Name _____________________________________________________ Period _________________ Boyle’s Law – Pressure-Volume Relationship in Gases The primary objective of this experiment is to determine the relationship between the pressure and volume of a confined gas. The gas we use will be air, and it will be confined in a syringe connected to a Gas Pressure Sensor (see Figure 1). When the volume of the syringe is changed by moving the piston, a change occurs in the pressure exerted by the confined gas. This pressure change will be monitored using a Gas Pressure Sensor. It is assumed that temperature will be constant throughout the experiment. Pressure and volume data pairs will be collected during this experiment and then analyzed. From the data and graph, you should be able to determine what kind of mathematical relationship exists between the pressure and volume of the confined gas. Historically, this relationship was first established by Robert Boyle in 1662 and has since been known as Boyle’s law. OBJECTIVES In this experiment, you will Use a Gas Pressure Sensor and a gas syringe to measure the pressure of an air sample at several different volumes. Determine the relationship between pressure and volume of the gas. Describe the relationship between gas pressure and volume in a mathematical equation. Use the results to predict the pressure at other volumes. Move arrow to 10ml mark. PROCEDURE 1. Prepare the Gas Pressure Sensor and an air sample for data collection. a. Check to make sure the Gas Pressure Sensor is plugged into into Channel 1 of the LabQuest2. b. With the 20 mL syringe disconnected from the Gas Pressure Sensor, move the piston of the syringe until the front edge of the inside black ring is positioned at the 10.0 mL mark. c. Attach the 20 mL syringe to the valve of the Gas Pressure Sensor. 3. To obtain the best data possible, you will need to correct the volume readings from the syringe. Look at the syringe; its scale reports its own internal volume. Be sure to consistently use the inner black ring of the plunger to measure the volume of the syringe. 4. Click the Lab Quest App on the home page. 5. Click “Sensors” at the top of the labQuest screen. Click “Sensor Set-up”, then “CH1” and then scroll down to choose “Gas Pressure Sensor” of “Pressure Sensor” (check which probe is attached to your LabQuest!) 6. Click “OK” 7. Click “Sensors” again and then“Data Collection” 8. Choose “Mode”- “Events with Entry”, “1”column and Name = volume and Units = mls, Click “OK) Click “Sensors” and “Change Units” choose “atm” You should now see a pressure reading of about 0.98-1.0 on the home screen. 9. Move Piston to 5.0 mls and hold. Press Green arrow play button at the bottom left side of screen to take pressure measurement. Hit “Keep”, and then enter in 5.0mLs., Then OK 10. Repeat this process for 7.5, 10.0, 12.5, 15, 17.5 and 20mls. Move Piston, Record and enter volumes. You should see the pressure values changing on the right hand side of the screen. *Note - Collect the pressure vs. volume data. It is best for one person to take care of the gas syringe and for another to operate the computer. *You should see the points on the graph as you add collect your pressure data. 11. Hit “Stop” at the bottom left hand side of the screen after you collect the 20ml Data point. Data Table Once you have collected all your data, hit the table button at the top right to see your *pressure data and enter in the table below. Volume (mls) 5.0 7.5 10.0 12.5 15.0 17.5 20.0 *Pressure (atm) 1/Volume PV = Pressure x Volume 1. Click the graph button again. Fit Data to a curve: Click “Analyze” and then “Curve Fit”. Check the “Pressure” box. 2. At the new screen, hit the “Choose Fit” menu button and choose “Power” button. This will give you the equation of the curve. Hit “OK” 3. Record the equation for this line as y = AxB (inserting “A” and “B” from the curve fit menu ____________________________ Record the “RMSE” value for this line _____________________________________ Teacher initials____ 4. Return to graph by hitting the “Graph Button” at the top of the screen. Then hit “Table” button. 5. Click the “Table” button at the top to open drop down menu. 6. Choose “New Calculated Column” Then choose A/X option. Column for X : Use Volume and A = 1 7. Name – Change to 1/volume. 8. Click “OK” to take you back to the graph screen. Now you have a graph of P vs. 1/V 9. Click “Analyze” again. “Curve Fit”, “Linear” and check “pressure” 10. Record the equation of the line as y = mx + b and insert the “m” and “b” values in for the slope and yintercept. _____________________________________________________ Record the “Correlation Number “ ______________________ Teacher’s Initials ________ 11. Go back to the “Table” button and record the 1/volume data in the data table above. 12. Graph Pressure (y-axis) vs. Volume (x-axis) in the for the first graph below and Pressure vs. 1/volume (x-axis) for the second graph below. Use proper scaling. Label the graph appropriately. Draw a curve or line connecting all the points as you saw on the Lab Quest during the lab. _______________________________________________________________________________________ When you are done writing down all your data. Click “File” and then “quit”, and then choose discard the data. Disconnect the probe from the Lab Quest and return the Lab Quest to Ms. Kreisel. Post Lab Questions: Answer the questions on a separate piece of paper. You must use complete sentences and show all your work in order to get full credit. 1. If the volume is doubled from 5.0 mls to 10.0 mls, what does your data show happens to the pressure? (for example: the pressure increases or decreases by what factor? Use your pressure values in your answer. Calculate the factor it changes by. (hint: 5ml pressure÷10ml pressure value) a. What should have happened to the pressure? 2. If the volume is cut in half from 20.0mls to 10.0mls, what does your data show happens to the pressure? (for example: the pressure increases or decreases by what factor? Use your pressure values in your answer. Calculate the factor it changes by. a. What should have happened to the pressure? 3. Describe the general relationship between pressure and volume of a gas. 4. Based on your data, what would you expect the pressure to be if the volume of the syringe was decreased to 2.5 mls? Explain your answer thoroughly or show your work using the Boyle’s law formula. 5. Based on your data, what would you expect the pressure to be if the volume of the syringe was increased to 40.0 mls. Explain your answer thoroughly or show your work or show your work using the Boyle’s law formula. 6. Calculate (pressure x volume) for each data point and record the answers in the data table above. How constant were the values PV. (Good data may show some minor variation, but the values for should be fairly constant and they should match the slope of the line that you recorded! 7. For your plot of pressure vs. 1/volume, you recorded the “Correlation” value. A “Correlation” value of 1.000 means a perfect fit for a straight line (or that your PV values were constant). How close was your “Correlation” value to 1.000? Be sure to include your correlation value in you answer and use a complete sentence to answer this question! 8. What specific lab procedure errors could have occurred that would have caused the R value to be off?
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