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    U N I V ERSI T Y I N D O N ESI AOF

    Introduction:

    Matter and Measurement

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    U N I V ERSI T Y I N D O N ESI AOF

    Introduction: Matter

    and Measurement

    The Study of Chemistry

    Classification of Matter

    Properties of Matter Units of Measurement

    Uncertainty in Measurement

    Dimensional Analysis

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    U N I V ERSI T Y I N D O N ESI AOF

    The Study of

    Chemistry

    Chemistry is the study of matter and the

    changes that matter undergoes.

    Matter is made up of almost infinitesimally

    small building blocks called atoms.

    Atoms can combine together to form

    molecules.

    Molecules of a few familiar substances are

    represented here.

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    U N I V ERSI T Y I N D O N ESI AOF

    The Study of

    Chemistry

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    U N I V ERSI T Y I N D O N ESI AOF

    The Study of

    Chemistry

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    U N I V ERSI T Y I N D O N ESI AOF

    The Study of

    Chemistry

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    U N I V ERSI T Y I N D O N ESI AOF

    The Study of

    Chemistry

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    U N I V ERSI T Y I N D O N ESI AOF

    The Study of

    Chemistry

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    Matter can exist in one of three states of

    matter: a gas, a liquid, or a solid.

    A gas is highly compressible and will assume both

    the shape and the volume of its container.

    A liquid is not compressible and will assume the

    shape but not the volume of its container.

    A solid also is not compressible, and it has a fixedvolume and shape of its own.

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    Matter can also be classified according to its

    composition.

    Most of the matter that we encounter exists in

    mixtures, which are combinations of two or

    more substances.

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    Mixtures can be homogeneous or

    heterogeneous.

    Mixtures can be separated into

    pure substances, and pure substances can be

    either

    compounds or

    elements.

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    A familiar example of a mixture is salt water.

    A sample of salt water has the same

    composition throughout.

    It can be separated into pure substances

    water and ordinary table saltby a physical

    process, such as distillation.

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    Classification of Matter

    Pure water is collected in the flask on the right.

    When all of the water has been distilled from the

    mixture, pure saltNaClwill remain in the flask

    on the left.

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    Both water and salt are pure substances.They cannot be further separated into simpler substances

    by any physical process.

    Each, however, can be decomposed into other substances

    by a chemical process, namely electrolysis.

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    Electrolysis

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    The substances produced by the electrolysis of

    water cannot be further separated by any

    physical or chemical means.

    Oxygen and hydrogen are elements.

    When water is separated into its constituent

    elements, the relative amounts of those

    elements are always the same.

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    U N I V ERSI T Y I N D O N ESI AOF

    Classification of Matter

    Water is 11 percent hydrogen and 89 percent

    oxygen by mass.

    This is an example of the law of constant

    composition, also known as the law of

    definite proportions.

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    Classification of Matter

    Salt can also be separated into its constituent

    elements, sodium and chlorine, by

    electrolysis.

    Sodium chloride also has a constant

    composition, as do all pure substances. It is 39

    percent sodium and 61 percent chlorine by

    mass.

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    U N IV ERSIT Y I N D ON ESIAOF

    Properties of Matter

    Different types of matter have different

    distinguishing characteristics that we can use

    to tell them apart.

    These characteristics are called physical

    propertiesand chemical properties.

    Physical and chemical properties may be

    intensive or extensive.

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    U N I V ERSI T Y I N D O N ESI AOF

    Properties of Matter

    Intensive properties such as density, color, and

    boiling point do not depend on the size of the

    sample of matter and can be used to identify

    substances.

    Extensive properties such as mass and volume

    do depend on the quantity of the sample.

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    U N I V ERSI T Y I N D O N ESI AOF

    Properties of Matter

    Physical properties are those that we candetermine without changing the identity of thesubstance we are studying.

    For instance, we can observe or measure thephysical properties of sodium metal. It is a soft, lustrous, silver-colored metal with a

    relatively low melting point and low density.

    Hardness, color, melting point and density are all

    physical properties. Figure 7.15 shows a chunk of metallic sodium, which is

    soft enough to be cut with a knife.

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    Properties of Matter

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    Properties of Matter

    Chemical properties describe the way a

    substance can change or react to form other

    substances.

    These properties, then, must be determined

    using a process that changes the identity of

    the substance of interest.

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    Properties of Matter

    One of the chemical properties of alkali metals

    such as sodium and potassium is that they

    react with water.

    To determine this, though, we would have to

    combine an alkali metal with water and

    observe what happens.

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    Properties of Matter

    Section 1.3

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    Properties of Matter

    Sodium metal (Na) reacts rather vigorously

    with water to produce sodium hydroxide

    (NaOH) and hydrogen gas (H2).

    After the reaction has occurred, although we

    now have evidence of one of sodium metal's

    chemical properties, we no longer have

    sodium metal.

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    Properties of Matter

    Potassium reacts even more vigorously withwater to produce potassium hydroxide (KOH)and hydrogen gas.

    As with sodium, once we have determined achemical property of potassium metal, we nolonger have potassium metal.

    To determine the chemical properties of asubstance, it is necessary to change thesubstance's chemical identity.

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    Properties of Matter

    The changes undergone by sodium and

    potassium when they react with water are

    chemical changes, also known as chemical

    reactions.

    Matter can also undergo physical changes in

    which the chemical identity of the matter

    does not change.

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    Properties of Matter

    One example of a physical change is the

    melting of a solid.

    When ice melts, it changes from a solid state

    to a liquid state, but its chemical identity

    (H2O) is unchanged.

    All changes of state are physical changes.

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    Units of Measurement

    The scientific community uses SI units for

    measurement of such properties as mass,

    length, and temperature.

    There are seven SI base units from which all

    other necessary units are derived.

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    Units of Measurement

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    Units of Measurement

    Although the meter is the base SI unit used forlength, it may not be convenient to report thelength of an extremely small object or anextremely large object in units of meters.

    Decimal prefixes allow us to choose a unit that isappropriate to the quantity being measured.

    Thus, a very small object might best be measured

    in millimeters (1 millimeter = 0.001 meters),while a large distance might best be measured inkilometers (1 kilometer = 1000 meters).

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    Units of Measurement

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    Units of Measurement

    The SI unit of temperature is the kelvin,

    although the Celsius scale is also commonly

    used.

    The Kelvin scale is known as the absolute

    temperature scale, with 0 K being the lowest

    theoretically attainable temperature.

    K = oC + 273.15

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    Units of Measurement

    Note that there are no units of volume in

    Table 1.4.

    For measurements of volume, density, and

    other properties, we must derive the desired

    units from SI base units.

    In the case of volume, which has units of

    length cubed, (length)3, the basic SI unit for

    volume is the cubic meter (m3).

    U N I V ERSI T Y I N D O N ESI AOF

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    Units of Measurement

    This is an extremely large volume, though, andmore often you will see volumes reported inliters, L (1 cubic decimeter, or 1 dm3), ormilliliters, mL (which are the same as cubiccentimeters: 1 mL = 1 cm3).

    Density has units of mass per unit volume and isoften reported as grams per cubic centimeter,

    g/cm3

    .

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    Uncertainty in

    Measurement

    Even the most carefully taken measurements

    are always inexact.

    This can be a consequence of inaccurately

    calibrated instruments, human error, or any

    number of other factors.

    U N I V ERSI T Y I N D O N ESI AOF

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    Uncertainty in

    Measurement

    Two terms are used to describe the quality of

    measurements: precision and accuracy.

    Precision is a measure of how closely individual

    measurements agree with one another.

    Accuracy refers to how closely individually

    measured numbers agree with the correct or

    "true" value.

    U N I V ERSI T Y I N D O N ESI AOF

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    Whatever the source, all measurements

    contain error.

    Thus, all measured numbers contain

    uncertainty.

    It is important that these numbers be

    reported in such a way as to convey the

    magnitude of this uncertainty.

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    Consider a fourth-grade student who, when

    asked by his teacher how old the Earth is,

    replies "Four billion and three years old."

    (The student had been told by a first-gradeteacher three years earlier that the Earth was four

    billion years old.)

    Obviously, we don't know the age of Earth tothe year, so it is not appropriate to report a

    number that suggests we do.

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    In order to convey the appropriate uncertainty

    in a reported number, we must report it to the

    correct number ofsignificant figures.

    The number 83.4 has three digits.

    All three digits are significant.

    The 8 and the 3 are "certain digits" while the 4 is

    the "uncertain digit.

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    As written, this number implies uncertainty of

    plus or minus 0.1, or error of 1 part in 834.

    Thus, measured quantities are generally

    reported in such a way that only the last digit

    is uncertain.

    All digits, including the uncertain one, are

    called significant figures.

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    Guidelines

    Nonzero digits are always significant457 cm (3significant figures); 2.5 g (2 significant figures).

    Zeros between nonzero digits are alwayssignificant1005 kg (4 significant figures); 1.03 cm(3 significant figures).

    Zeros at the beginning of a number are never

    significant; they merely indicate the position ofthe decimal point0.02 g (one significant figure);0.0026 cm (2 significant figures).

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    Guidelines

    Zeros that fall at the end of a number or after the

    decimal point are always significant0.0200 g (3

    significant figures); 3.0 cm (2 significant figures). When a number ends in zeros but contains no

    decimal point, the zeros may or may not be

    significant130 cm (2 or 3 significant figures);

    10,300 g (3, 4, or 5 significant figures).

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    To avoid ambiguity with regard to the number ofsignificant figures in a number with tailing zerosbut no decimal point, such as 700, we usescientific (or exponential) notation to express the

    number. If we are reporting the number 700 to three

    significant figures, we can leave it written as it is,or we can express it as 7.00 102.

    There is no ambiguity in the latter regarding thenumber of significant figures, because zeros aftera decimal point are always significant.

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    However, if there really should be only two significantfigures, we can express this number as 7.0 x102.

    Likewise, if there should be only one significant figure,we can write 7 x102.

    Scientific notation is convenient for expressing theappropriate number of significant figures.

    It is also useful to report extremely large and extremelysmall numbers.

    It would be most inconvenient for us to have to writeall of the zeros in the number 1.91 10-24(0.00000000000000000000000191).

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    Uncertainty in

    Measurement

    When measured numbers are used in a calculation, thefinal answer cannot have any greater certainty than themeasured numbers that went into the calculation.

    In other words, the precision of the result is limited by

    the precision of the measurements used to obtain thatresult.

    For example: If we measure the length of one side of acube and find it to be 1.35 cm; and we then calculate

    the volume of the cube using this measured length, weget an answer of 2.460375 cm3.

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    Uncertainty in

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    Our original measurement had three significantfigures.

    The implied uncertainty in 1.35 is 1 part in 135.

    If we report the volume of the cube to sevensignificant figures, we are implying an uncertaintyof 1 part in over two million!

    We can't do that.

    In order to report results of calculations so as toimply a realistic degree of uncertainty, we mustfollow the following rules.

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    Uncertainty in

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    When multiplying or dividing measurednumbers, the answer must have the samenumber of significant figures as the measured

    number with the fewest significant figures. When adding or subtracting, the answer can

    have only as many places to the right of thedecimal point as the measured number with

    the smallest number of places to the right ofthe decimal point.

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    Uncertainty in

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    Using these rules, we would report the

    volume of the cube in the example above as

    2.46 cm3.

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    Dimensional Analysis

    Solving problems in chemistry requires carefulmanipulation of numbers and their associatedunits, a method known as dimensional

    analysis. For example: What is the volume of a 5.25-

    gram sample of a liquid with density 1.23g/mL?

    The density of the liquid can be used as aconversion factor.

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    Dimensional Analysis

    For the liquid in the example, 1.23 grams are

    equal to 1 milliliter (1 mL).

    When the numerator and denominator of a

    fraction are equal, the fraction has a value of1, meaning that we can multiply by it for the

    purpose of changing units.

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    Dimensional Analysis

    The density conversion factor can be

    expressed in either of the following two ways.

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    Thank You