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Chapter 1: Matter, Energy, and Measurement

1.1 The Study of Chemistry

The Atomic and Molecular Perspective of Chemistry

  • Chemistry- the study of the properties and behavior of matter.

  • Matter - the physical material of the universe; anything that has mass and takes up space.

  • A property is any characteristic that allows us to recognize a particular type of matter and to distinguish it from other types.

  • Elements combine together to create matter.

  • Atoms - the tiniest particles that are the building blocks of matter.

  • Molecules - two or more atoms.

    • Different molecules can be made from the same elements.

Why Study Chemistry?

  • Helps improve pharmaceuticals, fertilizers and pesticides, plastics, solar panels, light emitting diodes, and building materials.

  • Identify harmful chemicals.

Chemists

  • They do three things:

    • Make new types of matter, materials, substances, or combinations of substances with desired properties.

    • Measure the properties of matter.

    • Develop models that explain and/or predict the properties of matter.


1.2 Classifications of Matter

States of Matter

  • Three states of matter:

    • Solid (s)

      • Fixed volume and shape.

      • Molecules packed tightly together.

      • Fixed shape and volume.

    • Liquid (l)

      • Fixed volume and shape fits to container.

      • Closely packed molecules.

      • Molecules move fast.

    • Gas (g)

      • No fixed volume or shape, fits container.

      • Molecules are far apart.

      • Molecules can move fast and bounce off container walls.

      • Open space = less interaction between molecules.

      • Smaller container = molecules hit each other.

      • Collisions do not affect shape or volume.

    • States of matter can change through temperature or pressure.

Pure Substances

  • Pure substance - matter that has distinct properties and a composition that does not vary from sample to sample.

    • Ex: Water and table salt.

  • Elements

    • Can’t be decomposed into simpler substances.

    • Composed of only one kind of atom.

  • Compounds

    • Can be decomposed because it is made up of two or more elements, so the are two or more types of atoms.

  • Mixtures - combinations of two or more substances in which each substance retains its chemical identity.

Elements

  • 118 named elements.

  • Element symbols have one or two letters. First letter capitalized, second lowercase.

  • Elements are found on the periodic table.

  • Columns of periodic table have elements with similar properties.

Compounds

  • Elements can form compounds.

  • Law of constant composition - states that the elemental composition of a compound is always the same.

Mixtures

  • Matter is made up of mixtures of different substances.

  • Mixtures can have various compositions.

  • Components of a mixture are substances making up a mixture.

  • Heterogeneous mixtures vary in composition.

  • Homogeneous mixtures have uniformed compositions.

    • Aka solutions


1.3 Properties of Matter

  • Physical properties can be observed without changing the identity and composition of the substance.

    • Color, odor, density, melting point, boiling point, hardness

  • Chemical properties describe the way a substance may change, or react, to form other substances.

    • Flammability

  • Intensive properties do not depend on the amount of sample being examined and are particularly useful in chemistry.

    • Temperature, melting point

  • Extensive properties depend on the amount of sample. Relates to the amount of substance present.

    • Mass, volume

Physical and Chemical Changes

  • Physical changes - substance changes physical appearance but not composition.

    • Ex: Water

    • Changes of state are physical changes.

  • Chemical change (aka chemical reaction) - a substance transforms into a new substance.

    • Ex: Burning, rusting

Separation of Mixtures

  • Filtration - separates solids from liquids or gases using a filter.

  • Distillation - a separation process that depends on the different abilities of substances to form gases.


1.4 The Nature of Energy

  • Energy - the ability to do work or transfer heat.

  • Work - the energy transferred when a force is exerted on an object causes a displacement of that object.

  • Heat - the energy used to cause the temperature of an object to increase.

  • Force - any push or pull exerted on an object.

  • Equation for work:

    • w=F×dw=F\times d

    • w = work

    • F = force

    • d = distance

Kinetic Energy and Potential Energy

  • Kinetic energy - energy of motion.

    • Equation for kinetic energy:

      • KE=12mv2KE=\dfrac{1}{2}mv^{2}

      • KE = kinetic energy

      • m = mass

      • v = velocity

    • Molecules and atoms are in motion.

  • Potential energy - stored energy.

    • Equation for potential energy:

      • PE=mghPE=mgh

      • PE = potential energy

      • m = mass

      • g = gravity

      • h = height

  • Electrostatic potential energy - arises from the interactions between charged particles.

    • Opposite charges attract, same charges repel.


1.5 Units of Measurement

  • Quantitative - numerical measurements.

SI Units

  • SI units - preferred metric units for science.

    Physical Quantity

    Unit Name

    Abbrev.

    Length

    Meter

    m

    Mass

    Kilograms

    kg

    Temperature

    Kelvin

    K

    Time

    Second

    s or sec

    Amount of substance

    Mole

    mol

    Electric current

    Ampere

    A or amp

    Luminous intensity

    Candela

    cd

The Scientific Method

  • Hypothesis - a prediction of what the results of an experiment/research may be based on observations.

  • Theory - a model that has predictive powers and accounts for all observations.

  • Steps of the scientific method:

    • Collect information

    • Formulate a hypothesis

    • Test the hypothesis

    • Formulate a theory

    • Repeatedly test theory

Length and Mass

  • SI unit for length is the meter.

  • SI unit for mass is the kilogram

Temperature

  • Temperature - a measure of the hotness or coldness of an object, is a physical property that determines the direction of heat flow.

  • SI unit for temperature is Kelvin.

    • Absolute zero

      • 0 K

      • -273.15 C

  • Equation for converting Celsius to Kelvin:

    • K=C+273.15K = C+273.15

  • Equation for coverting Celsius to Fahrenheit:

    • F=95(C+32)F=\dfrac{9}{5}\left( C+32\right)

  • Equation for converting Fahrenheit to Celsius:

    • C=59(F32)C=\dfrac{5}{9}\left( F-32\right)

Derived SI Units

  • A derived unit is obtained by multiplication or division of one or more base units.

Volume

  • The derived SI unit for volume is m³ (cubic meter).

  • Liters are also used.

Density

  • Density - the amount of mass in a unit volume of a substance.

  • Equation for density:

    • density = mass/volume

    • d=mvd=\dfrac{m}{v}

Units of Energy

  • The SI unit for energy is the joule (J).

  • A larger SI unit used is the kilojoule (kJ).

  • A calorie (cal) is a non-SI unit that is the amount of energy required to raise the temperature of 1 g of water by one degree Celsius.

  • 1 cal = 4.184 J

  • 1 Cal = 1000 cal = 1 kcal


1.6 Uncertainty in Measurement

  • Exact numbers - exact values

    • Defined values

    • Example: 12 eggs in a dozen

  • Inexact numbers - values of some uncertainty

    • Numbers from measurements.

    • Uncertainties always exist in measured quantities.

    • May be inexact from errors (equipment or human errors).

Precision and Accuracy

  • Precision - measure of how closely individual measurements agree with one another.

  • Accuracy - how closely individual measurements agree with the correct/”true” value.

Significant Figures

  • Significant figures - all digits of a measured quantity.

  • The greater amount of significant figures, the more precise the measurement is.

  • What numbers are significant:

    • All non-zeros

    • Zeros between non-zeros

    • Zeros at the end if theres a decimal point

  • Zeros at the beginning of a number are NEVER SIGNIFICANT.

  • Adding and subtracting significant figures:

    • The answer has the same number of decimal places as the measurement with the fewest decimal places.

      • 20.42 + 1.322 + 83.1 = 104.842

        • 20.42 = two decimal places

        • 1.322 = three decimal places

        • 83.1 = one decimal places

        • Answer: 104.8 (one decimal place)

  • Multiplying and dividing significant figures:

    • The answer has the same number of significant figures as the measurement with the fewest significant figures.

      • (6.221)(5.2) = 32.3492

      • 6.221 = four significant figure

      • 5.2 = 2 significant figures

      • Answer: 32 (2 significant figures)


1.7 Dimensional Analysis

  • In dimensional analysis, units are multiplied together or divided into each other along with the numerical values.

  • Equivalent units cancel out.

Conversion Factors

  • Conversion factor - a fraction whose numerator and denominator are the same quantity expressed in different units.

    • Examples:

      • 1 foot/12 inches = 12 inches/1 foot

  • Denominator is used to cancel units.

  • Given unit x Desired unit/Given unit

    • Given unit cancels

  • Two or more conversion factors:

    • First conversion cancel given unit.

    • Following conversions cancels another unit and gives desired.


Chapter Equations

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Chapter 1: Matter, Energy, and Measurement

1.1 The Study of Chemistry

The Atomic and Molecular Perspective of Chemistry

  • Chemistry- the study of the properties and behavior of matter.

  • Matter - the physical material of the universe; anything that has mass and takes up space.

  • A property is any characteristic that allows us to recognize a particular type of matter and to distinguish it from other types.

  • Elements combine together to create matter.

  • Atoms - the tiniest particles that are the building blocks of matter.

  • Molecules - two or more atoms.

    • Different molecules can be made from the same elements.

Why Study Chemistry?

  • Helps improve pharmaceuticals, fertilizers and pesticides, plastics, solar panels, light emitting diodes, and building materials.

  • Identify harmful chemicals.

Chemists

  • They do three things:

    • Make new types of matter, materials, substances, or combinations of substances with desired properties.

    • Measure the properties of matter.

    • Develop models that explain and/or predict the properties of matter.


1.2 Classifications of Matter

States of Matter

  • Three states of matter:

    • Solid (s)

      • Fixed volume and shape.

      • Molecules packed tightly together.

      • Fixed shape and volume.

    • Liquid (l)

      • Fixed volume and shape fits to container.

      • Closely packed molecules.

      • Molecules move fast.

    • Gas (g)

      • No fixed volume or shape, fits container.

      • Molecules are far apart.

      • Molecules can move fast and bounce off container walls.

      • Open space = less interaction between molecules.

      • Smaller container = molecules hit each other.

      • Collisions do not affect shape or volume.

    • States of matter can change through temperature or pressure.

Pure Substances

  • Pure substance - matter that has distinct properties and a composition that does not vary from sample to sample.

    • Ex: Water and table salt.

  • Elements

    • Can’t be decomposed into simpler substances.

    • Composed of only one kind of atom.

  • Compounds

    • Can be decomposed because it is made up of two or more elements, so the are two or more types of atoms.

  • Mixtures - combinations of two or more substances in which each substance retains its chemical identity.

Elements

  • 118 named elements.

  • Element symbols have one or two letters. First letter capitalized, second lowercase.

  • Elements are found on the periodic table.

  • Columns of periodic table have elements with similar properties.

Compounds

  • Elements can form compounds.

  • Law of constant composition - states that the elemental composition of a compound is always the same.

Mixtures

  • Matter is made up of mixtures of different substances.

  • Mixtures can have various compositions.

  • Components of a mixture are substances making up a mixture.

  • Heterogeneous mixtures vary in composition.

  • Homogeneous mixtures have uniformed compositions.

    • Aka solutions


1.3 Properties of Matter

  • Physical properties can be observed without changing the identity and composition of the substance.

    • Color, odor, density, melting point, boiling point, hardness

  • Chemical properties describe the way a substance may change, or react, to form other substances.

    • Flammability

  • Intensive properties do not depend on the amount of sample being examined and are particularly useful in chemistry.

    • Temperature, melting point

  • Extensive properties depend on the amount of sample. Relates to the amount of substance present.

    • Mass, volume

Physical and Chemical Changes

  • Physical changes - substance changes physical appearance but not composition.

    • Ex: Water

    • Changes of state are physical changes.

  • Chemical change (aka chemical reaction) - a substance transforms into a new substance.

    • Ex: Burning, rusting

Separation of Mixtures

  • Filtration - separates solids from liquids or gases using a filter.

  • Distillation - a separation process that depends on the different abilities of substances to form gases.


1.4 The Nature of Energy

  • Energy - the ability to do work or transfer heat.

  • Work - the energy transferred when a force is exerted on an object causes a displacement of that object.

  • Heat - the energy used to cause the temperature of an object to increase.

  • Force - any push or pull exerted on an object.

  • Equation for work:

    • w=F×dw=F\times d

    • w = work

    • F = force

    • d = distance

Kinetic Energy and Potential Energy

  • Kinetic energy - energy of motion.

    • Equation for kinetic energy:

      • KE=12mv2KE=\dfrac{1}{2}mv^{2}

      • KE = kinetic energy

      • m = mass

      • v = velocity

    • Molecules and atoms are in motion.

  • Potential energy - stored energy.

    • Equation for potential energy:

      • PE=mghPE=mgh

      • PE = potential energy

      • m = mass

      • g = gravity

      • h = height

  • Electrostatic potential energy - arises from the interactions between charged particles.

    • Opposite charges attract, same charges repel.


1.5 Units of Measurement

  • Quantitative - numerical measurements.

SI Units

  • SI units - preferred metric units for science.

    Physical Quantity

    Unit Name

    Abbrev.

    Length

    Meter

    m

    Mass

    Kilograms

    kg

    Temperature

    Kelvin

    K

    Time

    Second

    s or sec

    Amount of substance

    Mole

    mol

    Electric current

    Ampere

    A or amp

    Luminous intensity

    Candela

    cd

The Scientific Method

  • Hypothesis - a prediction of what the results of an experiment/research may be based on observations.

  • Theory - a model that has predictive powers and accounts for all observations.

  • Steps of the scientific method:

    • Collect information

    • Formulate a hypothesis

    • Test the hypothesis

    • Formulate a theory

    • Repeatedly test theory

Length and Mass

  • SI unit for length is the meter.

  • SI unit for mass is the kilogram

Temperature

  • Temperature - a measure of the hotness or coldness of an object, is a physical property that determines the direction of heat flow.

  • SI unit for temperature is Kelvin.

    • Absolute zero

      • 0 K

      • -273.15 C

  • Equation for converting Celsius to Kelvin:

    • K=C+273.15K = C+273.15

  • Equation for coverting Celsius to Fahrenheit:

    • F=95(C+32)F=\dfrac{9}{5}\left( C+32\right)

  • Equation for converting Fahrenheit to Celsius:

    • C=59(F32)C=\dfrac{5}{9}\left( F-32\right)

Derived SI Units

  • A derived unit is obtained by multiplication or division of one or more base units.

Volume

  • The derived SI unit for volume is m³ (cubic meter).

  • Liters are also used.

Density

  • Density - the amount of mass in a unit volume of a substance.

  • Equation for density:

    • density = mass/volume

    • d=mvd=\dfrac{m}{v}

Units of Energy

  • The SI unit for energy is the joule (J).

  • A larger SI unit used is the kilojoule (kJ).

  • A calorie (cal) is a non-SI unit that is the amount of energy required to raise the temperature of 1 g of water by one degree Celsius.

  • 1 cal = 4.184 J

  • 1 Cal = 1000 cal = 1 kcal


1.6 Uncertainty in Measurement

  • Exact numbers - exact values

    • Defined values

    • Example: 12 eggs in a dozen

  • Inexact numbers - values of some uncertainty

    • Numbers from measurements.

    • Uncertainties always exist in measured quantities.

    • May be inexact from errors (equipment or human errors).

Precision and Accuracy

  • Precision - measure of how closely individual measurements agree with one another.

  • Accuracy - how closely individual measurements agree with the correct/”true” value.

Significant Figures

  • Significant figures - all digits of a measured quantity.

  • The greater amount of significant figures, the more precise the measurement is.

  • What numbers are significant:

    • All non-zeros

    • Zeros between non-zeros

    • Zeros at the end if theres a decimal point

  • Zeros at the beginning of a number are NEVER SIGNIFICANT.

  • Adding and subtracting significant figures:

    • The answer has the same number of decimal places as the measurement with the fewest decimal places.

      • 20.42 + 1.322 + 83.1 = 104.842

        • 20.42 = two decimal places

        • 1.322 = three decimal places

        • 83.1 = one decimal places

        • Answer: 104.8 (one decimal place)

  • Multiplying and dividing significant figures:

    • The answer has the same number of significant figures as the measurement with the fewest significant figures.

      • (6.221)(5.2) = 32.3492

      • 6.221 = four significant figure

      • 5.2 = 2 significant figures

      • Answer: 32 (2 significant figures)


1.7 Dimensional Analysis

  • In dimensional analysis, units are multiplied together or divided into each other along with the numerical values.

  • Equivalent units cancel out.

Conversion Factors

  • Conversion factor - a fraction whose numerator and denominator are the same quantity expressed in different units.

    • Examples:

      • 1 foot/12 inches = 12 inches/1 foot

  • Denominator is used to cancel units.

  • Given unit x Desired unit/Given unit

    • Given unit cancels

  • Two or more conversion factors:

    • First conversion cancel given unit.

    • Following conversions cancels another unit and gives desired.


Chapter Equations