion http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eefreeexpansion?rev=1535980838 In-class Content Activity: Free Expansion Not-Quiz and Discussion Link to Free Expansion Not-Quiz and Discussion Activity Activity Highlights Homework text/html 2018-09-03T05:46:08-08:00 courses:order20:eeorder20:eeheatandtemp http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eeheatandtemp?rev=1535978768 Link to Prereqs In-class Content Lab: Ice Calorimetry Lab Link to Ice Calorimetry Lab Lab Highlights SWBQ: Comparing Thermodynamic Properties Link to Comparing Thermodynamic Properties Small White Board Question Lecture: Dulong and Petit Rule (5 minutes) Ice Calorimetry Lab Lecture notes from Dr. Roundy's 2014 course website: In 1819, shortly after Dalton had introduced the concept of atomic weight in 1808, Dulong and Petit observed that if they measured the specific heat per unit mass… text/html 2018-09-03T05:58:17-08:00 courses:order20:eeorder20:eeicelabtwo http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eeicelabtwo?rev=1535979497 In-class Content Lecture: Ice Calorimetry Lab II Linke to Ice Calorimetry Lab II Lab Highlights text/html 2018-08-31T12:13:50-08:00 courses:order20:eeorder20:eelegendre http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eelegendre?rev=1535742830 In-class Content Lecture: Thermodynamic Energies Naming Thermodynamic Variables Lecture notes from Dr. Roundy's 2014 course website: We begin with the now-familiar thermodynamic identity $$dU=TdS-pdV$$ Remember in the Interlude I talked about what if one of the weights were hidden in the black box, so you could not change it, or measure its position? Now we get to see why. text/html 2018-08-31T12:28:28-08:00 courses:order20:eeorder20:eemaxwell http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eemaxwell?rev=1535743708 In-class Content Lecture: Maxwell Relations (?? minutes) FIXME Lecture notes from Dr. Roundy's 2014 course website: In the Interlude, we learned that mixed partial derivatives are the same, regardless of the order in which we take the derivative, so $$\left(\frac{\partial \left(\frac{\partial f}{\partial x}\right)_y}{\partial y}\right)_x=\left(\frac{\partial \left(\frac{\partial f}{\partial y}\right)_x}{\partial x}\right)_y$$ $$\frac{\partial^2 f}{\partial x \partial y}=\frac{\partial^2 f}{\… text/html 2018-10-20T21:41:02-08:00 courses:order20:eeorder20:eembanalogy http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembanalogy?rev=1540096862 In-class Content Lecture: PDM Dictionary (25 minutes) Consider a canonical thermodynamic system that consists of a gas in a cylinder with a moveable piston. Help me draw a picture on the board. SWBQ: On your small whiteboard, tell me a quantity you can measure for this system. text/html 2018-10-21T17:22:20-08:00 courses:order20:eeorder20:eembderivatives http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembderivatives?rev=1540167740 In-class Content Activity: Calculating a Total Differential Link to Calculating a Total Differential Activity Activity Highlights Activity: Upside Down Derivatives Link to Upside Down Derivatives Activity Activity Highlights Activity: Cyclic Chain Rule Link to Cyclic Chain Rule Activity text/html 2019-03-22T11:30:10-08:00 courses:order20:eeorder20:eembdiff http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembdiff?rev=1553279410 In-class Content Lecture: Differentials of 1D Functions (Lec - 20 min) Main ideas Lecture (30 minutes) Ask students to make a sketch of f = 7x2 on the big white board. What are the variables of interest? One idea here is to note that x is not the only variable here: f is also a variable from a physics perspective. text/html 2018-10-20T21:41:54-08:00 courses:order20:eeorder20:eembenergy http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembenergy?rev=1540096914 In-class Content Potential Energy of an Elastic SystemSGALots of Ways to Change a StateQuantifying Change in Thermal SystemsSGA Alternate In-class Content Internal Energy of the "Partial Derivative Machine" text/html 2018-10-20T21:40:11-08:00 courses:order20:eeorder20:eembvarrep http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eembvarrep?rev=1540096811 In-class Content Activity: PDM Variables Link to PDM Variables Activity Activity Highlights Lecture: Contour Graphs of PDM Variables (25 minutes) Fix $x_R$ and make a graph of $x_L$ vs. $F_L$. (Don't let students be too precise.) Repeat for 3 different fixed values of $x_R$ and graph them all on the same set of axes. (Make sure students have explored enough of parameter space to see the nonlinearity.) text/html 2018-09-03T05:56:47-08:00 courses:order20:eeorder20:eenameexpone http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eenameexpone?rev=1535979407 In-class Content Lecture: The Thermodynamic Identity FIXME Lecture notes from Dr. Roundy's 2014 course website: The internal energy is clearly a state function, and thus its differential must be an exact differential. $$dU = \text{ ?}$$ $$= đQ - đW$$ $$ = đQ - pdV \text{ only when change is quasistatic}$$ text/html 2018-08-16T11:09:42-08:00 courses:order20:eeorder20:eenameexpthree http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eenameexpthree?rev=1534442982 In-class Content text/html 2018-08-31T11:59:00-08:00 courses:order20:eeorder20:eenameexptwo http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eenameexptwo?rev=1535741940 In-class Content QUIZ Activity: Name the Experiment II Link to Name the Experiment II Activity Activity Highlights text/html 2018-08-31T11:05:17-08:00 courses:order20:eeorder20:eepvtsplots http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eepvtsplots?rev=1535738717 In-class Content Activity: Using $pV$ and $TS$ Plots Link to Using $pV$ and $TS$ Plots Activity Activity Highlights Homework for Energy and Entropy text/html 2018-08-31T11:13:44-08:00 courses:order20:eeorder20:eesimplecurve http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eesimplecurve?rev=1535739224 In-class Content Lab: Name the Experiment I Link to Analyzing a Simple Cycle using a $pV$ Curve Activity Lab Highlights text/html 2018-08-31T12:39:16-08:00 courses:order20:eeorder20:eesometimesalwaysnever http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eesometimesalwaysnever?rev=1535744356 In-class Content Activity: Sometimes Always Never Link to Sometimes Always Never Activity Activity Highlights text/html 2018-08-31T12:03:14-08:00 courses:order20:eeorder20:eethesecondlaw http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:eethesecondlaw?rev=1535742194 In-class Content Lecture: The Second Law of Thermodynamics (5 minutes) Lecture notes from Dr. Roundy's 2014 course website: Second Law and Entropy If you drop a hot chunk of metal into a cup of water, which way will energy be transferred by heating? What is the rule that governs this? text/html 2018-09-07T10:07:11-08:00 courses:order20:eeorder20:test http://sites.science.oregonstate.edu/portfolioswiki/courses:order20:eeorder20:test?rev=1536340031