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MATTER AND
       MEASUREMENT

QBA Miguel A. Castro Ramírez
THE STUDY OF CHEMISTRY


 Matter: Anything that has mass and takes up space.
 Atoms: The building blocks of matter.
 Property: Any characteristics that allows us to
        recognize a particular type of matter and
to distinguish it from other types
 Elements: Substance that cannot be broken down
               into simpler substances by chemical
               rxns. E.g. O, N, C and P
               : Made of the same kind of atom.
                Compound: Made of two or more
               different kinds of             elements.
CLASSIFICATION OF MATTER
                  1) PHYSICAL STATE (States of Matter)


     GAS (Vapour)                           LIQUID                           SOLID
                                  Observable Properties
 No fixed volume                  Distinct volume                Definite volume
 Can be compressed to            independent of container         Definite shape
occupy smaller volume              Shape depends on the           Cannot be compressed
 Can be expand to occupy         container
larger volume                      Cannot be compressed
                                      Molecular Level
 Molecules are far apart            Molecules: Packed closely        Molecules: Tightly
 Speed : Very fast                 together but still move rapidly   together
 Compressing: Decreases             The rapid movement              Definite arrangement
space increases frequency          molecules to slide each            Can only wiggle each
of collisions but doesn’t alter     other easy to pour               other
the size/shape of the molecule
CLASSIFICATION OF MATTER
                       2) COMPOSITION
    Pure Substances: Matter that has distinct properties and a composition that
                     does not vary from samples to samples

Element                                                Mixture
-   Cannot be            Compound                -         Combination of two or
    decomposed into      - Subtances that                  more subtances in
    simpler substances      composed of 2 or               which each subtances
-   Composed only 1 kind                                   retains its own
                            more different atoms
    of atom                 chemically joined              chemical identity
                            together
CLASSIFICATION OF MATTER

        ELEMENTS                     COMPOUNDS                        MIXTURES
 The symbol of each             Elements can interact with    Each substance in a mixture
element consist of 2 letter,    other elements to form         retains its own chemical
with first letter capitalized   compounds.                     identity and its own property.
e.g; C,Al,Br,Cu,Hg               H2 + O2  H2O                 Composition of mixture can
 In periodic table of           H2O H2 + O2                 be vary.
elements                        The observation that the       Components : Subtances
                                elemental composition of a     making up mixture.
                                pure compound is always the     Homogeneous: Uniform
                                same: Law of Constant          throughout e.g; Air-
                                Composition=Law of definite    homogenuos mixture of
                                proportions                    gaseous subtances
                                Pure compound has the          Heterogeneous: Do not
                                same elements and              have same composition,
                                composition & properties       properties and appearance
                                regardless the source.         throughout. E.g; rocks and
                                                               wood.
CLASSIFICATION OF MATTER
PROPERTIES OF MATTER

                           Physical Properties
- Those which the substance shows by itself without interacting with
another substance
- Melting point, boiling point, density
                          Chemical Properties
-Those which the substance shows as it interacts with, or transforms into,
other substances
- Such as flammability, corrosiveness

                          Intensive Properties
- Do not depend on the amount of the sample being examined
- Temperature, melting point and density

                           Extensive Properties
-Depends on the quantity of the sample with two examples being mass
and volume
- Mass and volume
PROPERTIES OF MATTER

                        Physical Changes
- Substances changes its physical appearance but not its composition.
- Changes of state (evaporation of water) , temperature, volume, etc.
                       Chemical Changes
  - Substance is transformed into a chemically different substance
           - Combustion, oxidation, decomposition, etc.
PROPERTIES OF MATTER
                         Separation of Mixtures

                              DISTILLATION             CHROMATOGRAPHY
                          -Distillation uses           -This technique separates
    FILTRATION
-In filtration solid      differences in the boiling   substances on the basis of
                          points of substances to      differences in solubility in
substances are
                          separate a homogeneous       a solvent
separated from liquids
                          mixture into its             - Test food colorings
and solutions.
                          components
                          - Separation of salt and
                          water
SCIENTIFIC METHOD
     The scientific method is simply a systematic approach to solving
                                 problems.
• Scientific Law: Concise verbal statement or a mathematical equation
that summarizes a broad variety of observations and experiences.
1.    Hypothesis: tentative explanation/prediction concerning some
      phenomenon. i.e. an educated guess that can be tested
2.    Data: facts or measurements obtained through careful observation or
      made during an experiment
3.    Scientific laws: statements that identify patterns in a large collection of
      data
4.    Theory: Explains & predicts an observed phenomenon that can be further
      tested
UNITS OF MEASUREMENT

      (SI) Système International d’Unités (International
                       System of Units)
       A different base unit is used for each quantity.

                         SI Base Units
1.    Length – meter (m)*
2.    Mass – kilogram (kg)*
3.    Time – second (s)
4.    Amount of substance – mole (mol)
5.    Temperature – Kelvin (K)*
6.    Electric current – Ampere (A)
7.    Luminous intensity – candela (cd)
•     All measured quantities can be expressed in terms of these 7
      base units
UNITS OF MEASUREMENT (Metric System)
• Prefix used in metric system
• To indicate decimal fractions or multiples of various units

Multiple   Decimal equivalent     Prefix           Symbol       English
109        1,000,000,000          giga-            G            billion
106        1,000,000              mega-            M            million
103        1,000                  kilo-            k            thousand
102        100                    hecto-           h            hundred
101        10                     deca-            da           ten
100        1                      NA               NA           NA
10-1       0.1                    deci-            d            tenth
10-2       0.01                   centi-           c            hundredth
10-3       0.001                  milli-           m            thousandth

10-6       0.000001               micro-           µ (mu)       millionth
10-9       0.000000001            nano-            n            billionth
10-12      0.000000000001         pico-            p            trillionth
UNITS OF MEASUREMENT
Length and Mass
-     Unit SI for length = meter (m)
-     Mass: Measure of the amount of material in an object.
          - SI Unit= kilogram (kg) = 2.2 pounds (lb)
Temperature
-     Measure of hotness or coldness of an object.
-     Physical property: determine the direction of heat flow
-     SI Unit: Kelvin (K): based on the property of gases
          -Zero Kelvin= -273.15 °C – lowest attainable temperature
    (absolute zero)
-     The Celsius (°C) scale is based on the properties of water.
      0°C = 273.15 K is the freezing point of water
      100°C = 373.15 K is the boiling point of water
                         K= °C + 273.15
-     Fahrenheit (°F) : Common in US (not generally used in scientific
      studies)
                    °C = 5/9 (°F-32) or °F = 9/5 (°C) +32
UNITS OF MEASUREMENT

1) The temperature of the room is 75°F. What is its temperature in
                         Celsius degrees?




2) A child has a body temperature of 38.7°C.
a)If normal body temperature is 98.6°F, does the child have a
fever?
b)What is the child’s temperature in Kelvin?
UNITS OF MEASUREMENT

DERIVED SI UNITS
              VOLUME
 Given by its length cubed, (length)3
 cm3 : Frequently used in chemistry
 Another commonly used metric units
for volume are the liter (L)
A liter (L) = dm3 = 1000mL
A milliliter (mm) = 1cm3
 Syringe, burets and pipets deliver
liquids with more precision than
graduated cylinders.
UNITS OF MEASUREMENT

DERIVED SI UNITS

                                DENSITY
  Property of matter that is widely used to characterize a substance.
  Density: mass/volume
  Expressed in unit g/cm3 or g/mL.
  Densities are temperature dependent – because most substances
 change volume when they are heated or cooled.
  When reporting densities, temperature must be stated
UNITS OF MEASUREMENT

Calculating Density from Mass and Length


1) If a rectangular slab of Lithium (Li) has a mass of 1.49 x 10 3
mg and has sides that measure 20.9 mm by 11.1 mm by 11.9
mm, what is the density of Li in g/cm3 ?
UNCERTAINTY IN MEASUREMENT

Exact numbers: - Values are known exactly
              - 12 eggs in a dozen, 1000g in 1kg
Inexact numbers: - Values have some uncertainty
                 - Obtained by measurement
                 - equipment and human errors
   Uncertainties always exist in measured quantities

          PRECISION AND ACCURACY

Accuracy : How closely individual measurements
agree with the correct or true value.
Precision : Measure of how closely individual
measurement agree with one another.
UNCERTAINTY IN MEASUREMENT

 Significant Figures

             Rules for counting sig figs
1. Nonzero integers always count as sig figs
2. There are 3 classes of zeroes:
   a. Leading zeroes are zeroes that precede all the
      nonzero digits. These DO NOT count as sig fig. e.g.
      0.0025
   b. Captive zeroes are zeroes b/w nonzero digits.
      These ALWAYS count. E.g. 1.006
   c. Trailing zeroes are zeroes at the right end of the
      number. They are significant ONLY IF the number
      contains a decimal point. E.g. 1.00
UNCERTAINTY IN MEASUREMENT

        Rules of Significant Figures in Calculation

• When addition or subtraction is performed, answers are
  rounded to the least significant decimal place.
    12.11 +18.0 +1.013 = 31.123  to →31.1
                                  
                                 corrected


• 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.
        4.56 x 1.4 =6.38   → .4
                            6
                          corrected to



• BODMAS still applies – Bracket, Of, Division, Multiplication,
  Addition, Subtraction
UNCERTAINTY IN MEASUREMENT

Determining the Number of Significant Figures

 How many sig. fig in the given numbers below:
 (a) 0.1044 g
 (b) 0.0000007160 cm3


 Determine the number of sig fig in the problem below:

  (a) 9.2 cm x 6.8 cm x 0.3744 cm
  (b) 865.9 – 2.8121
UNCERTAINTY IN MEASUREMENT

  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.
UNCERTAINTY IN MEASUREMENT


     Use the form of the conversion factor that puts
     the sought-for unit in the numerator.
                             desired unit
        Given unit ×                              = desired unit
                                given unit


• For example, to convert 8.00 m to inches,
   – convert m to cm
   – convert cm to in.


                       100 cm            1 in.
       8.00 m    ×                  ×                 =   315 in.
                        1m              2.54 cm
UNCERTAINTY IN MEASUREMENT

Converting Units of Length

a) To wire your stereo equipment, you need 325 centimeters (cm) of
   speaker wire that sells for RM 0.15/ft. What is the price of the wire?
- 1 in = 2.54 cm       1ft = 12 in


             SOLUTION:
                   Length (in) = length (cm) x conversion factor
                              = 325 cm x in        = 128 in
                                          2.54 cm
                   Length (ft) = length (in) x conversion factor
                             = 128 in x      ft   = 10.7 ft
                                          12 in
                   Price ($) = length (ft) x conversion factor
                              = 10.7 ft x RM 0.15 = $1.60
                                            ft
UNCERTAINTY IN MEASUREMENT
 Converting Units of Volume

When a small piece of galena, an ore of lead, is submerged in the
water of a graduated cylinder that originally reads 19.9 mL, the
volume increases to 24.5 mL. What is the volume of the piece of
galena in cm3 and in L?

                   volume (mL) before and after addition
                                    subtract
                           volume (mL) of galena
                 1 mL = 1 cm3               1 mL = 10-3 L
                   volume (cm3) of       volume (L) of
                       galena               galena

    SOLUTION:        (24.5 - 19.9) mL = volume of galena = 4.6 mL

         4.6 mL x 1 cm                      4.6 mL x 10 L
                      3                                  -3
                          = 4.6 cm   3                        = 4.6x10-3 L
                    mL                                mL
Thank You

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MATTER AND MEASUREMENT

  • 1. MATTER AND MEASUREMENT QBA Miguel A. Castro Ramírez
  • 2. THE STUDY OF CHEMISTRY  Matter: Anything that has mass and takes up space.  Atoms: The building blocks of matter.  Property: Any characteristics that allows us to recognize a particular type of matter and to distinguish it from other types  Elements: Substance that cannot be broken down into simpler substances by chemical rxns. E.g. O, N, C and P : Made of the same kind of atom.  Compound: Made of two or more different kinds of elements.
  • 3. CLASSIFICATION OF MATTER 1) PHYSICAL STATE (States of Matter) GAS (Vapour) LIQUID SOLID Observable Properties  No fixed volume  Distinct volume  Definite volume  Can be compressed to independent of container  Definite shape occupy smaller volume  Shape depends on the  Cannot be compressed  Can be expand to occupy container larger volume  Cannot be compressed Molecular Level  Molecules are far apart  Molecules: Packed closely  Molecules: Tightly  Speed : Very fast together but still move rapidly together  Compressing: Decreases  The rapid movement  Definite arrangement space increases frequency molecules to slide each  Can only wiggle each of collisions but doesn’t alter other easy to pour other the size/shape of the molecule
  • 4. CLASSIFICATION OF MATTER 2) COMPOSITION Pure Substances: Matter that has distinct properties and a composition that does not vary from samples to samples Element Mixture - Cannot be Compound - Combination of two or decomposed into - Subtances that more subtances in simpler substances composed of 2 or which each subtances - Composed only 1 kind retains its own more different atoms of atom chemically joined chemical identity together
  • 5. CLASSIFICATION OF MATTER ELEMENTS COMPOUNDS MIXTURES  The symbol of each  Elements can interact with  Each substance in a mixture element consist of 2 letter, other elements to form retains its own chemical with first letter capitalized compounds. identity and its own property. e.g; C,Al,Br,Cu,Hg  H2 + O2  H2O  Composition of mixture can  In periodic table of  H2O H2 + O2 be vary. elements The observation that the  Components : Subtances elemental composition of a making up mixture. pure compound is always the  Homogeneous: Uniform same: Law of Constant throughout e.g; Air- Composition=Law of definite homogenuos mixture of proportions gaseous subtances Pure compound has the  Heterogeneous: Do not same elements and have same composition, composition & properties properties and appearance regardless the source. throughout. E.g; rocks and wood.
  • 7. PROPERTIES OF MATTER Physical Properties - Those which the substance shows by itself without interacting with another substance - Melting point, boiling point, density Chemical Properties -Those which the substance shows as it interacts with, or transforms into, other substances - Such as flammability, corrosiveness Intensive Properties - Do not depend on the amount of the sample being examined - Temperature, melting point and density Extensive Properties -Depends on the quantity of the sample with two examples being mass and volume - Mass and volume
  • 8. PROPERTIES OF MATTER Physical Changes - Substances changes its physical appearance but not its composition. - Changes of state (evaporation of water) , temperature, volume, etc. Chemical Changes - Substance is transformed into a chemically different substance - Combustion, oxidation, decomposition, etc.
  • 9. PROPERTIES OF MATTER Separation of Mixtures DISTILLATION CHROMATOGRAPHY -Distillation uses -This technique separates FILTRATION -In filtration solid differences in the boiling substances on the basis of points of substances to differences in solubility in substances are separate a homogeneous a solvent separated from liquids mixture into its - Test food colorings and solutions. components - Separation of salt and water
  • 10. SCIENTIFIC METHOD The scientific method is simply a systematic approach to solving problems. • Scientific Law: Concise verbal statement or a mathematical equation that summarizes a broad variety of observations and experiences. 1. Hypothesis: tentative explanation/prediction concerning some phenomenon. i.e. an educated guess that can be tested 2. Data: facts or measurements obtained through careful observation or made during an experiment 3. Scientific laws: statements that identify patterns in a large collection of data 4. Theory: Explains & predicts an observed phenomenon that can be further tested
  • 11. UNITS OF MEASUREMENT  (SI) Système International d’Unités (International System of Units)  A different base unit is used for each quantity. SI Base Units 1. Length – meter (m)* 2. Mass – kilogram (kg)* 3. Time – second (s) 4. Amount of substance – mole (mol) 5. Temperature – Kelvin (K)* 6. Electric current – Ampere (A) 7. Luminous intensity – candela (cd) • All measured quantities can be expressed in terms of these 7 base units
  • 12. UNITS OF MEASUREMENT (Metric System) • Prefix used in metric system • To indicate decimal fractions or multiples of various units Multiple Decimal equivalent Prefix Symbol English 109 1,000,000,000 giga- G billion 106 1,000,000 mega- M million 103 1,000 kilo- k thousand 102 100 hecto- h hundred 101 10 deca- da ten 100 1 NA NA NA 10-1 0.1 deci- d tenth 10-2 0.01 centi- c hundredth 10-3 0.001 milli- m thousandth 10-6 0.000001 micro- µ (mu) millionth 10-9 0.000000001 nano- n billionth 10-12 0.000000000001 pico- p trillionth
  • 13. UNITS OF MEASUREMENT Length and Mass - Unit SI for length = meter (m) - Mass: Measure of the amount of material in an object. - SI Unit= kilogram (kg) = 2.2 pounds (lb) Temperature - Measure of hotness or coldness of an object. - Physical property: determine the direction of heat flow - SI Unit: Kelvin (K): based on the property of gases -Zero Kelvin= -273.15 °C – lowest attainable temperature (absolute zero) - The Celsius (°C) scale is based on the properties of water. 0°C = 273.15 K is the freezing point of water 100°C = 373.15 K is the boiling point of water K= °C + 273.15 - Fahrenheit (°F) : Common in US (not generally used in scientific studies) °C = 5/9 (°F-32) or °F = 9/5 (°C) +32
  • 14. UNITS OF MEASUREMENT 1) The temperature of the room is 75°F. What is its temperature in Celsius degrees? 2) A child has a body temperature of 38.7°C. a)If normal body temperature is 98.6°F, does the child have a fever? b)What is the child’s temperature in Kelvin?
  • 15. UNITS OF MEASUREMENT DERIVED SI UNITS VOLUME  Given by its length cubed, (length)3  cm3 : Frequently used in chemistry  Another commonly used metric units for volume are the liter (L) A liter (L) = dm3 = 1000mL A milliliter (mm) = 1cm3  Syringe, burets and pipets deliver liquids with more precision than graduated cylinders.
  • 16. UNITS OF MEASUREMENT DERIVED SI UNITS DENSITY  Property of matter that is widely used to characterize a substance.  Density: mass/volume  Expressed in unit g/cm3 or g/mL.  Densities are temperature dependent – because most substances change volume when they are heated or cooled.  When reporting densities, temperature must be stated
  • 17. UNITS OF MEASUREMENT Calculating Density from Mass and Length 1) If a rectangular slab of Lithium (Li) has a mass of 1.49 x 10 3 mg and has sides that measure 20.9 mm by 11.1 mm by 11.9 mm, what is the density of Li in g/cm3 ?
  • 18. UNCERTAINTY IN MEASUREMENT Exact numbers: - Values are known exactly - 12 eggs in a dozen, 1000g in 1kg Inexact numbers: - Values have some uncertainty - Obtained by measurement - equipment and human errors Uncertainties always exist in measured quantities PRECISION AND ACCURACY Accuracy : How closely individual measurements agree with the correct or true value. Precision : Measure of how closely individual measurement agree with one another.
  • 19. UNCERTAINTY IN MEASUREMENT Significant Figures Rules for counting sig figs 1. Nonzero integers always count as sig figs 2. There are 3 classes of zeroes: a. Leading zeroes are zeroes that precede all the nonzero digits. These DO NOT count as sig fig. e.g. 0.0025 b. Captive zeroes are zeroes b/w nonzero digits. These ALWAYS count. E.g. 1.006 c. Trailing zeroes are zeroes at the right end of the number. They are significant ONLY IF the number contains a decimal point. E.g. 1.00
  • 20. UNCERTAINTY IN MEASUREMENT Rules of Significant Figures in Calculation • When addition or subtraction is performed, answers are rounded to the least significant decimal place. 12.11 +18.0 +1.013 = 31.123  to →31.1   corrected • 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. 4.56 x 1.4 =6.38   → .4   6 corrected to • BODMAS still applies – Bracket, Of, Division, Multiplication, Addition, Subtraction
  • 21. UNCERTAINTY IN MEASUREMENT Determining the Number of Significant Figures How many sig. fig in the given numbers below: (a) 0.1044 g (b) 0.0000007160 cm3 Determine the number of sig fig in the problem below: (a) 9.2 cm x 6.8 cm x 0.3744 cm (b) 865.9 – 2.8121
  • 22. UNCERTAINTY IN MEASUREMENT 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.
  • 23. UNCERTAINTY IN MEASUREMENT Use the form of the conversion factor that puts the sought-for unit in the numerator. desired unit Given unit × = desired unit given unit • For example, to convert 8.00 m to inches, – convert m to cm – convert cm to in. 100 cm 1 in. 8.00 m × × = 315 in. 1m 2.54 cm
  • 24. UNCERTAINTY IN MEASUREMENT Converting Units of Length a) To wire your stereo equipment, you need 325 centimeters (cm) of speaker wire that sells for RM 0.15/ft. What is the price of the wire? - 1 in = 2.54 cm 1ft = 12 in SOLUTION: Length (in) = length (cm) x conversion factor = 325 cm x in = 128 in 2.54 cm Length (ft) = length (in) x conversion factor = 128 in x ft = 10.7 ft 12 in Price ($) = length (ft) x conversion factor = 10.7 ft x RM 0.15 = $1.60 ft
  • 25. UNCERTAINTY IN MEASUREMENT Converting Units of Volume When a small piece of galena, an ore of lead, is submerged in the water of a graduated cylinder that originally reads 19.9 mL, the volume increases to 24.5 mL. What is the volume of the piece of galena in cm3 and in L? volume (mL) before and after addition subtract volume (mL) of galena 1 mL = 1 cm3 1 mL = 10-3 L volume (cm3) of volume (L) of galena galena SOLUTION: (24.5 - 19.9) mL = volume of galena = 4.6 mL 4.6 mL x 1 cm 4.6 mL x 10 L 3 -3 = 4.6 cm 3 = 4.6x10-3 L mL mL