Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture Purpose: DCP 6 CE 5 To separate a mixture composed of 15 mL n-hexane and 15 mL cyclohexane by employing a simple distillation method, and then graphing temperature versus the changing volume of the distillate. Background: Simple distillation is a method of physically separating mixtures based on the different volatilities of the mixture’s components. Volatility is the tendency of a substance to vaporize. If a substance has a high volatility, it will therefore have a high vapor pressure. By definition, a substance reaches its boiling point when the vapor pressure, which acts on the surface of that substance, exceeds the surrounding atmospheric pressure in magnitude. Therefore, we can say the more volatile a substance is, the faster it will boil. In this experiment, n-hexane will be mixed with cyclohexane, both in the liquid state. N-hexane has a boiling point of 69.0 ˚C while cyclohexane has a boiling point of 80.7 ˚C. To separate this mixture by simple distillation, the following apparatus will be used. The organic mixture is placed in the distillation flask with boiling stones and is subject to heat. N-hexane will vaporize first, as it has the lower boiling point. The vapor will travel through the condenser and transform back into the liquid state to be collected by the receiving flask. To measure the amount of n-hexane being collected, a graduated cylinder will be used instead of the receiving flask. Once all the n-hexane is in the cylinder, the temperature should increase until cyclohexane begins to vaporize. Cyclohexane will then condense as well, entering the graduated Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture cylinder as a liquid. If the temperature is measured with respect to the growing volume in the graduated cylinder, a graph can be obtained that shows the relative boiling points of the two components. The parts of the graph in which the slope flattens (or tends to 0) describe be the boiling points of the two organic components. Source: General Chemistry 4th Edition Whitten, Gailey, Davis Hypothesis: If the simple distillation of mixture containing n-hexane and cyclohexane is successful, then the trend line that describes the temperature versus the changing volume of the distillate will be a polynomial of the 4th order. I expect this because when a substance reaches its boiling point, the temperature of that substance stays relatively constant (because of the enthalpy of vaporization) while the substance changes phases. As we are dealing with two boiling points, I expect the temperature to rise and flatten twice, which is indicative of four changes of slope on the graph, and therefore indicating a 4th ordered polynomial equation. Data Collection: Boling point of n-hexane: 69.0 ˚C Boiling point of cyclohexane: 80.7 ˚C Source: ChemSpider An organic mixture containing 15 mL of n-hexane and 15 mL of cyclohexane was made. The components and their uncertainties are shown in Table 1. Table 1 Title??? Volume of n-hexane Volume of cyclohexane 15.0 ± 0.1 mL 15.0 ± 0.1 mL The components were mixed in the distillation flask with boiling stones and placed in the apparatus. The heat was turned on and temperature was recorded against the volume of the distillate. This data is shown in Table 2. Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture Table 2 Title?? All Trials V / ± 0.1 mL Trial 1 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 22.0 24.0 26.0 28.0 30.0 70.0 70.5 71.0 71.0 71.0 71.0 71.5 72.0 72.0 72.5 73.0 73.5 74.0 75.0 75.0 Trial 2 Trial 3 T / ± 0.5 °C 70.5 70.5 71.0 71.0 71.0 71.0 71.0 71.0 71.5 71.5 72.0 72.0 72.0 72.0 73.0 72.0 73.0 72.5 74.0 73.0 75.0 74.0 76.0 74.5 76.0 75.0 76.0 77.0 76.5 77.0 Trial 4 71.0 72.0 72.0 72.0 73.0 73.0 73.0 73.0 74.0 74.0 74.0 76.0 77.0 77.0 78.0 Trial 5 71.0 72.0 72.0 72.0 72.0 72.0 73.0 73.0 73.0 74.0 74.0 75.0 76.0 78.5 78.5 Qualitative Data: Both n-hexane and cyclohexane were clear organic liquids with very sharp and poignant smells. The smell resembled that of isopropyl alcohol. The two organic liquids mixed seamlessly to form a uniform mixture. The white, brittle boiling chips were placed in the flask, and the flask was placed in a beaker of distilled water above the hot plate. The heating process then started, and bubbles started to form inside the distillation flask, indicating that the n-hexane had started to boil. Drops of n-hexane started to form in the graduated cylinder quite rapidly, and the alcohol smell permeated the classroom during this process. During the last 4-6 milliliters, the rate at which the temperature was increasing started to slow down, probably due to the small amount of organic liquid left in the distillation flask. Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture Data Processing: To create a temperature versus volume graph, the data in Table 2 will be averaged. A sample calculation of how the data was averaged is shown below, using the temperature values with respect to volume at 2 mL. TV 2 TT1 TT 2 TT 3 TT 4 TT 5 5 TV 2 (70.0 0.5C) (70.5 0.5C) (70.5 0.5C) (71.0 0.5C) (71.0 0.5C) 5 TV 2 353.0 2.5C 5 TV 2 353.0C 2.5C 5 5 TV 2 70.6 0.5C This mathematical process was repeated to get all average temperatures for each volume. The average temperature of all trials recorded against volume is shown in Table 3, which is shown on the next page. Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture Table 3 Title??? V / ± 0.1 mL Average T / ± 0.5 °C 2.0 70.6 4.0 71.3 6.0 71.4 8.0 71.4 10.0 71.8 12.0 72.0 14.0 72.3 16.0 72.6 18.0 72.9 20.0 73.5 22.0 74.0 24.0 75.0 26.0 75.6 28.0 76.7 30.0 77.0 The uncertainty of the volumes still reflects the precision of the graduated cylinder used to measure the organic liquids. The uncertainty of the average temperature still reflects the precision of the thermometer used. Table 3 will now be plotted on an X-Y graph below. Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture The R2 value indicates a very strong, 4th order polynomial regression. Both the horizontal and vertical error bars reflect the precision of the apparatuses used to measure temperature and volume. The horizontal error bars are not visible, as their magnitudes are too small relative to the scale of the graph. Knowing that the boiling points on the graph is represented by the slope tending to 0, we can make a good approximation of the experimental boiling point by considering the lines marked in red on the graph. These lines represent the point at which the slope of the graph was closest to 0. Thus we get: Experimental Boiling Point of n-hexane: 71.4 ˚C Experimental Boiling Point of cyclohexane: 72.7 ˚C I must stress that these values are visual approximations derived from the graph. They have no mathematical backing. Percent Error and Uncertainty: There are two percent errors for this experiment, the percent error of the boiling point of n-hexane, and the percent error of the boiling point of cyclohexane. The calculations are shown below. %e exp erimental theoretical 100 theoretical %en hexane 71.4 69.0 100 3.5% 69.0 %ecyclohexane 72.7 80.7 100 9.9% 80.7 To find the percent uncertainty for this experiment, the worst-case scenarios from Table 3 will be considered. The worst-case scenario value for the volume measurements is 30.0 ± 0.1 mL and the worst-case scenario value for the temperature measurements is 77.0 ± 0.5 °C. Therefore, the percent uncertainty for the experiment is: Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture 77.0 0.5C and 30.0 0.1mL considered %u ( 0.5 0.1 100) ( 100) 77.0 30.0 %u 0.65% 0.33% %u 1% Therefore, the percent error values are considerably larger than the percent uncertainty value, and thus more systematic errors were present. Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture Conclusion: The purpose of this lab was to separate a mixture composed of 15 mL n-hexane and 15 mL cyclohexane by employing a simple distillation method, and then graphing temperature versus the changing volume of the distillate. The purpose was achieved with great precision, as the percent uncertainty for the entire lab was about 1% and the regression coefficient of the 4th order polynomial trend line was 0.99598. However, the lab is lacking in accuracy, as the percent errors for the boiling points of n-hexane and cyclohexane, respectively, were 3.5% and 9.9%. Furthermore, these values in themselves are not mathematically concrete, as they were obtained by visual approximation of a graph. Needless to say, there was a lot of systematic error in the lab. Evaluation: (1) One underlying weakness, a systematic error, of this lab was the fact that the boiling points of n-hexane and cyclohexane were too close; 69.0 ˚C and 80.7 ˚C respectively. This caused the temperature vs. volume curve to appear flatter in slope than it should have, as there was not a precise moment in time where n-hexane stopped boiling and when cyclohexane started boiling, it just appeared that the two liquids continuously boiled. (1)´ To improve this weakness, the two organic liquids used should have had substantially different boiling points, with a minimum difference of 25 ˚C. This would have yielded a graph with a steeper slope, as the temperature would have increased more rapidly from the lower boiling point to the higher one, since they would have been farther apart. The problem with this is that both organic liquids must still have boiling points under 100 ˚C, as this is the temperature at which water boils, and water was being used to heat the distillation flask. (2) Another systematic weakness was that a small, 20 mL graduated cylinder was used to collect the condensated distillate, even though the final volume of distillate would amount to 30 mL. That means that we had to switch to another graduated cylinder during the experiment after the first one was completely filled. This could have obscured the accuracy of the temperature readings, as the volume was measured in two different graduated cylinders. (2)´ To fix this weakness, a graduated cylinder that can hold up to 30 mL of liquid should be used. This way, the volume may be measured more accurately, as only one apparatus would need to be used during the procedure. The entire distillation apparatus should also be manipulated to work with the bigger graduated cylinder, ensuring more accurate results. Bernardo Gouveia Mansur IB Chemistry HL Y2 3/6/16 Distillation of an Organic Mixture (3) A final limitation, which could be viewed as systematic as it relates to percent error, is that there was no reliable % error value for this lab, as the way we approximated the experimental boiling points was a mathematical crime. (3)’ A solution that would fix this would, again, be to use two organic liquids that differ to a greater magnitude in boiling points. This would have made the graph easier to approximate, as the point at which the slope tends to 0 would be more obvious. However, these systematic errors are in the nature of a simple distillation experiment. We will never achieve the ideal slope of 0 because boiling points in real life vary greatly and are more of a range than an exact value.