https://gdpark.blog/tags/kinetic-theory/Recent content in Kinetic-Theory on gdpark.blogHugoenSat, 02 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-07-velocity-distribution-function-of-gas-molecules/Thu, 31 Dec 2015 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-07-velocity-distribution-function-of-gas-molecules/We finally get to handle something real — gases! Starting from a simple ideal gas model, we derive the velocity distribution using the Boltzmann distribution.https://gdpark.blog/posts/thermal-statistical-08-maxwell-boltzmann-speed-distribution/Thu, 31 Dec 2015 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-08-maxwell-boltzmann-speed-distribution/We ditch direction entirely and dive into velocity space to figure out the Maxwell-Boltzmann speed distribution — because who cares which way the gas is flying lol.https://gdpark.blog/posts/thermal-statistical-10-expected-speed-expected-energy-and-statistical-analysis-of-i/Thu, 31 Dec 2015 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-10-expected-speed-expected-energy-and-statistical-analysis-of-i/We ditch talking distributions and actually calculate averages — finding the expected speed and energy of an ideal gas molecule using integrals and odd-function tricks.https://gdpark.blog/posts/thermal-statistical-12-chapter-6-practice-problems/Fri, 01 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-12-chapter-6-practice-problems/Working through Chapter 6 practice problems on ideal gas volume at STP, kinetic energy density, and what happens to the air in your room when you turn up the heat.https://gdpark.blog/posts/thermal-statistical-13-graham-s-law-of-effusion/Fri, 01 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-13-graham-s-law-of-effusion/We derive Graham’s Law of effusion from first principles using flux and the Maxwell-Boltzmann distribution — turns out it’s way easier than it sounds!https://gdpark.blog/posts/thermal-statistical-14-chapter-7-practice-problems/Fri, 01 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-14-chapter-7-practice-problems/Working through Chapter 7 problems on particle flux for nitrogen at STP and the average kinetic energy of molecules escaping through a tiny hole.https://gdpark.blog/posts/thermal-statistical-15-mean-free-path-between-molecules/Sat, 02 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-15-mean-free-path-between-molecules/A casual, self-reconstructed walkthrough of mean free path derivation — expect some controversy, but the author breaks down molecular collisions and relative velocity in their own way.