Report Sheet SOLUTION Laboratory Orientation Part 2 – Measurements and Handling Data in the Lab CHEM 110 * Remember that the scale on the measuring instrument can be read to a fraction of the LAST NAME smallest FIRST upon NAME the smallest scale division and LOCKER scale division. That fraction will depend the# judgement of the person reading the scale. In the case of the 100 mL graduated cylinder, the most likely precision for most people would be half of the smallest scale division (i.e., 0.5 mL) DATE LAB ± SECTION although one fifth (± 0.2 mL) could also be possible. It’s unlikely that the scale could be read to ± 0.1 mL though. In the case of the 25 mL graduated cylinder, it’s unlikely that the scale could A. Liquid Measuring (Personal Locker) be read any moreDevices precisely than to one fifth of the smallest scale division (± 0.1 mL). Calibration Smallest scale division Device Precision of calibrated scale 100 mL graduated cylinder TD TC 1 _________ mL 25 mL graduated cylinder TC 0.5 mL _________ * 0.1* mL ±_________ 10 mL _________ 1 ±_________ mL 25 mL _________ 5 ±_________ mL TD 150 mL beaker TD 400 mL beaker TD TC TC 0.5 mL ±_________ 1. Based upon the scale precision you reported above for a 100 mL graduated cylinder, calculate the percent uncertainty for the given volume readings. Show a sample calculation, as required in the box below. In each of the 5 cases below, report your results to the proper number of significant figures: Volume Reading 100.0 mL 80.0 mL 60.0 mL 40.0 mL 20.0 mL Percent Uncertainty 0.5 0.6 0.8 1 3 % % Show how this result was calculated: 0.5 mL × 100 100.0 mL % % % Your were asked to report these answers to the proper amount of sig figs because they are not being converted back to absolute uncertainties. See the section on Absolute and Percent Uncertainties in your lab manual for more information. 2. Which is the most suitable device to make a single measurement of 26.5 mL of water? a) b) c) d) 100 mL graduated cylinder 400 mL beaker 150 mL beaker 25 mL graduated cylinder IFS/06/08(rev05/09,05/11) ORT_1 2 B. Liquid Measuring Devices (Fume Hood at the end of your bench) Go to the fume hood at the end of your bench, where several pieces of glassware have been partially filled with solutions. Holding each piece of glassware, so that the meniscus is level with your eye, record and report the reading of the liquid with the appropriate degree of precision: Note: Readings may vary but sig figs should stay the Scale increments of 50 mL. Fume Hood 1 Fume Hood 2 Fume Hood 3 Readable to only the nearest 10 mL. same So, e.g., a reading of 380 mL would Device Reading Significant Figures be reported as 3.8 x 10 mL (2 sf). ~350-400 A 600 mL beaker 2 mL Scale increments of 10 mL. Readable to the nearest 1 mL at best. ~35 B 50 mL beaker mL 2 Scale increments of 10 mL (less widely spaced than B). Readable to the nearest 5 mL at best. C 1000 mL graduated cylinder ~850 mL 3 Scale increments of 1 mL. Readable to the nearest 0.5 mL at best. D 100 mL graduated cylinder ~80-90 mL 3 Scale increments of 0.2 mL. Readable to the nearest 0.1 mL at best. ~8.5 E 10 mL graduated cylinder mL 2 SHOW THIS PAGE TO YOUR INSTRUCTOR BEFORE LEAVING THE LAB FOR INSTRUCTOR USE ONLY: Parts A and B: Complete Incomplete Student Contract submitted: Yes No Student Questionnaire submitted: Yes No Comments: Instructor’s initials 3 C. Practice Problems: Handling Numbers and Dimensional Analysis If you’re not able to complete this part in the available time, the following questions can be answered at home. Be sure to check your answers on our website and submit the completed sheet at the beginning of the next lab session. 1. Examine the millilitre scale on the glassware below and notice the meniscus. Read the level of liquid, determine the uncertainty and report the number of significant figures in the reading: Reading 31.5 35 Uncertainty ± 0.5 30 Sig figs 3 25 or mL Convert this reading to units of litres. Show calculation with conversion factor(s): 0.2 (maybe even 0.1) mL A fraction of the smallest scale division, the value of which depends upon the scale and the person reading it. 31.5 mL × 1L 1000 mL 0.0315 L 2. A chemist reported a measured volume of a solution as 400 mL ± 10 mL. What is the value of this measurement in scientific notation? a) b) c) d) 4 × 102 mL 4.0 × 10-2 mL 4.0 × 102 mL 4.00× 102 mL 3. Express the following numbers as decimals: a) 2.300 × 10-3 0.002300 b) 8.08 × 10-6 0.00000808 4. Express the results of the following calculations in scientific notation to the correct number of significant figures: a) (3.6 × 10-3) × (2.40 × 10-6) 8.6 x 10-9 b) 30.0 ÷ (2.75 × 10-7) 1.09 x 108 c) (2.01 + 3.0) ÷ 0.05482 9.1 x 101 L 4 5. How many significant figures are there in each of the following measurements? a) 0.0002 L 1 b) 430 g 2 or 3 c) 0.020 kg 2 d) 23.20 mL 4 It’s ambiguous: if the measurement was made to the nearest gram, it’s 3 sf; if the measurement was made to the nearest 10 g, it’s 2 sf. If you missed any of these, please review Significant Figures in your Laboratory Guide 6. A builder is to construct a swimming pool on the roof of a building. The dimensions of the pool are 25.0 m x 10.0 m x 1.0 m. What mass, in units of tonnes, of water must the building’s structure be able to support when the pool is filled with water? Assume the density of water = 1.00 g/cm3. See Section 5 in your Laboratory Guide for conversion factors which will be needed to solve this problem. Adopt the Strategy for Problem Solving – see your lab manual. • What has to be solved? o START WITH pool dimensions (metres) END WITH mass of water (tonnes). • Gather Information: o Given pool dimensions 25.0 m x 10.0 m x 1.0 m density of water: 1.0 g/cm3 o Obtain conversion factors… 1 t = 103 kg 1 kg = 103 g 1 m = 100 cm ∴ 1 m3 = 106 cm3 (derived from 1 m = 100 cm) • Solve problem using dimensional analysis First find volume of pool in cubic metres: 25.0 m × 10.0 m × 1.0 m = 250 m3 (no rounding – intermediate result) Now use DA to find your way from cubic metres of water to tonnes of water: 250 m 3 × 106cm3 1 m3 × 1.00 g × cm3 1 kg 103 g × Answer: 1t 103 kg = 250 t 2.5 × 102 t (2 sf)