Experiment 6-1 The Gas Laws Lab Report = 150 Introduction: In part 1 of this experiment, a given quantity of gas will be trapped in a syringe. The pressure on this gas will then be increased by placing weights (books) on top of the plunger of the syringe. The total pressure acting on the gas consists of the weight of the books plus the weight of the atmosphere acting on the syringe. Symbolically we write: Total pressure = pressure due to books + pressure due to atmosphere ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Objectives: 1. Observe the effect of increasing pressure on the volume of a confined gas. The volume of the gas will be recorded for each of the pressures used. The data (values for pressure and volume) will be plotted on a graph in several ways in order to find a simple mathematical relationship between pressure and volume. In part 2 of this experiment, a given quantity of gas will again be trapped in a syringe, but this time we will keep the pressure constant and change the temperature by immersing the syringe in a water bath. 2. Observe the effect of increasing temperature on the volume of a confined gas. 3. Construct a volume-temperature graph from the collected data and determine from the graph the volume of a gas at absolute zero. ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Equipment: Safety glasses 1 30-35 mL sealed syringe 1 set of support blocks 5 "standard" books 600 mL beaker temperature probe or thermometer tongs ice hot plate ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Experiment 6-1 Page 1 Precedure: Part 1 1. Adorn your laboratory apron and safety glasses. 1. As in part 1, set the syringe plunger to about 75% of capacity. 2. Pull the syringe out 5 ml and let it snap back. 2. Measure the barometric pressure of the room atmosphere and record this value in the data table. Convert this pressure to kiloPascals. 3. Read the syringe and place the value on line 1 under Volume OUT in the data table. 3. Separate the syringe cylinder from the piston, and measure the internal diameter of the cylinder. Calculate the radius of the cylinder and the crosssectional area. 4. Push the plunger in 5 ml and let it snap back. 4. Measure the mass of the piston 6. Average the two readings and place the value under volume average. 5. Set up your ring stand with utility clamp. You will clamp the plunger in the middle to give support. Make sure you don’t twist too hard on the clamp so you don’t change the volume of the plunger. 7. Record the room temperature on line 1 under temperature. 6. Set the plunger of the syringe to about 90% of capacity by removing the cap and placing the plunger at 90% capacity, place the cap back on. If the plunger binds on the sides of the syringe, remove the plunger, apply a very thin layer of glycerol to the rubber seal, and reinsert the plunger. Place the syringe in the support blocks. Tap the syringe several times, then record the volume of the trapped gas to the nearest 0.1 mL and the relative pressure as 0 "books". Tap again and read again. And again. Then average the values. 6. Carefully center a text book on top of the plunger. (any textbook will do, but you will need five copies of the same textbook to complete the experiment.) Tap the book several times, then record the volume of the gas trapped in the syringe when a load of one book is on the plunger. Repat twice and average the results. One team member will probably have to help balance the books, try not to put extra pressure on the books. 7. Now add another textbook and carefully determine the volume three times and record the data. Continue in this manner until a pressure of 5 books is obtained. Part 2 ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Experiment 6-1 5. Read the syringe and place the value on line 1 under Volume IN in the data table. 8. Place the syringe in the ice bath for 5 minutes. Keep it attached to the ring stand. Make sure you can read the plunger in the water bath, so you should probably move the plunger to the edge of the beaker. Keep the syringe in the water while reading it. 9. Read the syringe as in steps 2-6 above in Part 2. 10. Record the temperature of the ice bath on line 2 under temperature. 11. Place the syringe in a warm (≈40°C) water bath. You will have to move the clamp up on the ring stand. 12. Repeat steps 2-6 above to read the syringe. Keep the syringe in the water while reading it. 13. Record the temperature of the water bath on line 3 under temperature. 14. Turn the hot plate on high and monitor the temperature. When it reaches ≈60°C, record the temperature and volume of the gas in the syringe as in steps 2-6. 15. Repeat step 14 at ≈80°C and ≈100°C. Page 2 •Data (20): Atmospheric pressure: ____________ mm Hg = _______________ kPa Diameter of syringe cylinder: _____________ cm Mass of piston assembly: __________g Weight of Heath Chemistry Text: 4.10 pounds Table 6.1.1 Pressure and Volume Data Relative P (books) 0 1 2 3 4 5 V1 (mL) V2 (mL) V3 (mL) Vavg 1/V (1/mL) (mL) Absolute P (kPa) P*V (kPa*mL) % dev Average (10)Stamp........... Table 6.1.2 Volume and Temperature Data Trial # IN Volume (mL) OUT Tempe rature average oC oK (10)Stamp........... ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Use dimensional analysis to show all derivations! Calculations (30): Calculation tips: make sure all units are in SI base units such as length in meters, mass in kilograms, and pressure in Pascals. Weight is in Newtons (2) 1. In part 1, the total force acting upon the confined air volume when no weight is on the block is equal to the sum of the atmospheric pressure and the weight of the upper support block and piston. The downward force (weight) exerted by any object is equal to the product of its mass and the acceleration due to gravity (9.81 m/s2). To determine the contribution of the block and piston assembly, the weight of this unit must be divided by the surface area in contact with the confined air volume. Since you measured the internal diameter of the cylinder, the area in contact with the piston may then be derived using the formula, A = πr2. Experiment 6-1 Calculate the internal radius of the cylinder (diameter/2). (2) 2. Calculate the area of the cylinder/piston interface in m2. (2) 3. Use the mass of the piston to calculate the downward force (weight) of the piston (weight = mass * acceleration due to gravity). (4) 4. Convert the weight of the piston-block assembly to pressure in kPa. (Pressure = force/area). Remember pressure would be in Pascals because N/m2 is a Pascal therefore you need to show conversion from Pascal to kilopascal. (2) 5. Find the pressure exerted by the atmosphere and the piston-block assembly on the trapped gas (air). Page 3 Total pressure = atmospheric pressure + pressure due to piston-block assembly. (4) 6. Determine the force exerted by each book. Force = mass * acceleration due to gravity. (4) 7. The pressure exerted on the gas by a book is equal to the weight of the book divided by the surface area in contact with the gas. Calculate the pressure in kPa and record it. (4) 8. Calculate the sum of the appropriate "book" pressures and add them to the total "no weight" ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Analysis and Conclusions (92): Part 1 (20) 1. Construct a smooth graph (Graph 1) of absolute pressure versus volume on Excel. Be sure to label axes properly. (20)2. Graph absolute pressure against 1/V (Graph 2). Be sure that your horizontal scale starts with 1/V = 0 at the y-axis. Draw the best straight line through these P vs 1/V plots, making sure to extrapolate to the y-axis. (4)3. According to these graphs, what is the mathematical relationship between pressure and volume of a gas. (4)4. Find the average value of P * V, and assume it to be the correct value. Then find the % deviation for each of your P*V values. Calculate the average % deviation. (4) 5. Have you verified Boyle's Law within reasonable error? Explain. pressure to obtain the total pressure acting on the system. Record the total pressures in Data Table 6.1.1. (4) 9. Calculate P * V , the product of pressure and volume, for each set of data, and record your values in Data Table 6.1.1. Part 2 (2) 10. Convert each recorded temperature from °C to kelvins. Label the temperature scale in both oC and K. Draw the best straight line that approximates the data points and use dashes to extrapolate and find the value of the temperature that corresponds to the gas occupying no space. (4)7. The graph would imply that at some cold temperature the gas would no longer have any volume. According to your extrapolation, what would the temperature be when the gas ceased having volume? (4)8. How does the value of the x-intercept on the graph compare with the accepted value of absolute zero? (4)9. Is your data consistent with Charles' Law? Explain. (4)10. The pressure did not vary during this experiment because all of the trials were performed at constant room pressure. If the pressure had varied, how would it have affected your results? Explain. Part 2 (20) 6. Plot a graph (Graph 3)of volume versus (4)11. What factors might contribute to error in this temperature on a full sheet of graph paper. Plot experiment? temperature as the independent variable (x-axis) and volume as the dependent variable (y-axis). ••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• Synthesis (8) (4)1. If a helium filled balloon is released at the earth's surface, what is it's eventual fate? Explain! (4)2. Aerosol spray cans should never be thrown into fires or disposed of in incinerators. Explain! Experiment 6-1 Page 4