Chapter 1 Introduction: Matter and Measurement ▶ THE BEAUTIFUL COLORS that develop in trees in the fall appear when the tree ceases to produce chlorophyll, which imparts the green color to the leaves during the summer. Some of the color we see has been in the leaf all summer, and some develops from the action of sunlight on the leaf as the chlorophyll disappears. 1 Introduction: Matter and Measurement What’s Ahead 1.1 THE STUDY OF CHEMISTRY We begin with a brief description of what chemistry is, what chemists do, and why it is useful to learn chemistry. 1.2 CLASSIFICATIONS OF MATTER Next, we examine some fundamental ways to classify matter, distinguishing between pure substances and mixtures and between elements and compounds. 1.3 PROPERTIES OF MATTER We then consider different characteristics, or properties, used to characterize, identify, and separate substances. 1.4 UNITS OF MEASUREMENT We observe that many properties rely on quantitative measurements involving numbers and units. The units of measurement used throughout science are those of the metric system. 2 Introduction: Matter and Measurement What’s Ahead 1.5 UNCERTAINTY IN MEASUREMENT We observe that the uncertainty inherent in all measured quantities is expressed by the number of significant figures used to report the quantity. Significant figures are also used to express the uncertainty associated with calculations involving measured quantities. 1.6 DIMENSIONAL ANALYSIS We recognize that units as well as numbers are carried through calculations and that obtaining correct units for the result of a calculation is an important way to check whether the calculation is correct. 3 Introduction: Matter and Measurement Chemistry • Chemistry is the study of matters and the changes that matter undergoes. • One of the joys of learning chemistry is seeing how do chemical principles operate in all aspects of our lives. 4 Chemistry 1.1 THE STUDY OF CHEMISTRY • Chemistry is the study of the properties and behavior of matter. • It is central to our fundamental understanding of many sciencerelated fields. 5 1.1 THE STUDY OF CHEMISTRY Chemistry and the Chemical Industry • Worldwide sales of chemical products: $585 billion/yr (U.S.) • Chemical industry employs >10% of all scientists/engineers. Figure 1.3 Common chemicals employed in home food production. 6 Matter 1.2 CLASSIFICATIONS OF MATTER Matter is anything that has mass and takes up space. 7 Matter 1.2 CLASSIFICATIONS OF MATTER • Atoms are the building blocks of matter. • Each element is made of a unique kind of atom. Note: Balls of different colors are used to represent atoms of different elements. Attached balls represent connections between atoms that are seen in nature. These groups of atoms are called molecules. • A compound is made of two or more different kinds of elements. 8 1.2 CLASSIFICATIONS OF MATTER Methods of Classification • Two principal ways of classifying matter are according to physical state (gas, liquid, or solid) and according to composition (element, compound, or mixture). 9 1.2 CLASSIFICATIONS OF MATTER States of Matter The three states of matter are 1) 2) 3) solid. liquid. gas. In this figure, those states are ice, liquid water, and water vapor. 10 1.2 CLASSIFICATIONS OF MATTER Classification of Matter Based on Composition If you follow this scheme, you can determine how to classify any type of matter. Homogeneous mixture Heterogeneous mixture Element Compound 11 1.2 CLASSIFICATIONS OF MATTER Classification of Matter—Substances • A substance has distinct properties and a composition that does not vary from sample to sample. • The two types of substances are elements and compounds. An element is a substance which can not be decomposed to simpler substances. A compound is a substance which can be decomposed to simpler substances. 12 1.2 CLASSIFICATIONS OF MATTER Compounds and Composition • Compounds have a definite composition. That means that the relative number of atoms of each element that makes up the compound is the same in any sample. • This is The Law of Constant Composition (or The Law of Definite Proportions). 13 1.2 CLASSIFICATIONS OF MATTER Classification of Matter—Mixtures • Mixtures exhibit the properties of the substances that make them up. • Mixtures can vary in composition throughout a sample (heterogeneous) or can have the same composition throughout the sample (homogeneous). • Another name for a homogeneous mixture is solution. Figure 1.8 Mixtures. (a) Many common materials, including rocks, are heterogeneous mixtures. This photograph of granite shows a heterogeneous mixture of silicon dioxide and other metal oxides. (b) Homogeneous mixtures are called solutions. Many substances, including the blue solid shown here [copper(II) sulfate], dissolve in water to form solutions. 14 15 1.3 PROPERTIES OF MATTER Types of Properties • Physical Properties can be observed without changing a substance into another substance. – Some examples include boiling point, density, mass, or volume. • Chemical Properties can only be observed when a substance is changed into another substance. – Some examples include flammability, corrosiveness, or reactivity with acid. 16 1.3 PROPERTIES OF MATTER Types of Properties • Intensive Properties are independent of the amount of the substance that is present. – Examples include density, boiling point, or color. • Extensive Properties depend upon the amount of the substance present. – Examples include mass, volume, or energy. 17 1.3 PROPERTIES OF MATTER Types of Changes • Physical Changes are changes in matter that do not change the composition of a substance. – Examples include changes of state, temperature, and volume. • Chemical Changes result in new substances. – Examples include combustion, oxidation, and decomposition. 18 1.3 PROPERTIES OF MATTER Changes in State of Matter Converting between the three states of matter is a physical change. When ice melts or water evaporates, there are still 2 H atoms and 1 O atom in each molecule. 19 1.3 PROPERTIES OF MATTER Chemical Reactions (Chemical Change) In the course of a chemical reaction, the reacting substances are converted to new substances. Here, the elements hydrogen and oxygen become water. 20 1.3 PROPERTIES OF MATTER Separating Mixtures • Mixtures can be separated based on physical properties of the components of the mixture. • Some methods used are filtration. distillation. chromatography. 21 Filtration 1.3 PROPERTIES OF MATTER • In filtration, solid substances are separated from liquids and solutions. 22 Distillation 1.3 PROPERTIES OF MATTER • Distillation uses differences in the boiling points of substances to separate a homogeneous mixture into its components. 23 1.3 PROPERTIES OF MATTER Chromatography • This technique separates substances on the basis of differences in the ability of substances to adhere to the solid surface, in this case, dyes to paper. 24 1.4 UNITS OF MEASUREMENT Numbers and Chemistry • Numbers play a major role in chemistry. Many topics are quantitative (have a numerical value). • Concepts of numbers in science Units of measurement Quantities that are measured and calculated Uncertainty in measurement Significant figures Dimensional analysis 25 1.4 UNITS OF MEASUREMENT THE SCIENTIFIC METHOD Figure 1.16 The scientific method. 26 1.4 UNITS OF MEASUREMENT Units of Measurements—SI Units • Système International d’Unités (“The International System of Units”) • A different base unit is used for each quantity. 27 1.4 UNITS OF MEASUREMENT Units of Measurement—Metric System The base units used in the metric system – – – – – – Mass: gram (g) Length: meter (m) Time: second (s or sec) Temperature: degrees Celsius (oC) or Kelvins (K) Amount of a substance: mole (mol) Volume: cubic centimeter (cc or cm3) or liter (l) 28 1.4 UNITS OF MEASUREMENT Units of Measurement—Metric System Prefixes Prefixes convert the base units into units that are appropriate for common usage or appropriate measure. 29 1.4 UNITS OF MEASUREMENT Mass and Length • These are basic units we measure in science. • Mass is a measure of the amount of material in an object. SI uses the kilogram as the base unit. The metric system uses the gram as the base unit. • Length is a measure of distance. The meter is the base unit. 30 31 Temperature 1.4 UNITS OF MEASUREMENT In general usage, temperature is considered the “hotness and coldness” of an object that determines the direction of heat flow. Heat flows spontaneously from an object with a higher temperature to an object with a lower temperature. 32 Temperature 1.4 UNITS OF MEASUREMENT • In scientific measurements, the Celsius and Kelvin scales are most often used. • The Celsius scale is based on the properties of water. – 0 °C is the freezing point of water. – 100 °C is the boiling point of water. • The kelvin is the SI unit of temperature. – It is based on the properties of gases. – There are no negative Kelvin temperatures. – The lowest possible temperature is called absolute zero (0 K). • K = °C + 273.15 33 Temperature 1.4 UNITS OF MEASUREMENT • The Fahrenheit scale is not used in scientific measurements, but you hear about it in weather reports! • The equations below allow for conversion between the Fahrenheit and Celsius scales: – °F = 9/5(°C) + 32 – °C = 5/9(°F − 32) 34 35 Volume 1.4 UNITS OF MEASUREMENT • Note that volume is not a base unit for SI; it is derived from length (m × m × m = m3). • The most commonly used metric units for volume are the liter (L) and the milliliter (mL). A liter is a cube 1 decimeter (dm) long on each side. A milliliter is a cube 1 centimeter (cm) long on each side, also called 1 cubic centimeter (cm × cm × cm = cm3). 36 Density 1.4 UNITS OF MEASUREMENT • Density is a physical property of a substance. • It has units that are derived from the units for mass and volume. • The most common units are g/mL or g/cm3. • Density (d) = mass (m) / volume (V) 37 38 1.5 UNCERTAINTY IN MEASUREMENT Numbers Encountered in Science • Exact numbers are counted or given by definition. For example, there are 12 eggs in 1 dozen. • Inexact (or measured) numbers depend on how they were determined. Scientific instruments have limitations. Some balances measure to ±0.01 g; others measure to ±0.0001g. 39 1.5 UNCERTAINTY IN MEASUREMENT Uncertainty in Measurements • Different measuring devices have different uses and different degrees of accuracy. • All measured numbers have some degree of inaccuracy. 40 1.5 UNCERTAINTY IN MEASUREMENT Accuracy versus Precision • Accuracy refers to the proximity of a measurement to the true value of a quantity. • Precision refers to the proximity of several measurements to each other. 41 1.5 UNCERTAINTY IN MEASUREMENT Significant Figures • The term significant figures refers to digits that were measured. • When rounding calculated numbers, we pay attention to significant figures so we do not overstate the accuracy of our answers. Figure 1.23 Uncertainty and significant figures in a measurement. 42 43 1.5 UNCERTAINTY IN MEASUREMENT Significant Figures 1. All nonzero digits are significant. 2. Zeroes between two significant figures are themselves significant. 1005 kg; 7.03 cm 1005 kg; 7.03 cm 3. Zeroes at the beginning of a number are never significant. 0.02 g; 0.0026 cm 4. Zeroes at the end of a number are significant if a decimal point is written in the number. 0.0200 g; 3.0 cm 44 45 46 1.5 UNCERTAINTY IN MEASUREMENT Significant Figures • When addition or subtraction is performed, answers are rounded to the least significant decimal place. • When multiplication or division is performed, answers are rounded to the number of digits that corresponds to the least number of significant figures in any of the numbers used in the calculation. 47 1.5 UNCERTAINTY IN MEASUREMENT Significant Figures • Rounding off numbers: Look at the leftmost digit to be removed. – If the leftmost digit removed is less than 5, the preceding number is left unchanged. • Rounding 7.248 to two significant figures gives 7.2. – If the leftmost digit removed is 5 or greater, the preceding number is increased by 1. • Rounding 4.735 to three significant figures gives 4.74, and rounding 2.376 to two significant figures gives 2.4. • Calculation involving two or more steps. – If you write answers for intermediate steps, retain at least one nonsignificant digit for the intermediate answers. • This procedure ensures that small errors from rounding at each step do not combine to affect the final result. – If you use a calculator, enter the numbers one after another and round only the final answer. 48 49 50 1.6 DIMENSIONAL ANALYSIS Dimensional Analysis • We use dimensional analysis to convert one quantity to another. • Most commonly, dimensional analysis utilizes conversion factors (e.g., 1 in. = 2.54 cm). 1 in. 2.54 cm or 2.54 cm 1 in. 51 1.6 DIMENSIONAL ANALYSIS Dimensional Analysis • Use the form of the conversion factor that puts the sought-for unit in the numerator: Given unit × desired unit given unit = desired unit Conversion factor • For example, to convert 8.00 m to inches, convert m to cm and convert cm to in. 100 cm 1 in. 8.00 m × = 315 in. × 1m 2.54 cm 52 53 54 55 56 Chapter 1. Homework Exercises 1.6 1.13 1.19 1.29 1.42 1.48 1.84 57