On this day, I learned that solving Exact Equations in DiffE is rather similar to something we did in Cal III with partial derivatives. You have two functions M(x,y)dx + N(x,y)dy = 0 and integrate and derive the two functions to find out what their master function is.
I learned that by adding a “fudge factor” to the ideal gas law, you can increase the accuracy of your numbers by a great deal, depending on the gas involved. We went from 17% off to about 1% off, which is a lot better! There is a chart (please don’t have a heart attack when viewing the link) that allows you rattle off this extra rightness.
You read the chart by starting with two of Temperature, Pressure, or Volume, to get the third, you have to find where reduced temp, reduced pressure, and pseudo volume correspond to the Compressibility factor Z. Reduced temp is a ratio of the actual temperature and the critical temperature, a similar ratio exists for the reduced pressure.
I also learned that the campus health center closes when the university closes. Please don’t close tomorrow!
(in more fun news, I learned that the back parking lot is completely slick, and so is the three story high ramp. fun times for all!)