The Determination of the Value for Molar Volume

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Name AP Chemistry The Determination of the Value for Molar Volume Objective Using a chemical reaction that produces a gas, measure the appropriate values to allow a determination of the value for molar volume. Brief Overview The chemical reaction to be used is this: Mg(s) + 2 HCl(aq) ---> MgCl 2 (aq) + H 2 (g) This reaction has a 1:1 mole ratio between magnesium used and hydrogen produced. This will allow an easy determination of the moles of H 2 by determining the mass of Mg consumed in the reaction. The mass of Mg will be determined by comparing the length of ribbon used to the mass of one meter of ribbon. A hidden assumption of this lab is that two different lengths of the ribbon are uniform in width & thickness. The gas will be collected "over water." This means that the gas produced is in contact with liquid water. The consequence of this is that the gas in the tube WILL NOT be pure H 2 ; it will have some water vapor mixed in. The mixture is usually called "wet gas" and its production is unavoidable. However, using Dalton's Law of Partial Pressures, we will be able to remove the water vapor's pressure, thereby recovering the "dry" hydrogen gas' pressure. Corrections to the temperature and pressure at the time of the experiment will also be required, since the molar volume value we are seeking is measured at Standard Temperature and Pressure (STP). Using the Combined Gas Law, we will be able to make the necessary corrections. Equipment and Reagents 2 Liter Beaker or Battery jar 100 ml Eudiometer 30 cm piece of copper wire 1-hole stopper Small piece of magnesium ribbon (3 cm) 6 M hydrochloric acid The teacher will use a barometer and thermometer to determine the room pressure and temperature. Procedure Experiment Set-up 1) Fill the 2-Liter beaker 3/4 full with tap water. 2) Cut and record the exact length of the Magnesium it to the nearest 0.01 cm and record this value in your data table. Use and scale and determine the mass of the magnesium and place this in the table. 3) Fold the Mg ribbon a few times, then create the copper wire cage around it. Wind the wire in different directions, so there are many small openings rather than one or two big ones. Leave 4-5 cm or so of wire unrolled to act as a handle. See figure #1 below

4) Fill the gas measuring tube with 10 ml of acid 5) Fill the gas measuring tube to the top with tap water. Use the 150 ml beaker for this. Pour water slowly so that you wash acid drops near the open mouth of the tube downward. Stop pouring twice and rotate the tube part-way, so as to wash the entire inside of the tube. The Mg will immediately start reacting with any acid present, so make sure to rinse the acid downward. Fill the tube so full with water that the water actually bulges upward from the lip of the gas measuring tube. Use the distilled water bottle for the last few drops. Procedure Experimental Steps A. Reacting the magnesium and hydrochloric acid 6) Place the copper wire cage in the open mouth of the gas measuring tube. The cage should be halfway from the mouth of the tube to the 50 ml mark on the tube, only 3-5 cm into the tube. Trap the wire handle against the gas measuring tube wall by inserting the rubber stopper into the tube. Be aware that, if there is some acid near the top, the Mg will start reacting immediately. If this happens, continue on to the next steps at a normal rate of work. 7) Place your finger over the rubber stopper holes and invert the gas measuring tube. DO NOT remove your finger until you are under the water level in the next step. 8) Place the inverted tube into the water in the battery jar, then remove your finger. 9) The acid is denser than the water. Watch as it drops down through the water and reaches the Mg ribbon. The reaction will start slowly. KEEP WATCHING!! When the reaction ceases, let everything sit for 2-3 minutes before continuing. Try to dislodge any bubbles that might be caught by the copper wire cage. 10) As you work, the teacher will read the barometer and thermometer. When the values are announced, record them in your data table.

B. Measuring the volume of gas produced 11) Covering the hole in the stopper with your finger, transfer the eudimeter to a large ungraduated cylinder that is full of water. Move the tube up and down until the level of the liquid inside the tube matches the level of the water in the cylinder. This ensures that the pressure of the gases equals room pressure. Record the level of gas in the eudiometer. 12) When the gas pressures are equalized, read the volume of gas from the scale on the tube. Read it to the closest 0.1 ml and record this value in your data table. Please note that zero is at the top of the tube. Read the value from the top down, not from the 50 ml mark going up. III. Clean-up Steps 13) Pour all liquids down the drain, then rinse all glassware three times with tap water. When done rinsing, let the water run for 2 more minutes. If you got any of the liquid on your skin, rinse the area for 2 minutes. You do not need to dry the equipment, just place everything on paper towels on a part of the table toward the wall. 14) Dry the surface of the table and discard all used paper towels. Throw the wire cage in the trash. Do not keep it. 15) Remove goggles and aprons when directed to do so. Data Table and Discussion Mg length (cm) Mass of Mg (g) Room temperature ( Celsius) Room pressure (atm) wet gas volume (ml) from experiment Determine the: 1) Moles of magnesium used. 2) Moles of hydrogen gas produced (use balanced equation)

3) Pressure of the "dry" hydrogen gas. (See - Vapor Pressure Data for Water)** Hint, for this you will have to factor out the pressure of H 2 O vapor and use the room pressure. 4) Volume of "dry" hydrogen gas at STP **Hint, use the combined gas equation 5) Value (in liters/mole at STP) for molar volume. Use the data from your experiment. 6) Percent error. The true value for molar volume at STP is 22.414 L/mol. Questions: 1. Where are some sources of error in this experiment? 2. Why did the water level in the Eudiometer and the 2-Liter beaker need to be the same? 3. Do you think a weaker acid could work in this experiment? Why or why not?

Vapor Pressure Data for H 2 O Temperature kpa Temperature kpa 15 1.7056 65 25.022 16 1.8185 66 26.163 17 1.938 67 27.347 18 2.0644 68 28.576 19 2.1978 69 29.852 20 2.3388 70 31.176 21 2.4877 71 32.549 22 2.6447 72 33.972 23 2.8104 73 35.448 24 2.985 74 36.978 25 3.169 75 38.563 26 3.3629 76 40.205 27 3.567 77 41.905 28 3.7818 78 43.665 29 4.0078 79 45.487 30 4.2455 80 47.373 31 4.4953 81 49.324 32 4.7578 82 51.342 33 5.0335 83 53.428 34 5.3229 84 55.585 35 5.6267 85 57.815 36 5.9453 86 60.119 37 6.2795 87 62.499 38 6.6398 88 64.958 39 6.9969 89 67.496 40 7.3814 90 70.117 If you need to convert to atmospheres, divide number below by 101.325.