Tsukuba University of Technology Mechanical system course Miho Nagai

1. “Van der Waals Equation” as Described in the Educational PerspectiveVan der WaalsandEquation of State of Gases and Luquids Tsukuba University of Technology Mechanical system course Miho Nagai

2. Summary • The presentation is to discuss about the van der Waals equation of state of gases. • The presentation materials were prepared utilizing PowerPoint animation technique. The presenter leaned the animation technique taking this opportunity. • The presentation explains the equation of state of real gases with the introduction of van der Waals. • The presentation also contains the presenter’s future dreams as well as an effective technique of telling things which are hard to understand.

3. Johannes Diderik van der Waals

4. Brief Summary of Biography • Born in Leiden, Netherland. • (23 November 1837～ 8March 1923) • http://www.i-wanna-travel.com/r6-netherland02.html

5. Brief Summary of Biography • Van der Waals learned scientific knowledge by himself to gain the qualifications to become a teacher of primary school as well as junior high school. • He learned physics in the University of Leiden, while being a teacher. What a great person he is! Let’s have a look at him. ファンデルワールスはよほど 物理が好きなのか！？？

6. Brief Summary of Biography Van der Waals • Van der Waals was much influenced by Rudolf Clausius’ treatise on ideal gas. • He studied physics while • being a principal of junior • high school. Rudolf Clausius

7. The state diagram of ideal gas shows gas phase only. Other phases were not known at the time. • State Diagram of Ideal Gas

8. Scientific Work • Doctoral thesis “Continuity between Liquids and gases” at the age of 36, 1873 • This thesis on real gases was prepared referring to • those on ideal gas. • The equation of state of gases and liquids was introduced considering the intermolecular force and the volume of molecule itself. Maxell (Famous for electromagnetism) Maxwell said, “The name of van der Waals would be written down at the leading edge of molecular science and his treatise would motivate people to learn Dutch”.

9. Awarded the Nobel Prize！！ • Creation of van der Waals’ state equation • Awarded the Nobel Prize for “Research on physical states of gases and liquids” at the age of 73 in 1910. Gases and Liquids are connected continuously・・・！ • http://ja.wikipedia.org/wiki

10. 固固相 Solid phase 液相 Liquid phase 気相 　　　Gas phase 臨界点　 Critical point 三重点　　 Triple point 固相 　　　Solid phase 液相 　　　　Liquid phase 気相 　　　　Gas phase 臨界点 Critical point 三重点 Triple point The diagram shows both of gas and liquid phases Intermolecular Force Molecular Size

11. Van der Waals’ state equation had become the most famous among those equations that described the behavior of real gases. Afterwards, Clausius, Virial, and others also proposed state equations on real gases, but they were all based on van der Waals’ equation.

12. The presenter will enter the graduate school of Joetsu University of Education (JUE) in April to specialize the course of specially supported education. It is attractive that it takes 3 years to obtain a teacher’s license in JUE, while 4 years in other university. The presenter would like to become a mathematics teacher in a school of deaf persons to give students easy-to-understand lessons with maximum utilization of PowerPoint animation technique.