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Ideal Gas Law. Janet Penevolpe Karen Glennon. KINETIC THEORY OF GASES. Assumes that the molecules are very small relative to the distance between molecules. The molecules are in constant, random motion and frequently collide with each other and with the walls of any container.
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Ideal Gas Law Janet Penevolpe Karen Glennon
KINETIC THEORY OF GASES • Assumes that the molecules are very small relative to the distance between molecules. • The molecules are in constant, random motion and frequently collide with each other and with the walls of any container.
DEVELOPMENT OF GAS LAWS • Boyle’s Law - relates pressure and volume • Charles’ Law - relates temperature and volume • Avogadro’s Principle - relates to the number of molecules and volume • Ideal Gas Law - relates pressure, temperature, volume, and number of molecules.
IDEAL GAS LAW • An ideal gas can be characterized by three state variables: absolute pressure (P) volume (V) absolute temperature (T). # moles (n) • The relationship between them may be deduced from kinetic theory and is called PV = nRT
GAS PARTICLES Have two elementary actions • They move • They collide with other particles or other objects
We found two models in the NetLogo model library. • Combined and modified these two programs. • Pressure will be a function of the other parameters/variables.
ASSUMPTIONS • All particles average energy. • Minimum number of particles is set at 100 • Minimum temperature is 100
Problems • Volume vs. area calculation • Energy vs. temperature calculation
OUR NetLogo PROGRAM • Ideal Gaw Law Simulation
RESULTS • Learning a new language always creates difficulties. • Harder to copy, read, and modify code than to create it.
MATH RESULTS/VERIFICATION • When volume doubled pressure halved in accordance to Boyle’s Law. • When temperature doubled pressure doubled in accordance with Charles Law. • When number of particles doubled the pressure doubled in accordance with Avogadro’s Principle.
THE MODEL IS VALID because the IDEAL GAS LAW is the COMBINATION OF THESE THREE LAWS!
BIBLIOGRAPHY • http://www.grc.nasa.gov/WWW/K-12/airplane/kinth.html • http://www.science.uwaterloo.ca/~cchieh/cact/c120/gaskinetics.html • http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/idegas.html • http://jersey.uoregon.edu/vlab/Piston/index.html • http://www.chemicool.com/idealgas.html • http://www.ausetute.com.au/idealgas.html • http://scienceworld.wolfram.com/physics/IdealGasLaw.html • http://dbhs.wvusd.k12.ca.us/webdocs/GasLaw/Gas-Ideal.html • http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=25