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 based onthe  given circumstances of circumstances, such as the  the volume of the container and the temperature of the system. The expected pressure of the system can be accurately determined using the the  Ideal Gas Law is already able to accurately determine Law, which describes  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. constant in a system.  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 in a system with uniform temperature, the pressure of an ideal gas is inversely proportional with volume of the gas. Thus, the pressure times the volume is equal to a constant value in the system, often shown as $PV = k$ (where 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 $P_{1}V_{1} = P_{2}V_{2}$ (where 1 indicates the initial and 2 is the final state).