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# Question: What is the relationship between pressure and temperature of a gas filled container with constant volume and number of moles?

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Introduction

Shazde Mehkri 12/2/09 IB physics Gas Laws Lab Introduction: In this lab we are going to investigate behavior of gas by working with a molecular model. Factors that effect gas behavior our pressure, temperature, volume and the number of moles. We are going to keep to variables constant and record the relationship or change in the remaining factors. Independent variables: Temperature, number of moles, volume Dependent variable: Pressure Controlled variable: apparatus used (computer program downloaded from the internet), volume and number of moles Question: What is the relationship between pressure and temperature of a gas filled container with constant volume and number of moles? Hypothesis: temperature and pressure are directly related. As temperature increases pressure increases. Pressure is directly proportional to temperature when the number of moles and volume are kept constant. Procedure: Log on to the Internet and visit heinnemann.co.uk/hotlinks and enter the express code 4266S. Click on weblink 3.2 the simulation on the right will appear. ...read more.

Middle

0.77 500 0.87 Graph 1 Volume of the container: lbh Height: 5.30nm +0.5nm Length: 6.60nm +0.5nm Width: 6.60nm +0.5nm Therefore v=5.30(6.6)(6.6)=230.8nm3 Uncertainty for volume: Total uncertainty of the measurements: 0.5+0.5+0.5=1.5 Final uncertainty: Volume*%uncertainty =1.5/230.8nm = 0.0065 nm =+0.0065 nm V=230.8 +0.0065 nm3 Table for trial 2: Temperature +0.5K Pressure +0.5 Pa 150 0.45 200 0.64 250 0.83 300 1.04 350 1.10 400 1.31 450 1.44 500 1.78 Graph 2 Volume of the container: lbh Height: 5.30nm +0.5nm Length: 3.40nm +0.5nm Width: 3.40nm +0.5nm Therefore v=5.30(3.4)(3.4)=61.26nm3 Uncertainty for volume: Total uncertainty of the measurements: 0.5+0.5+0.5=1.5 Final uncertainty: Volume*%uncertainty =1.5/61.26 = 0.0245 nm =+0.0245 nm V=61.26 +0.0245nm3 Table for trial 3 Temperature +0.5K Pressure +0.5 Pa 150 0.56 200 0.73 250 0.95 300 1.13 350 1.31 400 1.48 450 1.64 500 1.88 Graph 3 Volume of the container: lbh Height: 5.30nm +0.5nm Length: 9.10nm +0.5nm Width: 9.10nm +0.5nm Therefore v=5.30(9.1)(9.1)=438.9 nm3 Uncertainty for volume: Total uncertainty of the measurements: 0.5+0.5+0.5=1.5 Final uncertainty: Volume*%uncertainty =1.5/438.9 = 0.0034 nm =+0.0034 nm V=438.9 +0.0034nm3 A line of best fit is added to show the linear relationship. ...read more.

Conclusion

Also the uncertainty in the measurement of volume showed that there were some errors also included while taking the measurement of the container. Suggestions for improvements: The lab was precise because of the number of trials done but it could be accurate by reducing the errors made in the experiment. Try to hit the raise the temperature of the container in the simulation accurately if that is not possible try setting the default temperature to the desired value and record the pressure. This would allow the pressure gauge to be more accurate. When taking measurement of the container for volume with a ruler try to avoid the parallax error, which is created by not looking at the measurement perpendicularly. Take the mode value from all of the values produced by the pressure gauge and wait a minute or two after setting the temperature and before noting the temperature. This helps to get a more accurate reading because the particles get enough time to settle. By recording the pressure value after giving certain breaks in the experiment will help the lines on all the three graph to be less uneven and more accurate. ...read more.

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