GENERAL CHEMISTRY General, Organic, and Biochemistry 9th Edition Katherine J. Denniston Joseph J. Topping Danaè R. Quirk Dorr Robert L. Caret Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display 1.1 The Discovery Process Chemistry: • the study of matter • its chemical and physical properties • the chemical and physical changes it undergoes – As matter undergoes changes, it gains or loses energy • Matter - anything that has mass and occupies space • Energy - the ability to do work to accomplish some change 1 1.1 The Discovery Process Role of Chemistry public health pharmaceutical industry CHEMISTRY food science medical practitioners forensic sciences 1.1 The Discovery Process THE SCIENTIFIC METHOD • a systematic approach to the discovery of new information 2 Characteristics: Observation Formulation of a question Pattern recognition Developing theories Experimentation • Data: the individual result of a single measurement • Results: the outcome of an experiment Summarizing information 3 1.1 The Discovery Process Representation of the Scientific Method Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display 1.1 The Discovery Process Models in Chemistry • Aid in the understanding of a chemical unit or system – often based on everyday experience • Ball and stick model of methane – color coded balls (atoms) – sticks (attractive forces holding atoms together) 1.2 The Classification of Matter • Properties - characteristics of matter scientists can use to categorize different types of matter • Ways to Categorize matter: 1. By State 2. By Composition 1.2 The Classification of Matter Three States of Matter 1.Gas - particles widely separated, no definite shape or volume solid 2. Liquid - particles closer together, definite volume but no definite shape 3. Solid - particles are very close together, define shape and definite volume 4 1.2 The Classification of Matter Composition of Matter 5 • Pure substance - a substance that has only one component • Mixture - a combination of two or more pure substances in which each substance retains its own identity, not undergoing a chemical reaction 1.2 The Classification of Matter Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display Pure Substances • Element - a pure substance that cannot be changed into a simpler form of matter by any chemical reaction • Compound - a pure substance resulting from the combination of two or more elements in a definite, reproducible way, in a fixed ratio 5 1.2 The Classification of Matter Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display 5 Mixture • Mixture - a combination of two or more pure substances in which each substance retains its own identity • Homogeneous - uniform composition, particles well mixed, thoroughly intermingled • Heterogeneous – nonuniform composition, random placement 1.2 The Classification of Matter Classes of Matter Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display (a) Pure Substance (b) Homogenous Mixture (c) Heterogeneous Mixture 1.2 The Classification of Matter Physical Property vs. Physical Change 6 • Physical property - is observed without changing the composition or identity of a substance • Physical change - produces a recognizable difference in the appearance of a substance without causing any change in its composition or identity - conversion from one physical state to another - melting an ice cube Physical Properties and Physical Change Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display (a) Solid (b) Liquid (c) Gas Separation by Physical Properties Magnetic iron is separated from other nonmagnetic substances, such as sand. This property is used as a large-scale process in the recycling industry. 1.2 The Classification of Matter Chemical Property vs. Chemical Reaction 6 • Chemical property - results in a change in composition and can be observed only through a chemical reaction • Chemical reaction (chemical change) - a chemical substance is converted in to one or more different substances by rearranging, removing, replacing, or adding atoms hydrogen + oxygen water reactants products 1.2 The Classification of Matter Classification of Properties Classify the following as either a chemical or physical property: a. Color b. Flammability c. Hardness d. Odor e. Taste 1.2 The Classification of Matter Classification of Changes Classify the following as either a chemical or physical change: a. Boiling water becomes steam b. Butter turns rancid c. Burning of wood d. Mountain snow melting in spring e. Decay of leaves in winter 1.2 The Classification of Matter 7 Intensive and Extensive Properties • Intensive properties - a property of matter that is independent of the quantity of the substance - Color - Melting Point • Extensive properties - a property of matter that depends on the quantity of the substance - Mass - Volume 1.3 The Units of Measurement Units - the basic quantity of mass, volume or whatever quantity is being measured – A measurement is useless without its units 8 • English system - a collection of functionally unrelated units – Difficult to convert from one unit to another 1 foot = 12 inches = 0.33 yard = 1/5280 miles • Metric System - composed of a set of units that are related to each other decimally, systematic – Units relate by powers of tens 1.3 The Units of Measurement Metric System Units 8 • Mass - the quantity of matter in an object – not synonymous with weight • Weight = mass x acceleration due to gravity – standard unit is the gram (g) – The pound (lb) is the common English unit 1 lb = 454 g • Mass must be measured on a balance (not a scale) 1.3 The Units of Measurement Metric System Units - continued • Length - the distance between two points – standard unit is the meter (m) – The yard is the common English unit 1 yd = 0.914 m • Volume - the space occupied by an object – standard unit is the liter (L) – The quart is the common English unit 1 qt = 0.946 L • Time • The metric unit is the second (s) Metric System Prefixes • Basic units are the units of a quantity without any metric prefix Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display 1.3 The Units of Measurement Relationship among various volume units Volume = Length x width x height Volume = 1mx1mx1m= 1 m3 1 m3 = 1 L 1.4 The Numbers of Measurement • Information-bearing digits or figures in a number are significant figures 9 • The measuring device used determines the number of significant figures in a measurement • The degree of uncertainty associated with a measurement is indicated by the number of figures used to represent the information 1.4 The Numbers of Measurement Significant Figures Example Significant figures - all digits in a number representing data or results that are known with certainty plus one uncertain digit 1.4 The Numbers of Measurement Recognition of Significant Figures • All nonzero digits are significant • 7.314 has four significant digits • The number of significant digits is independent of the position of the decimal point • 73.14 also has four significant digits • Zeros located between nonzero digits are significant • 60.052 has five significant digits 1.4 The Numbers of Measurement Use of Zeros in Significant Figures • Zeros at the end of a number (trailing zeros) are: – Significant if the number contains a decimal point • 4.70 has three significant digits – Insignificant if the number does not contain a decimal point • 100 has one significant digit; 100. has three • Zeros to the left of the first nonzero integer are not significant • 0.0032 has two significant digits 1.4 The Numbers of Measurement How many significant figures are in the following? 1. 3.400 2. 3004 3. 300. 4. 0.003040 1.4 The Numbers of Measurement Scientific Notation • Used to express very large or very small numbers easily and with the correct number of significant figures • Represents a number as a power of ten • Example: 4,300 = 4.3 1,000 = 4.3 103 1.4 The Numbers of Measurement Scientific Notation Rules • To convert a number greater than 1 to scientific notation, the original decimal point is moved x places to the left, and the resulting number is multiplied by 10x • The exponent x is a positive number equal to the number of places the decimal point moved 6200 = 6.2 103 • What if you want to express the above number with three significant figures? = 6.20 103 1.4 The Numbers of Measurement Scientific Notation Rules continued • To convert a number less than 1 to scientific notation, the original decimal point is moved x places to the right, and the resulting number is multiplied by 10–x • The exponent x is a negative number equal to the number of places the decimal point moved 0.0062 = 6.2 10–3 1.4 The Numbers of Measurement Scientific Notation Example • When a number is exceedingly large or small, scientific notation must be used to input the number into a calculator: 0.000000000000000000000006692 g must be entered into calculator as: 6.692 x 10−24 1.4 The Numbers of Measurement Represent the following numbers in scientific notation: 1. 0.00018 2. 3004 3. 300. 4. 0.00304 1.4 The Numbers of Measurement Accuracy and Precision • Accuracy - the degree of agreement between the true value and the measured value – Error - the difference between the true value and our estimation • Random • Systematic • Precision - a measure of the agreement of replicate measurements – Deviation – amount of variation present in a set of replicate measurements 10 1.4 The Numbers of Measurement Exact (Counted) and Inexact Numbers • Inexact numbers have uncertainty (degree of doubt in final significant digit) • Exact numbers are a consequence of counting – A set of counted items (beakers on a shelf) has no uncertainty – Exact numbers by definition have an infinite number of significant figures 1.4 The Numbers of Measurement Rules for Rounding Numbers • When the number to be dropped is less than 5, the preceding number is not changed • When the number to be dropped is 5 or larger, the preceding number is increased by one unit • Round the following number to 3 significant figures: 3.34966 104 =3.35 104 1.4 The Numbers of Measurement Round off each number to three significant figures: 1. 61.40 2. 6.171 3. 0.066494 Significant Figures in Calculation of Results Rules for Addition and Subtraction 9 • The result in a calculation cannot have greater significance than any of the quantities that produced the result • Consider: 37.68 6.71862 108.428 152.82662 liters liters liters liters correct answer 152.83 liters 1.4 The Numbers of Measurement Report the result of each to the proper number of significant figures: 1. 4.26 + 3.831 2. 8.321 − 2.4 Adding and Subtracting in Scientific Notation • There are two ways to solve the following: 9.47 x 10−6 + 9.3 x 10−5 SOLUTION 1: convert both numbers to standard form and add 0.000009 47 + 0.000093 0.000102 47 correct answer 1.02 x 10−4 Addition Example • There are two ways to solve the following: 9.47 x 10−6 + 9.3 x 10−5 SOLUTION 2: change one of the exponents so that both have the same power of 10, then add 9.47 x 10−6 changes to 0.947 x 10−5 0.9 47 x 10−5 + 9.3 x 10−5 10.2 47 x 10−5 correct answer 1.02 x 10−4 Rules for Multiplication and Division • The answer can be no more precise than the least precise number from which the answer is derived • The least precise number is the one with the fewest significant figures (4.2 103 )(15.94) 2.96886918 (on calculator) 4 2.255 10 Which number has the fewest significant figures? 4.2 103 has only 2 The answer is therefore, 3.0 1.5 Unit Conversion 11 • Factor-Label Method (Dimensional Analysis) –Uses Conversion Factors to: - Convert from one unit to another within the same system - Convert units from one system to another 1.5 Unit Conversion English Unit Conversion - Example • To convert from one unit to another you must know the conversion factor, which is the relationship between the two units – The Relationship: 1 gal = 4 qt – The Conversion Factor: 1 gal or 4 qt 4 qt 1 gal 1.5 Unit Conversion Using Conversion Factors Convert 12 gallons to quarts – The Relationship (English system): 1 gal = 4 qt – The Conversion Factor: 1 gal or 4 qt 4 qt 1 gal Data Given: 12 gal Use Conversion Factor with gal in denominator 1.5 Unit Conversion Using Conversion Factors - Solution Convert 12 gallons to quarts Solution: • Write the Data Given • Multiply by the Conversion Factor with the unit of the Data Given (gal) in the denominator 12 gal x 4 qt 1 gal = 48 qt Desired Result 1.5 Unit Conversion Unit Conversion - Example Convert 360 feet to miles – The Relationship (English system): 5280 ft = 1 mi – The Conversion Factor: 5280 ft or 1 mi 1 mi 5280 ft Data Given: 360 ft Use Conversion Factor with ft in denominator 1.5 Unit Conversion Unit Conversion - Solution Convert 360 feet to miles Solution: • Write the Data Given • Multiply by the Conversion Factor with the unit of the Data Given (ft) in the denominator 360 ft x 1 mi 5280 ft = 0.068 miles Desired Result 1.5 Unit Conversion Multistep Conversion - Example Convert 0.0047 kilograms to milligrams – The Relationships (metric system): 1 kg = 103 g and 103 mg = 1 g – The Conversion Factors: 1 kg or 103 g and 1 g or 103 mg 103 g 1 kg 103 mg 1g Data Given: 0.0047 kg 1. Use Conversion Factor with kg in denominator to convert to Initial Data Result in g 2. Use Conversion Factor with g in denominator 1.5 Unit Conversion Multistep Conversion - Solution Convert 0.0047 kilograms to milligrams 0.0047 kg x 103 g = 4.7 g 1 kg Data Given x Conversion Factor = Initial Data Result 4.7 g x 1 mg = 4.7 x 103 mg 10−3 g Initial Data Result x Conversion Factor = Desired Result 1.5 Unit Conversion Multistep Conversions Alternate Solution Convert 0.0047 kilograms to milligrams Alternatively, Solve in a single step: 0.0047 kg x 103 g x 1 mg = 4.7 x 103 mg 1 kg 10−3 g Data Given x Conversion Factor x Conversion Factor = Desired Result 1.5 Unit Conversion Practice Unit Conversions 1. Convert 5.5 inches to millimeters 2. Convert 50.0 milliliters to pints 3. Convert 1.8 in2 to cm2 1.6 Additional Experimental Quantities • Temperature - the degree of “hotness” of an object 1.6 Additional Experimental Quantities Conversions Between Fahrenheit and Celsius ToC = ToF − 32 1.8 ToF = 1.8 x ToC + 32 1. Convert 75oC to oF 2. Convert -10oF to oC 1. Ans. 167 oF 2. Ans. -23oC 12 1.6 Additional Experimental Quantities Kelvin Temperature Scale • The Kelvin (K) scale is another temperature scale • It is of particular importance because it is directly related to molecular motion • As molecular speed increases, the Kelvin temperature proportionately increases TK = ToC + 273.15 1.6 Additional Experimental Quantities Energy • Energy - the ability to do work • kinetic energy - the energy of motion (energy of action) • potential energy - the energy of position (stored energy) • Energy is also categorized by form: • • • • • light heat electrical mechanical chemical 1.6 Additional Experimental Quantities Characteristics of Energy • Energy cannot be created or destroyed • Energy may be converted from one form to another • Energy conversion always occurs with less than 100% efficiency • All chemical reactions involve either a “gain” or “loss” of energy 1.6 Additional Experimental Quantities Units of Energy • Basic Units: • calorie or joule • 1 calorie (cal) = 4.18 joules (J) • kilocalorie (kcal) = food Calorie 1 kcal = 1 Calorie = 1000 calories • 1 calorie = amount of heat energy required to increase the temperature of 1 gram of water 1oC 1.6 Additional Experimental Quantities Concentration Concentration: – the number or mass of particles of a substance contained in a specified volume Often used to represent the mixtures of different substances – Concentration of oxygen in the air – Pollen counts – Proper dose of an antibiotic 1.6 Additional Experimental Quantities Density and Specific Gravity • Density 13 – the ratio of mass to volume – an extensive property – use to characterize a substance as each substance has a unique density – Units for density include: • g/mL • g/cm3 • g/cc d= mass m = volume V 1.6 Additional Experimental Quantities Density Examples cork water brass nut liquid mercury Densities of Some Common Materials Copyright © 2017 McGraw-Hill Education. Permission required for reproduction or display Calculating Density A 2.00 cm3 sample of aluminum is found to weigh 5.40 g. Calculate the density in g/cm3 and g/mL. Use the expression: • Density (d) = m/V Substitute information given into the expression d = 5.40 g = 2.70 g/cm3 2.00 cm3 • Since 1 cm3 = 1 mL, = 2.70 g/mL Use Density in Calculation Calculate the volume, in mL, of a liquid that has a density of 1.20 g/mL and a mass of 5.00 g. • Density can be written as a Conversion Factor 1.20 g 1 mL 1 mL 1.20 g or • Multiply the Data Given (g) by the Conversion Factor with the unit g in the denominator 5.00 g x 1 mL 1.20 g = 4.17 mL 1.6 Additional Experimental Quantities Density Calculations • Air has a density of 0.0013 g/mL. What is the mass of 6.0-L sample of air? • Calculate the mass in grams of 10.0 mL if mercury (Hg) if the density of Hg is 13.6 g/mL. • Calculate the volume in milliliters, of a liquid that has a density of 1.20 g/mL and a mass of 5.00 grams. 1.6 Additional Experimental Quantities Specific Gravity • Values of density are often related to a standard • Specific gravity - the ratio of the density of the object in question to the density of pure water at 4oC • Specific gravity is a unitless term because the 2 units cancel • Often the health industry uses specific gravity to test urine and blood samples density of object (g/mL) specific gravity = density of water (g/mL)