Luke Carlson edited introduction.tex  about 11 years ago

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\section{Introduction}   In this lab, I created a 3D simulation of gas particles in a cubic container in order to experimentally determine the pressure of the gas in the given circumstances.   The Ideal Gas Law is already able to accurately determine the characteristics of ideal gas particles in given circumstances. Often written as $PV=nRT$, this law displays the relationship between Pressure, Volume, Temperature, moles of the particle, and the universal gas constant.  The Ideal Gas Law can be derived from combining three other gas laws: Boyle's Law, Charles's Law, and Avogadro's Law. Boyle's Law postulates that the pressure of an ideal gas multiplied by the volume of the gas is equal to a constant value in the system, often shown as $PV = k$ (k is the constant). Since the constant is the same no matter the circumstances in the system, the law can be used to relate changes in pressure or volume as $P1V1 $P_{1}V_{1}  = P2V2$ P_{1}V_{1}$  (where 1 indicates the initial and 2 is the final state) Thus by using Boyle's law, a change in pressure or volume can be determined using $P_{1}V1 $P_{1}V_{1}  = P2V2$ P_{1}V_{1}$  (where 1 indicates the initial and 2 is the final state) I plan to compare my results with the actual expected pressure, based on the Ideal Gas Law. This law is able to accurately determine the characteristics of ideal gas particles in given circumstances.