Laboratory 1 Scientific Measurements Objectives • Develop expertise with the analytical balance and commonly used laboratory glassware. • Understand the uses and limitations of each so that the appropriate lab equipment can be chosen for future experiments. • Determine the precision and accuracy of your results. Introduction Suppose that you have a glass measuring cup. The volume of water present inside the measuring cup is indicated by lines marked on the outside of the glass. You read the initial volume using these markings, pour some of the water into a mixing bowl, and then read the final volume. With these two values you can calculate the volume of water that you transferred to the bowl. Would this measured volume of water that you transferred from the glass to the bowl then be equivalent to the actual amount of water transferred? This may sound like a silly question. You may think, “Of course it is the actual amount, I just measured it!” But what if the lines that are marked on the glass are not very accurate? What if you were sloppy when reading the volume, or when pouring the water? It is quite possible the measured volume and the actual volume are different, and the amount of water added to the bowl is not what you initially thought it was. 1 Laboratory 1 The proper use of laboratory equipment is an important part of General Chemistry— so important that it can have a large effect on your laboratory results (and your grade). Therefore, in this experiment you will learn to use different laboratory glassware to properly transfer a liquid from one container to another (a very common laboratory task). Comparing the actual amount transferred with the amount you intended to transfer will provide insights into the accuracy of the different glassware, the proper use of the glassware, and your skills using the glassware. Discussion Pure water has a well-established density (mass/volume ratio) that depends on its temperature; the accepted value for the density being 1.000 g/cm3 at 4 °C. For the range of temperatures that are typically associated with “room temperature” (about 20 °C to 30 °C) the density of pure water is given by the following equation, determined experimentally: density f g cm3 p = f –0.00030 g cC cm3 # temperature (cC) p + 1.0042 g cm3 Suppose a chemist is using laboratory glassware to transfer some amount of water to a beaker. The chemist measures a volume of 25.0 mL (where mL, or milliliter, is a unit of volume; 1 mL = 1 cm3). How can you determine if 25.0 mL of water or a somewhat different volume was actually transferred by the chemist? In knowing the temperature, and hence the density, you can determine the actual volume transferred if you know its mass.1 With this information, you can compare the volume of water measured using the laboratory glassware to the actual amount transferred based on its mass and density. You can then calculate the percent error associated with these measurements using the following equation: percent error (%) = actual volume (mL) – measured volume (mL) actual volume (mL) # 100% Remember, the actual volume is the volume calculated using the mass and density and the measured volume is that measured by the chemist using the markings on the glassware. For additional resources to help you determine the correct number of significant figures to report for your calculations, see Appendix F: Treatment of Numerical Data. Reading Scale Values 50 Meniscus Eye level 30 20 2 1 ©Hayden-McNeil, LLC 40 The volume of a liquid is measured in graduated (marked) glassware by recording the position of the bottom of the meniscus, which is the curved surface of a liquid present in a tube or cylinder. As shown in the figure to the left, it is important to align your eye perpendicular to both the glassware and the bottom of the meniscus in order to obtain an accurate reading. Glassware like graduated cylinders, pipets, and burets are read in this manner. When reading a scale value, the number you record must include all the digits known exactly plus one that is estimated. This assumes the mass measurement is at least as accurate as the volume measurements, which, in this case, is an appropriate assumption given the analytical balances provided in the lab. Scientific Measurements In this example, the bottom of the meniscus is clearly greater than 36.0 and less than 37.0, but in the absence of markings between those two values the tenths place must be estimated; therefore, a reasonable estimate is 36.5 mL. In this lab, you will transfer water using two types of glassware: the buret and pipet. You will work with your group to compile data, but you will do your own individual transfers with each piece of glassware. Spot check: How many decimal places can you read from a buret? A pipet?2 Materials EquipmentCommon Equipment glass thermometer 2 100-mL beakers 25.00-mL buret buret clamp 5.00-mL pipet 10.00-mL pipet analytical balance Chemicals distilled water, H2O Procedure 1. Set up the data tables in your laboratory notebook as shown on the Report Sheets (pgs. 7–8). Record all information directly into your notebook. 2. Add some distilled water to a beaker and measure the temperature of the water. Calculate the density of the water at this temperature using the equation given on pg. 2. 3. Measure the mass of a second, empty beaker. Using the buret, transfer a measured volume of distilled water into the second beaker. The amount of water that you transfer is at your discretion. Measure the mass of the beaker and the water. Spot Check: How does the volume of water transferred affect the number of significant figures in your final percent error? 4. Calculate the mass of the water that has been transferred to the second beaker. Based on the density of the water that you calculated in step 2, calculate the actual volume of water that has been transferred to the second beaker. 5. Calculate the percent error using the equation on pg. 2 and record it in Table 1.1. 6. Use Table 1.3 to record the percent error data from all group members (including your trials). Make sure to record the chemist initials to identify group members. 2 Spot Check questions are not graded. These are to help guide you through the lab—they can be discussed with your group or your TA. 3 Laboratory 1 Spot Check: Which chemist performed the best transfer with the buret? Was the percent error similar for everyone in the group? 7. Have your TA check your group’s work before moving on to the pipet. 8. Repeat steps 3–6 twice using a pipet. You will use the 10.00-mL pipet for the one trial, and the 5.00-mL pipet for the other trial. It is OK if group members use the pipets in a different order. Use Tables 1.2 and 1.4 for the pipet data. Spot Check: Which chemist performed the best transfer with the pipet? 9. Have your TA check your group’s work before cleaning up your space. Q: What is a Report Sheet? All data taken in lab is written in your notebook. Report Sheets are used to organize data for your report after lab. They serve the purpose of tables, charts, and figures that contain data and observations. Report Sheets are labeled and located in your lab manual at the end of each experimental procedure. A Report Sheet MUST: 4 • Include all data to the correct number of significant figures. • Be completed after lab. • Be turned in on Carmen with any additional report requirements. Scientific Measurements Lab Reports Each student in the group is responsible for writing an individual lab report. You may have worked with classmates to collect and discuss data during lab, but your analysis and presentation of findings in the report must be your own work. A description of the parts of a lab report is included in the table below; for additional help, see Appendix B. Item Description Title Page A cover page with information about the report’s author and contents; this page should include the course number, your name, your TA’s name, the date the experiment was finished, and the date the report was submitted. Purpose Identifies the goal of the experiment; 1–2 sentences (in your own words) describing the purpose of the lab. Procedure Information on how the experiment was carried out. Reference the lab manual with an appropriate citation. Note any procedural changes you made as you performed the lab. Data/Report Sheets Specific data tables, or student-generated data tables, are included in most experiments. Sample An example of representative calculations. More information Calculations about specific calculations for each experiment can be found on the rubrics. Graphs/Figures Any plots generated during or after the experiment. Specific questions may be provided at the end of some Report Questions experiments. Three paragraphs that explain what specific information was deDiscussion termined in the experiment that you have completed. Conclusion A summary of the entire experiment and the results obtained. 5 Laboratory 1 6 Water Density (g/cm3) Empty Beaker Initial Mass (g) Trial Pipet Used Water (5.00 mL Temp (°C) or 10.00 mL) Water Density (g/cm3) Table 1.2 Transfer of water with a pipet. Trial Water Temp (°C) Table 1.1 Transfer of water with a buret. Empty Beaker Initial Mass (g) Buret Initial Reading (mL) Pipet Volume (mL) Buret Final Reading (mL) Beaker + Water Mass (g) Beaker + Water Mass (g) Mass of Water (g) Mass of Water (g) Actual Volume of Water (mL) Actual Volume of Water (mL) % Error % Error Laboratory 1 Report Sheet Scientific Measurements Name: __________________________________ Date:_______________ TA Name:_____________________ For Tables 1.1 and 1.2, enter your individual data. For Tables 1.3 and 1.4, enter your group members’ data as well as your individual percent errors. Actual volume is calculated using the density of water (equation on pg. 2) and its measured mass. 7 Laboratory 1 Report Sheet Table 1.3 Group percent errors with buret. Table 1.4 Group percent errors with pipet. Chemist Initials Trial % Error Chemist Initials Trial % Error Supporting calculations (density of water, mass of water, measured volume, actual volume, total volume, and percent error): 8 Scientific Measurements Data Analysis Scientists commonly summarize and analyze data using tables, figures, and/or calculations. Now that you’ve collected data, it’s appropriate to work it up, so to speak. Plot the percent error results for your group using the figures below. Label divisions for the x-axis scale using numbers that are appropriate for the range of values of error of your group. EXAMPLE: You should include marks for every point and appropriate scale readings. Negative –3.0 X –2.0 X –1.0 Positive X 0.0 1.0 2.0 3.0 Figure 1.1 Percent error for buret. Negative Positive 0.0 Figure 1.2 Percent error for pipet. Negative Positive 0.0 Prepare a table below that summarizes the range of percent error values and the average percent error values for the glassware in your notebook. Table 1.5 Percent error calculations for laboratory glassware. 9 Laboratory 1 Report Questions 1. Suppose an experiment called for the transfer of 10.00 mL of a liquid and accuracy and precision of the volume was important. What glassware would you use? Explain your reasoning and use supporting data from this experiment. 2. Suppose an experiment called for the transfer of 17.50 mL of a liquid and precision of the volume was important. What glassware would you use? Explain your reasoning and use supporting data from this experiment. 3. In this experiment you measured or calculated several properties of matter, including temperature, mass, volume, and density. Which of these are intensive properties and which are extensive properties? In your answer communicate an understanding of these terms and use data to support your reasoning. 10 Scientific Measurements Points to Consider • Do the experimental results indicate the presence of determinate errors? Of indeterminate errors? • Take a look at your buret data. Discuss your accuracy and precision using just your information. Identify sources of error that could have affected your accuracy and precision. • Take a look at your group’s average percent errors for the pipet. Discuss the group’s accuracy and precision as a whole. • Reflect on how the equipment you used in lab affected the significant figures of your final calculations. Use these points to consider to shape your discussion. For full points, address each point thoroughly and support your conclusions with data. 11 Laboratory 1 12
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