65 MOLECULAR WEIGHT I. Rationale The molecular weight of a substance is one of its most important characteristics. If the composition of a substance is known, the molecular weight is often the key necessary to determine its structure. One of the methods commonly used to determine the molecular weight of a substance is based on the observation that the freezing point of a solution changes in proportion to the number of molecules of the substance which is dissolved in the solution. In this exercise we will make use of this fact to determine the molecular weight of camphor. II. Prerequisites 1. Make sure that you know how to graph scientific data. 2. Bring a pencil so that you can draw graphs. 3. As required In GENERAL INFORMATION - LAB, be ready to turn in a COPY of your Equipment list 4. Be able to answer the following questions: A. What is meant by “molal freezing point depression”? B. What is the molecular weight of camphor? (Look it up.) C. What should be the range on the vertical axis of your graph? III. Objectives When you are finished with this laboratory exercise you should be able to: 1. Measure the freezing point of a liquid and determine the decrease in freezing point which occurs when a solute is dissolved in the liquid. 2. Prepare a graph of temperature of the liquid vs. time, and use this graph to determine the freezing point of the liquid. 3. Calculate the molecular weight of a solute based on the freezing point depression which is produced in a solvent. 66 IV. Lab Exercise 1. Introduction Whenever one mole of a covalent solute is dissolved in 1000 gm of benzene, the freezing point of the solution is 5.12o lower than the freezing point of pure benzene. The decrease in freezing point is proportional to the number of moles of solute dissolved: 0.5 moles causes a decrease of 2.56o, or half of that caused by one mole. The decrease in freezing point of 1000 gm of solvent caused by one mole of any solute is characteristic of each solvent, and is called the molal freezing point depression, molal Îfp. The molal Îfp for benzene is therefore 5.12oC; the molal Îfp for naphthalene is 6.9oC. Therefore, if you measure the decrease in freezing point that occurs when a known weight of a solute is dissolved in 1000 gm of a specific solvent, you can calculate the number of moles of the solute that was dissolved, and from that the molecular weight of the solute can be calculated. 2. The freezing point data Thoroughly clean and dry a large test tube and thermometer. Warm the test tube over a flame to ensure drying. Usually, when we weigh a solid, we use a weighing pan. But any container could be used. In this case we will use a test tube as the container instead of a weighing pan. Weigh the test tube to the nearest 0.01 gm. test tube _____gm Fill half-full with naphthalene and determine the mass of the naphthalene to the nearest 0.01 gm by difference. test tube + naphthalene _____gm naphthalene _____gm Figure 1 Assemble the apparatus as shown in Figure 1: Make sure to use a 250 ml beaker full of water. Place the cardboard cap (a 3 cm x 3 cm square with a hole punched in the center) as shown, but do not insert the thermometer until the solid below the waterline in the beaker has melted. Place the test tube as close to the bottom of the beaker as you can without actually touching the bottom. Heat the water until the naphthalene is completely melted. 67 Remove the flame but leave the test tube in the hot water. When the temperature drops down to 85o begin stirring gently with the thermometer and begin to record the temperature to the nearest half-degree every 30 seconds while continuing to stir until the temperature has dropped to 70oC. NOTE: You may remove the thermometer at this point -- but DO NOT clean it and DO NOT lose any of the solid which sticks to it! Refill the beaker to replace water which has boiled away. Add about 0.7 gm of camphor (weighed to the nearest 0.01 gm), being sure that no camphor is lost on the side of the test tube. camphor _____gm Melt the naphthalene again by reheating the water. Stir gently with your thermometer until the camphor is dissolved. Stop heating and after the temperature drops to 85o begin stirring again. Record the temperature to the nearest half-degree every 30 seconds until the temperature reaches 70oC. You will probably see little, if any, period of constant temperature like you saw with pure naphthalene. Instead, the temperature will continue to decrease as the solution freezes. Remove the thermometer from the test tube and wipe it clean with a paper towel before it cools much more. Remove the test tube from the hot water and allow it to cool to room temperature. Then discard it in the bottle in the hood labeled Organic according to the directions given in the box at the end of this exercise. 3. Determination of freezing points Prepare a single graph (as illustrated in Figure 2) for both your data for pure naphthalene and for the camphor in naphthalene. Plot temperature on the vertical axis vs time on the horizontal axis. NOTE: Use a range of 70o to 85o on the vertical axis. Draw the best line among the points for each set of data. Label each curve with the name of the solvent or the name of the components of the mixture. Make sure that the overall graph is labeled properly. Your graph should resemble Figure 2. 68 Figure 2 Notice that each "cooling curve" is made up of two more or less straight lines. The slope of the lines starts off rather steeply, then at a certain temperature you will notice that the slope becomes less steep - it is not cooling at all (the pure solvent), or it is cooling more slowly than before (the mixture). For each curve, the temperature at which the curve changes slope is the freezing point. Record the freezing points which you can see from your curves: freezing point of pure naphthalene _____ freezing point of naphthalene + camphor _____ 4. Molecular Weight Calculate the difference in freezing point from your two freezing points: ÎT _____oC 69 Use the following equation, your experimental ÎT, and the molal Îfp for naphthalene (given in the introduction), calculate the number of moles of camphor per 1000 gm of naphthalene (Mc): Mc = __ÎT____ molal Îfp = __________ moles camphor per 1000 gm naphthalene Calculate the weight of camphor per 1000 gm of naphthalene (Wc), based on the weights that you used: Wc = gm camphor used x 1000 = _____ gm camphor per 1000 gm naphthalene gm naphthalene used Calculate the molecular weight (the weight of one mole) of camphor from the above two results: molecular weight = Wc = __________ Mc How does this compare with the molecular weight which you looked up? Waste Disposal: Carefully place your test tube and its contents into the "Organic" container. Tilt the waste bottle and let the test tube slide down the side to avoid splashing.