“Van der Waals Equation” as Described in the Educational

Perspective

Van der Waalsand

Equation of State of Gases and Luquids

Tsukuba University of TechnologyMechanical system course

Miho Nagai

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.

Johannes Diderik van der Waals

Brief Summary of Biography★ Born in Leiden, Netherland. ★ (23 November 1837 ～ 8 March 1923)

http://www.i-wanna-travel.com/r6-netherland02.html

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.

ファンデルワールスはよほど

物理が好きなのか！？？

What a great person he is!

Let’s have a look at him.

Brief Summary of Biography★ 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

Van der Waals

★ State Diagram of Ideal Gas

The state diagram of ideal gas shows gas phase only. Other phases were not known at the time.

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”.

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

The diagram shows both of gas and liquid phases

Molecular Size

Intermolecular Force

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

★ 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.

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.