PHYS 108L Spring 2019 Lab 1: Gas Thermometer and Absolute Zero Your Name Gloria Ge Your Partner’s Name Section # 02 Introduction 1. What this lab is all about? In this lab, the relationship between pressure and Temperature for the gas is. This experiment involved using a constant pressure gas thermometer, and a constant volume in gas thermometer, in conjunction with the ideal gas law, to predict a temperature of absolute zero and predict the room temperature. . 2. What is the investigated physics principle (or model)? The ideal gas law and absolute zero is investigated here. For a gas at temperature 0 K, there is zero thermal motion and zero gas pressure, and it is called “absolute zero”. For this reason, the Kelvin temperature scale is known as the “absolute” temperature scale. For an ideal gas, if the volume, V, and the number of moles, n, are constant, write the temperature in Kelvin, KT, as a function of pressure p. The experiment uses ideal gas law to determine the regression line and the absolute zero. 3. Briefly describe what you did. The experiment began with taking value so the pressure and temperature as the temperature of the bath increase as the substance for bath is changing. We first vacuumed the air in gas thermometer and injected the gas thermometer with helium and recorded the initial pressure under room temperature. Then the gas thermometer was put in four different baths with various temperature and recorded the pressure again. Repeated the process for four times with various initial pressure. Finally took points of temperature and pressure and then plotted the graph of Pressure vs. Temperature values. Results Measured room temperature = ?? unit Measurement 1 Measurement 2 Measurement 3 Measurement 4 Pinitial absolute 147Kpa Pinitial absolute 130kpa Pinitial absolute 115kpa Pinitial absolute =100kpa T1 = 77K P1absolute =40kpa P1absolute = 35kpa P1absolute = 30kpa P1absolute = 23kpa T2 =201K T3 =273K T4 =373K P2absolute = 98kpa P2absolute = 90kpa P2absolute = 75kpa P2absolute = 65kpa Graphs P3absolute = 135kpa P3absolute = 115kpa P3absolute = 115kpa P3absolute = 90kpa P4absolute = 185kpa P4absolute = 157kpa P4absolute = 145kpa P4absolute = 125kpa Calculations (You must show your work to receive credit.) 1. Average T0 and % error: The absolute zero can be obtain from the linear regression line setting the y(pressure) as zero and the x(Temperature) value is the absolute zero we gained. T01=-135.11/0.4907= -275.34C T02=-116.43/0.4089= -284.74C T03=-107.99/0.3985= -270.99C T04=-90.22/0.3446= -261.81C AverageT0 = ( -275.3413+-284.7395+-270.9912+-261.8108)/4= -273.2208C Percentage error [-273.15-(-273.2208)]/273.15= 0.0002591982=0.02% 2. Average Troom and % error: Troom1 = (147-135.11)/0.4907=24.231C Troom2 = (130-116.43)/0.4089=33.1866C Troom3 = (115-107.99)/0.3985=17.5910C Troom4 = (100-90.222)/0.3446=28.3807C Average Troom= (24.231+33.1866+17.59097+28.38073)/4=25.8473C Percentage error= (25.84-22.778)/22.778=0.1344=13.44% Conclusion From the graphs with obvious linear regression lines, we can definitely conclude that there is positive and linear response relationship between pressure and temperature which correspond to the ideal gas law. Constant volume gas thermometers operate on the ideal gas law, with the restrictions that the gas thermometer remains the same volume, the pressure and temperature values can be explored. Knowing that when the temperature of an ideal gas increases, that there is a corresponding increase in pressure. Conversely, when the temperature decreases, so does the pressure. Our group obtained an experimental average absolute zero temperature at -273.22C which is really close to the actual value -273.15C, having a 0.02% percent error. At this point, the pressure is zero and no kinetic energy if given for gas molecules. For Troom temperature, we predict a value from the average Troom to be 25.84C from the linear regression function. However, on the other hand, some measurement and mistakes need to be explained. For the third trial of experiment with initial temperature115kpa, the pressure of gas thermometer should have a value smaller than the value we obtained for gas thermometer’s pressure in to ice water since the Temperature of ice water should be lower than the room temperature which should predict a smaller pressure value. The reason for this inconsistence might be caused by the fact that we did not wait until the pressure drop to the appropriate value and recorded the pressure. However, in general our groups data confirm the positive linear relationship between pressure and temperature, also the confirm the absolute zero around -273.15C and room temperature around 25C. THE END