CP Chemistry Theodore Roosevelt High School Lab #3-5 Ideal Gas Constant Lab Introduction The ideal gas law is represented by the equation PV = nRT, where R is the ideal gas constant. In this lab, you will attempt to experimentally determine the value of R. To do this, you must determine the values of P, V, n and T by generating and collecting a sample of hydrogen gas from the reaction between magnesium and hydrochloric acid in an upside-down graduated cylinder. The hydrochloric acid will be in excess and the magnesium ribbon will be wrapped in a copper wire ‘cage’ to ensure that the magnesium ribbon reacts completely and produces the proper amount of hydrogen gas. Purpose Based on the introduction above, determine the purpose of this lab and include it in your lab write-up. Prediction Do you expect that the atmospheric pressure in the lab will be above or below standard atmospheric pressure (101.3 kPa)? Explain. Materials copper wire [Cu] hydrochloric acid, 3.0 M [HCl] magnesium ribbon [Mg] Equipment beaker, 400 mL gas pressure sensor graduated cylinder, 10 mL latex gloves pipette rubber stopper, one-hole ruler thermometer Safety Considerations • 3M hydrochloric acid is dangerously caustic! Avoid contact with the skin and eyes. • Safety goggles must be worn at all times; gloves must be worn in Steps #5-8. • Sometimes chemicals from previous labs still remain in glassware and on other lab equipment; wash all lab equipment before and after performing this lab. • Wash your hands thoroughly after completing this lab. Procedure 1. Using a ruler, measure and record the exact length of a small piece of magnesium ribbon. The length of the ribbon piece should be between 0.6 and 0.8 cm. 2. Wrap the copper wire around the magnesium ribbon, making a ‘cage’ that surrounds the ribbon as shown in the first figure to the right. Leave a handle of copper wire approximately 6 cm long. 3. Insert the handle end of the copper wire into the one-hole rubber stopper as shown in the second figure to the right. 4. Fill the 400 mL beaker approximately half full with tap water. 5. While wearing latex gloves, use a pipette to add approximately 3 mL of 3.0 M hydrochloric acid to the graduated cylinder. 6. Using the pipette, gently fill the graduated cylinder by drizzling water down the inside wall of the cylinder to avoid CP Chemistry 7. 8. 9. 10. 11. 12. 13. Theodore Roosevelt High School Lab #3-5 mixing with the acid. Since HCl is more dense than water, it will stay at the bottom of the cylinder. Gently insert the stopper into the graduated cylinder while keeping the copper wire cage at the top of the cylinder. While holding your finger over the hole in the rubber stopper, quickly but carefully turn the graduated cylinder upside down and place it into the beaker of water as shown in the third figure to the right. Once the top of the cylinder is underwater, remove your finger and rest the cylinder in the beaker while the reaction proceeds. When the magnesium ribbon is no longer reacting, tap the side of the cylinder to release any trapped gas bubbles. Let the cylinder sit for 5 minutes so that the temperature of the system returns to room temperature. Measure and record the temperature of the water in the beaker. Using the gas pressure sensor, measure and record the atmospheric pressure in the lab. Lift the graduated cylinder slightly until the levels of water inside and outside the cylinder are the same. Measure and record the volume of gas in the cylinder. Remove the cylinder from the beaker, remove the stopper from the cylinder, and dispose of the liquid in both containers in the sink. Clean all lab equipment used and return each item to its proper place. Additional Clean-up and Disposal 1. Empty the solids from your waste beaker in the trash and dump the tap water in the sink. Data – you should create a data table in your lab write-up that looks something like this: Property Value length of Mg ribbon water temperature Water Vapor Pressure Table T (°C) 0 1 2 3 4 5 6 7 8 9 10 11 P (kPa) 0.61 0.66 0.71 0.76 0.81 0.87 0.93 1.00 1.07 1.15 1.23 1.31 T (°C) 12 13 14 15 16 17 18 19 20 21 22 23 P (kPa) 1.40 1.50 1.60 1.70 1.82 1.94 2.06 2.20 2.34 2.49 2.64 2.81 T (°C) 24 25 26 27 28 29 30 31 32 33 34 35 P (kPa) 2.98 3.17 3.36 3.56 3.78 4.00 4.24 4.49 4.75 5.03 5.32 5.62 T (°C) 36 37 38 39 40 50 60 70 80 90 100 P (kPa) 5.94 6.27 6.62 6.99 7.37 12.3 19.9 31.2 47.3 70.1 101.3 Calculations (Include these answers in your Conclusion!) 1. Knowing that 100.0 cm of magnesium ribbon has a mass of 1.06 g, calculate the number of moles of magnesium that were reacted (hint: convert your recorded length to grams, then to CP Chemistry 2. 3. 4. 5. 6. 7. Theodore Roosevelt High School Lab #3-5 moles). Using the balanced equation for the reaction between magnesium and hydrochloric acid, determine the number of moles of hydrogen gas that were produced. Determine the pressure of the hydrogen gas by subtracting the water vapor pressure of the system from the atmospheric pressure. Convert the volume of hydrogen gas produced from milliliters into Liters. Convert the temperature of the system into Kelvins. Using the pressure, volume, temperature and moles of hydrogen gas in this system, calculate your experimental value of the ideal gas constant, R. Using the accepted value for the ideal gas constant, R, determine the percent error for your experimental value of the ideal gas constant. Questions 1. Using your experimental value of R, determine the molar volume of a gas at STP (solve for n if V = 1 L). How does this compare to the accepted value, 22.4 L/mol? 2. Describe three observations from your lab that showed a chemical reaction took place. 3. When exposed to hydrochloric acid, the copper wire reacted very differently than the magnesium ribbon. What chemical explanation can you give for why this occurred? Errors Describe two possible errors you may have committed in this lab that may have somehow affected your results. Explain the specific steps you will take to avoid each of these errors in the future. Conclusion Write two or more paragraphs summarizing your results, examining the validity of your prediction, and explaining your calculations. CP Chemistry Theodore Roosevelt High School Ideal Gas Constant Lab workspace: Lab #3-5
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