Name Lab Day Charles’ Law Introduction: Matter in the gaseous state consists of molecules which are far apart and in constant motion; their speed or molecular motion is directly related to the temperature of the gas. From everyday life, when a gas is heated, it expands and when cooled, the volume decreases. Tire inner tubes and balloons are common objects which will readily show this change in volume according to changes in temperature. The law of Charles expresses this relationship between the volume of a given mass of gas and the temperature, where the pressure is constant. Charles’ law may be expressed as: V T or V = kT Where V is the volume, T is the Kelvin temperature, and k is a proportionality constant. If the volume of the same sample of gas is measured at two temperatures, then solving for k gives: k= V V V = 1 = 2 T T1 T2 or V2 = V1 × T2 T1 The general plan of this experiment is to determine the amount of contraction of the air in a flask when the temperature changes from that of boiling water to that of a cold water bath (or ice water). Procedure: Set-up the apparatus shown below: You can replace the burner, wire gauze, and ring with a hot plate 2 The inside of the flask must be thoroughly dry. Insert the stopper and tube, then mark the lower level of the stopper with a wax pencil. Now, follow the following steps: 1. Heat the water in the beaker to boiling and continue heating it for about 10 minutes. You may assume that the air in the flask is now the same temperature as the boiling water. Record this temperature on the data sheet. 2. While the flask is still in the boiling water, seal it by clamping the rubber tubing tightly with a screw or pinch clamp. Remove the flask from the boiling water bath and invert it in a trough of cold water. Remove the clamp, letting cold water flow into the flask. Submerge the flask, and keep it submerged for at least 10 minutes, weighing it down if necessary. 3. Record the temperature of the cold water used to cool the flask on the data sheet. Equalize the pressure within the flask with the atmospheric pressure by raising the flask until the water levels inside and outside the flask are the same. Pinch the rubber tubing to close the flask. Remove the flask from the cold water and set it upright on your lab bench. 4. Remove the stopper assembly. Use your graduated cylinder to carefully measure the volume of water that flowed into the flask. 5. Fill the flask to the wax pencil mark with water. Measure the total volume of water in the flask. 6. Repeat steps #1 – #4 again for a second trial (if you use a different flask, you will also need to do step #5 again). 3 Name Date Report for Charles’ Law Experiment: Data: Run 1 Run 2 1. temperature of boiling water K K 2. temperature of cold water K K 3. volume of water collected in flask mL mL 4. volume of air at higher temperature mL mL 5. volume of air at lower temperature ( #4 – #3) mL mL Calculations: 6. Step #5 above is the actual volume of the cooled air. Calculate the theoretical volume using Charles’ law: Vcool air = 7. Vhot air × Tcool air Thot air What is your percentage error? % error = Vtheoretical - Vactual × 100 = Vtheoretical Vstep#6 - Vstep#5 Vstep#6 × 100
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