Lab #1 Kinetic Theory of Gasses - Google Docs

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Apr 3, 2024

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, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022 Lab #1 Kinetic Theory of Gasses Introduction: In this lab we will be observing the behavior of gas particles within a simulated box. We will be trying to achieve Standard Temperature and Pressure mixing nitrogen and oxygen. In the following experiment we also try mixing Nitrogen with an unknown gas and measuring components like each gasses momentum and kinetic energy. In the last experiment we placed one oxygen particle in a box of enough nitrogen particles for STp. We then launched the single oxygen particle across the box back and forth to observe how many times it goes across the box before colliding with a nitrogen particle. We did this 20 times and observed the average. We get a value and compare it to the accepted value. In experiment 4 we were tasked to make our own experiment in the simulation to prove an equation in the textbook. Data: Project 3: Trial Bounces 1 0 2 2 3 0 4 2 5 2 6 8 7 3 8 0 9 19 10 2 11 2 12 1
, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022 13 11 14 14 15 1 16 1 17 0 18 9 19 19 20 3 Average 4.95 Standard Dev 6.21945166 Calculated MFP 0.0000000495 Uncertainty 1.390711669 Standard deviation was calculated with the equation: Project 4:
, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022 Analysis:
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, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022
, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022 Project 1: We got a number density of 25*10^24 particles and a mass density of 1.20 g/m^3. For fraction empty we used: 1- (Fraction Occupied). We then got a percent of 99% that is empty which makes sense because atoms are incredibly small and a few particles of gas are extremely small compared to the volume of the box. Project 2: For Momentum of Species 1 we got 2.08E-27 kg*m/s. For Momentum of species 2 we got 1.50E-27 kg*m/s. For kinetic energy 1 we got 4.63E-21 J. For kinetic energy 2 we got 4.76E-21 J,
, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022 Using this information we tried to calculate Boltzamns constant and got a value of 1.37E-23. This was a decently acceptable value as we get a percent error of .72%. Project 3: After we did 20 trials we calculated an average distance traveled of 4.9E-8 m. Using the equation for theoretical distance we got λ=5E-8 m. We were very satisfied with this result as we came really close to the theoretical value with about 2% error. Project 4: For Project 4 we designed our own experiment to try to prove an equation in our textbook. An equation we decided to prove was equation 18.16 Equation 18.16 : ½ m(v^2)=3/2kT Within the gas simulation we had only one species that occupied space in the box. We adjusted the mass with increments of 10E-27 and starting at 10E-27. We went all the way to a mass of 100E-27 and recorded the Temperature of each increment. We got our slope to be 8.19E-27 kg/K. We manipulated our equation to have m/T on the left hand side and solved for k. We got an experimental value of Boltzmans constant to be 1.38E-23J/molecule*K. Conclusion: For our data, we seemed to have a decent understanding of what it meant and were satisfied with what resulted. One value that didn't seem satisfactory however was our calculation for Boltzmans constant. A .72% error is a decent error that needs consideration. This error could exist because we had trouble trying to adjust velocity with the particles which could lead to misinterpretation of the temperature. The 4th project had us create our own simulation to prove
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, Pranav Konduru Leosbaldo Zurita-Romero Physics 52 Section 16 Aug 31, 2022 and equation true. We got an almost perfect result of Boltzmans constant with errors most likely resulting from the simulation not allowing us to go by perfect increments of 10.

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