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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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. In this simulation one can set the parameters as per desire. For this experiment we need to set the volume and number of moles constant. Three trials are done for accuracy. For the first trial, we need to set the volume constant. The volume will remain set to the default value. Then pump 100 heavy species particle in the container and keep them the same until the next trial. The temperature will automatically go to 300K, remove heat to lower the temperature to 150K. Record the pressure produced. Add 50K each time, before taking another reading until the temperature reach 500K. Record the change in pressure with simultaneous temperature in a table. Before starting the next trail hit the reset button. Before starting the second trail change the depth of the container to 3.4nm. Measure the depth with a ruler (the ruler is given as a tool for measurement).  Pump 100 more heavy species in the container to make a total of 200 particles. Increase the temperature as done before with similar intervals and record the pressure in form of a table. Hit the reset again and start the final trail. For the third trial, increase the depth of the container to 9nm and pump in a total of 300 heavy species particle. Record the temperature and pressure in a table. The uncertainty in this experiment for temperature is +0.5K and for pressure is +0.5 Pa. Use the tables to graph the data to show the relationship between temperature and pressure.

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Data Collection and Processing:

 Table for trial 1

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:

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: ...

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