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Chapter 1, Section Chapter 1 Chemical Foundations 1.3 Units of Measurement Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 1 Measurement You make a measurement every time you • measure your height. • read your watch. • take your temperature. • weigh a cantaloupe. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 2 Measurement in Chemistry In chemistry we • measure quantities. • do experiments. • calculate results. • use numbers to report measurements. • compare results to standards. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 3 Measurement In a measurement • a measuring tool is used to compare some dimension of an object to a standard. • of the thickness of the skin fold at the waist, calipers are used. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 4 Stating a Measurement In every measurement, a number is followed by a unit. Observe the following examples of measurements: Number and Unit 35 m 0.25 L 225 lb 3.4 hr 5 The Metric System (SI) The metric system or SI (international system) is • a decimal system based on 10. • used in most of the world. • used everywhere by scientists. 6 The 7 Basic Fundamental SI Units Physical Quantity Name of Unit Abbreviation Mass kilogram kg Length meter m Time second s Temperature kelvin K Electric current ampere A Amount of substance mole mol Luminous intensity candela cd 7 Units in the Metric System In the metric and SI systems, one unit is used for each type of measurement: Measurement Metric SI Length meter (m) meter (m) Volume liter (L) cubic meter (m3) Mass gram (g) kilogram (kg) Time second (s) second (s) Temperature Celsius (°C) Kelvin (K) 8 Length Measurement Length • is measured using a meter stick. • uses the unit of meter (m) in both the metric and SI systems. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 9 Inches and Centimeters The unit of an inch is equal to exactly 2.54 centimeters in the metric (SI) system. 1 in. = 2.54 cm Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 10 Volume Measurement Volume • is the space occupied by a substance. • uses the unit liter (L) in metric system. • 1 L = 1.057 qt • uses the unit m3(cubic meter) in the SI system. • is measured using a graduated cylinder. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 11 Mass Measurement The mass of an object • is the quantity of material it contains. • is measured on a balance. • uses the unit gram (g) in the metric system. • uses the unit kilogram (kg) in the SI system. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 12 Temperature Measurement The temperature of a substance • indicates how hot or cold it is. • is measured on the Celsius (°C) scale in the metric system. • on this thermometer is 18ºC or 64ºF. • in the SI system uses the Kelvin (K) scale. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 13 Time Measurement Time measurement • uses the unit second(s) in both the metric and SI systems. • is based on an atomic clock that uses a frequency emitted by cesium atoms. Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 14 Learning Check Identify the measurement that has an SI unit. A. John’s height is 1) 1.5 yd. 2) 6 ft . 3) 2.1 m. B. The race was won in 1) 19.6 s. 2) 14.2 min. 3) 3.5 hr. C. The mass of a lemon is 1) 12 oz. 2) 0.145 kg. 3) 0.6 lb. D. The temperature is 1) 85°C. 2) 255 K. 3) 45°F. 15 Solution A. John’s height is 3) 2.1 m. B. The race was won in 1) 19.6 s. C. The mass of a lemon is 2) 0.145 kg. D. The temperature is 2) 255 K. 16 Scientific Notation Scientific notation • is used to write very large or very small numbers. • for the width of a human hair of 0.000 008 m is written 8 x 10-6 m. • of a large number such as 4 500 000 s is written 6 Copyright © 2005 by Pearson Education, Inc. 4.5 x 10 s. Publishing as Benjamin Cummings 17 Some Powers of Ten 18 Comparing Numbers in Standard and Scientific Notation Here are some numbers written in standard format and in scientific notation. Number in Number in Standard Format Scientific Notation Diameter of the Earth 12 800 000 m 1.28 x 107 m Mass of a human 68 kg 6.8 x 101 kg Length of a pox virus 0.000 03 cm 3 x 10-5 cm 19 Learning Check Select the correct scientific notation for each. A. 0.000 008 1) 8 x 106 2) 8 x 10-6 3) 0.8 x 10-5 B. 72 000 1) 7.2 x 104 2) 72 x 103 3) 7.2 x 10-4 20 Solution Select the correct scientific notation for each. A. 0.000 008 2) 8 x 10-6 B. 72 000 1) 7.2 x 104 21 Learning Check Write each as a standard number. A. 2.0 x 10-2 1) 200 2) 0.0020 3) 0.020 B. 1.8 x 105 1) 180 000 2) 0.000 018 3) 18 000 22 Solution Write each as a standard number. A. 2.0 x 10-2 3) 0.020 B. 1.8 x 105 1) 180 000 23 Metric and SI Prefixes 24 Learning Check Indicate the unit that matches the description. 1. A mass that is 1000 times greater than 1 gram. 1) kilogram 2) milligram 3) megagram 2. A length that is 1/100 of 1 meter. 1) decimeter 2) centimeter 3) millimeter 3. A unit of time that is 1/1000 of a second. 1) nanosecond 2) microsecond 3) millisecond 25 Solution Indicate the unit that matches the description. 1. A mass that is 1000 times greater than 1 gram. 1) kilogram 2. A length that is 1/100 of 1 meter. 2) centimeter 3. A unit of time that is 1/1000 of a second. 3) millisecond 26 Learning Check Select the SI unit you would use to measure A. your height. 1) millimeters 2) meters 3) kilometers B. your mass. 1) milligrams 2) grams 3) kilograms C. the distance between two cities. 1) millimeters 2) meters 3) kilometers D. the width of an artery. 1) millimeters 2) meters 3) kilometers 27 Solution A. your height. 2) meters B. your mass. 3) kilograms C. the distance between two cities. 3) kilometers D. the width of an artery. 1) millimeters 28 Learning Check A megamile is how many times farther than 103 kilomiles? 1) 10 2) 1000 3) they are the same 4) 100 5) 0.1 29 Solution A megamile is how many times farther than 103 kilomiles? 3) they are the same 1000 = 103 and kilomiles=1000, so 1000*1000=106 = megamile 30 Metric Equalities An equality states the same measurement in two different units. can be written using the relationships between two metric units. Example: 1 meter is the same as 100 cm and 1000 mm. 1 m = 100 cm 1 m = 1000 mm 31 Measuring Length Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 32 Measuring Mass Several equalities can be written for mass in the metric (SI) system 1 kg = 1000 g 1 g = 1000 mg 1 mg = 0.001 g 1 mg = 1000 µg Copyright © 2005 by Pearson Education, Inc. Publishing as Benjamin Cummings 34 Learning Check Indicate the unit that completes each of the following equalities. A. 1000 m = 1) 1 mm 2) 1 km 2) 1 dm B. 0.001 g = 1) 1 mg 2) 1 kg 2) 1 dg C. 0.1 s = 1) 1 ms 2) 1 cs 2) 1 ds D. 0.01 m = 1) 1 mm 2) 1 cm 2) 1 dm 35 Learning Check Complete each of the following equalities. A. 1 kg = 1) 10 g 2) 100 g 3) 1000 g B. 1 mm = 1) 0.001 m 2) 0.01 m 3) 0.1 m 37 Solution Complete each of the following equalities. A. 1 kg = 1000 g (3) B. 1 mm = 0.001 m (1) 38.
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