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              Chapter 1
              Chemistry:
              Methods and Measurement




Deniston
Topping
Caret
7th Edition
1.1 The Discovery Process
• Chemistry - The study of matter…
  – Matter - Anything that has mass and
    occupies space
    • A table
    • A piece paper
  – What about air?
    • Yes, it is matter
1.1 The Discovery Process
                            Chemistry:
                               • the study of matter
                               • its chemical and physical properties
                               • the chemical and physical changes it
                                 undergoes
                               • the energy changes that accompany
                                 those processes
                            • Energy - the ability to do work to
                              accomplish some change
1.1 The Discovery Process        THE SCIENTIFIC METHOD
                            • The scientific method - a systematic
                              approach to the discovery of new
                              information
                             Characteristics of the scientific process
                            1. Observation
                            2. Formulation of a question
                            3. Pattern recognition
                            4. Developing theories
                            5. Experimentation
                            6. Summarizing information
1.1 The Discovery Process
1.1 The Discovery Process
                                     Models in Chemistry
                            • To aid in understanding of
                              a chemical unit or system
                               – a model is often used
                               – good models are based on
                                 everyday experience
                            • Ball and stick methane
                              model
                              – color code balls
                              – sticks show attractive forces
                                 holding atoms together
1.2 Matter and Properties
• Properties - characteristics of matter
  – chemical vs. physical
• 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
Three States of Water




(a) Solid        (b) Liquid   (c) Gas
1.2 Matter and Properties   Comparison of the Three
                               Physical States
1.2 Matter and Properties   • 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
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 Matter and Properties
                            • Chemical property - result in a
                              change in composition and can be
                              observed only through a chemical
                              reaction
                            • Chemical reaction (chemical
                              change) - a process of rearranging,
                              removing, replacing, or adding atoms
                              to produce new substances
                                hydrogen + oxygen  water

                                       reactants      products
1.2 Matter and Properties   Classify the following as either a
                                                                 c
                                                                 h
                                                                 e
                                                                 m
                                                                 i
                                                                 c
                                                                 a
                                                                 l
                                                                 o
                                                                 r
                                                                 p
                                                                 h
1.2 Matter and Properties   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 pack melting in
                               spring

                            e. Decay of leaves in winter
1.2 Matter and Properties
                            • Intensive properties - a property of
                              matter that is independent of the
                              quantity of the substance
                              - Density
                              - Specific gravity

                            • Extensive properties - a property of
                              matter that depends on the quantity of
                              the substance
                              - Mass
                              - Volume
1.2 Matter and Properties          Classification of Matter




                            • 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 Matter and Properties        Classification of Matter




                            • Element - a pure substance that cannot be
                              changed into a simpler form of matter by any
                              chemical reaction
                            • Compound - a substance resulting from the
                              combination of two or more elements in a
                              definite, reproducible way, in a fixed ratio
1.2 Matter and Properties        Classification of Matter




                            • 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 Matter and Properties
                      Classes of Matter
1.3 Measurement in Chemistry
Data, Results, and Units
• Data - each piece is an individual result of a single
  measurement or observation
   – mass of a sample
   – temperature of a solution
• Results - the outcome of the experiment
• Data and results may be identical, however usually
  related data are combined to generate a result
• Units - the basic quantity of mass, volume or
  whatever quantity is being measured
   – A measurement is useless without its units
English and Metric Units
                     • English system - a collection of
1.3 Measurement in

                       functionally unrelated units
                       – Difficult to convert from one unit to
     Chemistry

                         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 meter = 10 decimeters = 100 centimeters = 1000
                         millimeters
Basic Units of the Metric System
1.3 Measurement in

                        Mass        gram        g
                        Length      meter       m
     Chemistry


                        Volume      liter       L


                     • Basic units are the units of a quantity
                     without any metric prefix
1.3 Measurement in
     Chemistry
UNIT CONVERSION
1.3 Measurement in

                     • You must be able to convert between
     Chemistry

                       units
                        - within the metric system
                        - between the English system and metric system

                     • The method used for conversion is called
                       the Factor-Label Method or Dimensional
                       Analysis


                 !!!!!!!!!!! VERY IMPORTANT !!!!!!!!!!!
• Let your units do the work for you by
1.3 Measurement in

                       simply memorizing connections
                       between units.
     Chemistry

                       – For example: How many donuts are in
                         one dozen?
                       – We say: “Twelve donuts are in a dozen.”
                       – Or: 12 donuts = 1 dozen donuts
                     • What does any number divided by
                       itself equal?
                                             12 donuts
                     • ONE!                            =1
                                              1 dozen
12 donuts
                                          =1
1.3 Measurement in

                                 1 dozen
     Chemistry

                     • This fraction is called a unit factor

                     • What does any number times one
                       equal?
                     • That number
                     • Multiplication by a unit factor does
                       not change the amount – only the unit
• We use these two mathematical facts to
1.3 Measurement in

                       use the factor label method
                       – a number divided by itself = 1
     Chemistry

                       – any number times one gives that number
                         back
                     • Example: How many donuts are in 3.5
                       dozen?
                     • You can probably do this in your head
                       but try it using the Factor-Label
                       Method.
1.3 Measurement in
                     Start with the given information...
                                 12 donuts
                     3.5 dozen ×              = 42 donuts
     Chemistry

                                  1 dozen

                     Then set up your unit factor...

                     See that the units cancel...
                     Then multiply and divide all numbers...
Common English System Units
1.3 Measurement in
     Chemistry




                     • Convert 12 gallons to units of quarts
Intersystem Conversion Units
1.3 Measurement in
     Chemistry




                     • Convert 4.00 ounces to kilograms
1.3 Measurement in
     Chemistry

                     1. Convert 5.5 inches to millimeters


                     2. Convert 50.0 milliliters to pints


                     3. Convert 1.8 in2 to cm2
1.4 Significant Figures and
        Scientific Notation
• Information-bearing digits or figures in a
  number are significant figures
• The measuring devise used determines the
  number of significant figures a
  measurement has
• The amount of uncertainty associated with a
  measurement is indicated by the number of
  digits or figures used to represent the
  information
and Scientific Notation
1.4 Significant Figures




                          Significant figures - all digits in a number
                          representing data or results that are known
                          with certainty plus one uncertain digit
and Scientific Notation     Recognition of Significant Figures
1.4 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
Use of Zeros in Significant
and Scientific Notation
1.4 Significant Figures
                                        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

                          • Trailing zeros are 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
and Scientific Notation
1.4 Significant Figures

                          How many significant figures are in
                            the following?

                          1. 3.400

                          2. 3004

                          3. 300.

                          4. 0.003040
and Scientific Notation            Scientific Notation
1.4 Significant Figures

                          • 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 x 1,000 = 4.3 x 103
and Scientific Notation   • To convert a number greater than 1 to
1.4 Significant Figures
                            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

                                       5340 = 5.34 x 104
                          • What if you want to show the above number
                            has four significant figures?

                                              = 5.340 x 104
and Scientific Notation
1.4 Significant Figures
                          • 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

                                       0.0534 = 5.34 x 10-2
and Scientific Notation              Types of Uncertainty
1.4 Significant Figures

                          • Error - the difference
                            between the true value
                            and our estimation
                             – Random
                             – Systematic
                          • Accuracy - the degree
                            of agreement between
                            the true value and the
                            measured value
                          • Precision - a measure
                            of the agreement of
                            replicate measurements
Significant Figures in Calculation of
and Scientific Notation                   Results
1.4 Significant Figures

                          Rules for Addition and Subtraction
                          • The result in a calculation cannot have greater
                            significance than any of the quantities that
                            produced the result
                          • Consider:
                               37.68      liters
                                6.71862   liters
                              108.428     liters
                              152.82662   liters

                                          correct answer 152.83 liters
Rules for Multiplication and Division
and Scientific Notation
1.4 Significant Figures

                          • 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)
                                             = 2.9688692 ×10 −8 (on calculator)
                             2.255 ×10 − 4
                           Which number has the fewest
                           significant figures? 4.2 x 103 has only 2
                           The answer is therefore, 3.0 x 10-8
and Scientific Notation   Exact and Inexact Numbers
1.4 Significant Figures

                          • Inexact numbers have uncertainty by
                            definition
                          • 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
Rules for Rounding Off Numbers
and Scientific Notation
1.4 Significant Figures

                          • 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 x 104
                                =3.35 x 104
and Scientific Notation
1.4 Significant Figures
                            How Many Significant Figures?

                          Round off each number to 3 significant
                             figures:

                          1. 61.40

                          2. 6.171

                          3. 0.066494
1.5 Experimental Quantities

• Mass - the quantity of matter in an object
  – not synonymous with weight
  – standard unit is the gram
• Weight = mass x acceleration due to
  gravity

• Mass must be measured on a balance (not a
  scale)
1.5 Experimental Quantities
                              • Units should be chosen to suit the
                                quantity described
                                –   A dump truck is measured in tons
                                –   A person is measured in kg or pounds
                                –   A paperclip is measured in g or ounces
                                –   An atom?
                              • For atoms, we use the atomic mass unit
                                (amu)
                                – 1 amu = 1.661 x 10-24 g
1.5 Experimental Quantities
                              • Length - the distance between two points
                                – standard unit is the meter
                                – long distances are measured in km
                                – distances between atoms are measured in nm,
                                   1 nm = 10-9 m
                              • Volume - the space occupied by an object
                                – standard unit is the liter
                                – the liter is the volume occupied by 1000
                                  grams of water at 4 oC
                                – 1 mL = 1/1000 L = 1 cm3
1.5 Experimental Quantities


                              The milliliter
                              (mL) and the
                              cubic centimeter
                              (cm3) are
                              equivalent
1.5 Experimental Quantities   • Time
                                - metric unit is the second

                              • Temperature - the degree of “hotness”
                                of an object
1.5 Experimental Quantities   Conversions Between Fahrenheit
                                       and Celsius
                                                       o
                                                       F - 32
                                                o
                                                    C=
                                                       1.8

                                        o
                                            F = 1.8 ×( C) + 32
                                                           o



                               1. Convert 75oC to oF
                               2. Convert -10oF to oC
                               1. Ans. 167 oF
1.5 Experimental Quantities
                                   Kelvin Temperature Scale
                              • The Kelvin 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.
                                          K = oC + 273
1.5 Experimental Quantities

                   •
                       Energy
1.5 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
1.5 Experimental Quantities              Units of Energy
                              • Basic Units:
                                • calorie or joule
                                • 1 calorie (cal) = 4.184 joules (J)

                              • A kilocalorie (kcal) also known as the
                                large Calorie. This is the same Calorie as
                                food Calories.
                                • 1 kcal = 1 Calorie = 1000 calories

                              • 1 calorie = the amount of heat energy
                                required to increase the temperature of 1
                                gram of water 1oC.
1.5 Experimental Quantities
                              Density and Specific Gravity
                              • Density
                                – 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                    mass   m
                                                          d=       =
                                   • g/cc                    volume V
1.5 Experimental Quantities


                                          cork

                              water
                                      brass nut


                                liquid mercury
1.5 Experimental Quantities    Calculating the Density of a
                                          Solid
                              • 2.00 cm3 of aluminum are found to weigh
                                5.40g. Calculate the density of aluminum
                                in units of g/cm3.
                                                              mass   m
                                – Use the formula         d=       =
                                                             volume V
                                – Substitute our values
                                          5.40 g
                                         2.00 cm3
                                    = 2.70 g / cm3
1.5 Experimental Quantities

                              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.
1.5 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)

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Mec chapter 1

  • 1. Copyright© The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Chapter 1 Chemistry: Methods and Measurement Deniston Topping Caret 7th Edition
  • 2. 1.1 The Discovery Process • Chemistry - The study of matter… – Matter - Anything that has mass and occupies space • A table • A piece paper – What about air? • Yes, it is matter
  • 3. 1.1 The Discovery Process Chemistry: • the study of matter • its chemical and physical properties • the chemical and physical changes it undergoes • the energy changes that accompany those processes • Energy - the ability to do work to accomplish some change
  • 4. 1.1 The Discovery Process THE SCIENTIFIC METHOD • The scientific method - a systematic approach to the discovery of new information Characteristics of the scientific process 1. Observation 2. Formulation of a question 3. Pattern recognition 4. Developing theories 5. Experimentation 6. Summarizing information
  • 6. 1.1 The Discovery Process Models in Chemistry • To aid in understanding of a chemical unit or system – a model is often used – good models are based on everyday experience • Ball and stick methane model – color code balls – sticks show attractive forces holding atoms together
  • 7. 1.2 Matter and Properties • Properties - characteristics of matter – chemical vs. physical • 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
  • 8. Three States of Water (a) Solid (b) Liquid (c) Gas
  • 9. 1.2 Matter and Properties Comparison of the Three Physical States
  • 10. 1.2 Matter and Properties • 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
  • 11. 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.
  • 12. 1.2 Matter and Properties • Chemical property - result in a change in composition and can be observed only through a chemical reaction • Chemical reaction (chemical change) - a process of rearranging, removing, replacing, or adding atoms to produce new substances hydrogen + oxygen  water reactants products
  • 13. 1.2 Matter and Properties Classify the following as either a c h e m i c a l o r p h
  • 14. 1.2 Matter and Properties 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 pack melting in spring e. Decay of leaves in winter
  • 15. 1.2 Matter and Properties • Intensive properties - a property of matter that is independent of the quantity of the substance - Density - Specific gravity • Extensive properties - a property of matter that depends on the quantity of the substance - Mass - Volume
  • 16. 1.2 Matter and Properties Classification of Matter • 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
  • 17. 1.2 Matter and Properties Classification of Matter • Element - a pure substance that cannot be changed into a simpler form of matter by any chemical reaction • Compound - a substance resulting from the combination of two or more elements in a definite, reproducible way, in a fixed ratio
  • 18. 1.2 Matter and Properties Classification of Matter • 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
  • 19. 1.2 Matter and Properties Classes of Matter
  • 20. 1.3 Measurement in Chemistry Data, Results, and Units • Data - each piece is an individual result of a single measurement or observation – mass of a sample – temperature of a solution • Results - the outcome of the experiment • Data and results may be identical, however usually related data are combined to generate a result • Units - the basic quantity of mass, volume or whatever quantity is being measured – A measurement is useless without its units
  • 21. English and Metric Units • English system - a collection of 1.3 Measurement in functionally unrelated units – Difficult to convert from one unit to Chemistry 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 meter = 10 decimeters = 100 centimeters = 1000 millimeters
  • 22. Basic Units of the Metric System 1.3 Measurement in Mass gram g Length meter m Chemistry Volume liter L • Basic units are the units of a quantity without any metric prefix
  • 23. 1.3 Measurement in Chemistry
  • 24. UNIT CONVERSION 1.3 Measurement in • You must be able to convert between Chemistry units - within the metric system - between the English system and metric system • The method used for conversion is called the Factor-Label Method or Dimensional Analysis !!!!!!!!!!! VERY IMPORTANT !!!!!!!!!!!
  • 25. • Let your units do the work for you by 1.3 Measurement in simply memorizing connections between units. Chemistry – For example: How many donuts are in one dozen? – We say: “Twelve donuts are in a dozen.” – Or: 12 donuts = 1 dozen donuts • What does any number divided by itself equal? 12 donuts • ONE! =1 1 dozen
  • 26. 12 donuts =1 1.3 Measurement in 1 dozen Chemistry • This fraction is called a unit factor • What does any number times one equal? • That number • Multiplication by a unit factor does not change the amount – only the unit
  • 27. • We use these two mathematical facts to 1.3 Measurement in use the factor label method – a number divided by itself = 1 Chemistry – any number times one gives that number back • Example: How many donuts are in 3.5 dozen? • You can probably do this in your head but try it using the Factor-Label Method.
  • 28. 1.3 Measurement in Start with the given information... 12 donuts 3.5 dozen × = 42 donuts Chemistry 1 dozen Then set up your unit factor... See that the units cancel... Then multiply and divide all numbers...
  • 29. Common English System Units 1.3 Measurement in Chemistry • Convert 12 gallons to units of quarts
  • 30. Intersystem Conversion Units 1.3 Measurement in Chemistry • Convert 4.00 ounces to kilograms
  • 31. 1.3 Measurement in Chemistry 1. Convert 5.5 inches to millimeters 2. Convert 50.0 milliliters to pints 3. Convert 1.8 in2 to cm2
  • 32. 1.4 Significant Figures and Scientific Notation • Information-bearing digits or figures in a number are significant figures • The measuring devise used determines the number of significant figures a measurement has • The amount of uncertainty associated with a measurement is indicated by the number of digits or figures used to represent the information
  • 33. and Scientific Notation 1.4 Significant Figures Significant figures - all digits in a number representing data or results that are known with certainty plus one uncertain digit
  • 34. and Scientific Notation Recognition of Significant Figures 1.4 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
  • 35. Use of Zeros in Significant and Scientific Notation 1.4 Significant Figures 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 • Trailing zeros are 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
  • 36. and Scientific Notation 1.4 Significant Figures How many significant figures are in the following? 1. 3.400 2. 3004 3. 300. 4. 0.003040
  • 37. and Scientific Notation Scientific Notation 1.4 Significant Figures • 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 x 1,000 = 4.3 x 103
  • 38. and Scientific Notation • To convert a number greater than 1 to 1.4 Significant Figures 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 5340 = 5.34 x 104 • What if you want to show the above number has four significant figures? = 5.340 x 104
  • 39. and Scientific Notation 1.4 Significant Figures • 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 0.0534 = 5.34 x 10-2
  • 40. and Scientific Notation Types of Uncertainty 1.4 Significant Figures • Error - the difference between the true value and our estimation – Random – Systematic • Accuracy - the degree of agreement between the true value and the measured value • Precision - a measure of the agreement of replicate measurements
  • 41. Significant Figures in Calculation of and Scientific Notation Results 1.4 Significant Figures Rules for Addition and Subtraction • The result in a calculation cannot have greater significance than any of the quantities that produced the result • Consider: 37.68 liters 6.71862 liters 108.428 liters 152.82662 liters correct answer 152.83 liters
  • 42. Rules for Multiplication and Division and Scientific Notation 1.4 Significant Figures • 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) = 2.9688692 ×10 −8 (on calculator) 2.255 ×10 − 4 Which number has the fewest significant figures? 4.2 x 103 has only 2 The answer is therefore, 3.0 x 10-8
  • 43. and Scientific Notation Exact and Inexact Numbers 1.4 Significant Figures • Inexact numbers have uncertainty by definition • 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
  • 44. Rules for Rounding Off Numbers and Scientific Notation 1.4 Significant Figures • 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 x 104 =3.35 x 104
  • 45. and Scientific Notation 1.4 Significant Figures How Many Significant Figures? Round off each number to 3 significant figures: 1. 61.40 2. 6.171 3. 0.066494
  • 46. 1.5 Experimental Quantities • Mass - the quantity of matter in an object – not synonymous with weight – standard unit is the gram • Weight = mass x acceleration due to gravity • Mass must be measured on a balance (not a scale)
  • 47. 1.5 Experimental Quantities • Units should be chosen to suit the quantity described – A dump truck is measured in tons – A person is measured in kg or pounds – A paperclip is measured in g or ounces – An atom? • For atoms, we use the atomic mass unit (amu) – 1 amu = 1.661 x 10-24 g
  • 48. 1.5 Experimental Quantities • Length - the distance between two points – standard unit is the meter – long distances are measured in km – distances between atoms are measured in nm, 1 nm = 10-9 m • Volume - the space occupied by an object – standard unit is the liter – the liter is the volume occupied by 1000 grams of water at 4 oC – 1 mL = 1/1000 L = 1 cm3
  • 49. 1.5 Experimental Quantities The milliliter (mL) and the cubic centimeter (cm3) are equivalent
  • 50. 1.5 Experimental Quantities • Time - metric unit is the second • Temperature - the degree of “hotness” of an object
  • 51. 1.5 Experimental Quantities Conversions Between Fahrenheit and Celsius o F - 32 o C= 1.8 o F = 1.8 ×( C) + 32 o 1. Convert 75oC to oF 2. Convert -10oF to oC 1. Ans. 167 oF
  • 52. 1.5 Experimental Quantities Kelvin Temperature Scale • The Kelvin 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. K = oC + 273
  • 54. 1.5 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
  • 55. 1.5 Experimental Quantities Units of Energy • Basic Units: • calorie or joule • 1 calorie (cal) = 4.184 joules (J) • A kilocalorie (kcal) also known as the large Calorie. This is the same Calorie as food Calories. • 1 kcal = 1 Calorie = 1000 calories • 1 calorie = the amount of heat energy required to increase the temperature of 1 gram of water 1oC.
  • 56. 1.5 Experimental Quantities Density and Specific Gravity • Density – 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 mass m d= = • g/cc volume V
  • 57. 1.5 Experimental Quantities cork water brass nut liquid mercury
  • 58.
  • 59. 1.5 Experimental Quantities Calculating the Density of a Solid • 2.00 cm3 of aluminum are found to weigh 5.40g. Calculate the density of aluminum in units of g/cm3. mass m – Use the formula d= = volume V – Substitute our values 5.40 g 2.00 cm3 = 2.70 g / cm3
  • 60. 1.5 Experimental Quantities 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.
  • 61. 1.5 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)