Classification of Matter and the Math of Chemistry

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69 Terms

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Chemistry

The study of matter; its composition, properties, and the changes/transformations it can undergo

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Matter

Anything that has mass and occupies space/has volume

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Mass

The amount of material/matter in an object

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Volume

The amount of space an object occupies

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Solid

A state of matter with fixed shape and fixed volume; particles are in a fixed arrangement and solids are not easily compressed

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Liquid

A state of matter with fixed volume but no fixed shape; it takes the shape of its container and is not very compressible

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Gas

A state of matter with no fixed shape or volume; it fills its container, has very low density, and is highly compressible

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Physical property

A property that can be observed or measured without changing the substance’s composition (ex: melting point, density, color, magnetism)

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Chemical property

A property that describes how a substance can be converted into another substance (ex: ability to rust, burn, or tarnish

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Qualitative property

A property described in terms of appearance, not numbers or units (ex: color, odor, taste)

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Quantitative property

A property described with a number and unit (ex: 25.0 mL, 2.5 g, 37 °C)

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Intensive property

A property that does NOT depend on the amount of substance present (ex: density, temperature, boiling point, color)

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Extensive property

A property that DOES depend on the amount of substance present (ex: mass, volume)

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Physical change

A change that alters the form, state, or appearance of a substance without changing its composition (ex: changes of state, cutting, grinding)

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Chemical change

A change in which one or more substances are converted into new substances with new properties (a chemical reaction)

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Examples of physical changes

Changes of state (melting, boiling, freezing, sublimation), dissolving, cutting, grinding, crushing

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Examples of chemical changes

Burning, rusting, toasting, tarnishing, gas burning in air, reacting with acid

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Signs of a chemical change

Change in color or odor, formation of a gas (bubbles), formation of a precipitate (solid), change in light or heat

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Pure substance

Matter composed of only a single component (atom or molecule) with constant composition; cannot be separated into other pure substances by physical changes

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Element

A pure substance made of only one type of atom; cannot be broken down into simpler substances by chemical changes

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Compound

A pure substance composed of two or more elements chemically combined in a definite ratio; can be broken down into simpler substances by chemical changes

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Difference between elements and compounds

Elements contain only one type of atom and cannot be broken down by chemical changes; compounds contain two or more elements chemically combined and can be broken down into simpler substances with different properties

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Change required between elements and compounds

A chemical change is required to change elements into compounds and to break compounds back into elements

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Mixture

Matter that consists of two or more substances physically mixed, not chemically combined; components can be separated by physical means

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Homogeneous mixture (solution)

A mixture with uniform composition throughout; different parts are not visible (ex: air, salt water, rubbing alcohol)

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Heterogeneous mixture

A mixture with non-uniform composition; different parts are visible and may have different compositions (ex: muddy water, pasta and sauce, paint)

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Evaporation (separation method)

A method that separates a dissolved solid from a liquid by allowing the liquid to vaporize, leaving the solid behind

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Filtration

A separation technique that uses a porous barrier (like filter paper) to separate a solid from a liquid in a heterogeneous mixture

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Distillation

A separation technique that separates liquids based on differences in their boiling points; the more volatile component boils first, is condensed, and collected

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Chromatography

A separation technique that separates components of a mixture based on how they move along a stationary phase; different components travel at different speeds

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Measurement (two components)

Every measurement has two components: a number and a unit

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Qualitative measurement

A description without numbers or units (ex: “blue,” “cloudy,” “has a pungent odor”)

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Quantitative measurement

A measurement that includes a number and a unit (ex: 25.0 mL, 2.5 g, 37 °C)

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Accuracy

How close a measurement is to the true or accepted value

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Precision

How close repeated measurements are to each other (the reproducibility of a measurement)

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Systematic error

An error inherent in the measurement or instrument that makes results consistently too high or too low; minimized by calibrating instruments and correcting the procedure

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Random error

Error related to the estimation of the last digit in a measurement; causes measurements to vary in both directions around the true value; minimized by repeated measurements and averaging

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Significant figures (sig figs)

All the certain digits in a measured number plus one estimated digit; they show the precision of the measurement and measuring device

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Why we use significant figures

To reflect the uncertainty of measurements and avoid implying more certainty than the data support in calculated answers

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Sig fig rule: nonzero digits

All nonzero digits (1–9) are always significant

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Sig fig rule: leading zeros

Leading zeros (before the first nonzero digit) are never significant

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Sig fig rule: embedded zeros

Embedded zeros (between nonzero digits) are always significant

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Sig fig rule: trailing zeros

With a decimal point, trailing zeros are significant (27.00 has 4 sig figs); without a decimal, trailing zeros are not significant (30,000 has 1 sig fig)

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Sig fig rule for addition and subtraction

The result must have the same number of decimal places as the quantity with the fewest decimal places 

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Sig fig rule for multiplication and division

The result must have the same number of significant figures as the quantity with the fewest significant figures in the calculation

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Scientific notation

Writing a number in the form M × 10ⁿ, where 1 ≤ M < 10 and n is an integer (positive or negative)

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Converting a large number to scientific notation

Move the decimal point left until one nonzero digit remains to its left; the number of places moved is a positive exponent

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Converting a small number to scientific notation

Move the decimal point right until one nonzero digit remains to its left; the number of places moved is a negative exponent

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Metric prefixes from pico to mega

pico (p, 10⁻¹²), nano (n, 10⁻⁹), micro (µ, 10⁻⁶), milli (m, 10⁻³), centi (c, 10⁻²), kilo (k, 10³), mega (M, 10⁶)

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Base SI units

The base SI units are: kilogram (kg) for mass, meter (m) for length, and second (s) for time

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Common chemistry units for volume

Liter (L) and milliliter (mL), and cubic centimeter (cm³); 1 cm³ = 1 mL

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Common chemistry units for density

Solids in g/cm³, liquids in g/mL, gases in g/L

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Dimensional analysis (definition)

A method of problem solving using conversion factors to change units while keeping track of units

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Dimensional analysis steps

(1) Find where you start and where you want to go. (2) Write any needed equalities. (3) Make conversion factors from the equalities. (4) Set up conversions so units cancel step by step. (5) Multiply numbers on top and divide by numbers on bottom once only desired units remain

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Equality (unit conversions)

A statement that shows the same measurement in two different units (for example, 1 in = 2.54 cm, 1 kg = 1000 g)

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Conversion factor

A ratio made from an equality and equal to 1 (for example, 2.54 cm/1 in or 1 in/2.54 cm) used to convert from one unit to another

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Temperature

A measure of how hot or cold an object is compared to another; it indicates the direction of heat flow (from higher temperature to lower temperature)

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Absolute zero

The temperature 0 K, at which all molecular motion stops

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Temperature conversion: Celsius to Kelvin 

K = °C + 273

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Temperature conversion: Celsius to Fahrenheit

°F = 1.8(°C) + 32

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Temperature conversion: Fahrenheit to Celsius

°C = (°F − 32) ÷ 1.8

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Density (definition)

A physical property that relates mass to volume; d = m ÷ V

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Density formula

The relationship d = m/V, where d is density, m is mass, and V is volume

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Units of density

Solids: g/cm³; liquids: g/mL; gases: g/L

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Using density to find mass

Rearrange d = m/V to m = d × V and multiply density by volume to find mass

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Using density to find volume

Rearrange d = m/V to V = m ÷ d and divide mass by density to find volume

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Water displacement method for volume

A method for finding the volume of an irregular solid by measuring how much the water level in a graduated cylinder rises when the object is submerged; volume of the object equals (final volume − initial volume)

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Using water displacement in density problems

Use displacement to find the object’s volume, measure its mass, then calculate density with d = m ÷ V

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Using density as a conversion factor

Use density as an equality (for example, 3.8 g = 1 mL) to write conversion factors (3.8 g/1 mL or 1 mL/3.8 g) and convert between mass and volume in dimensional analysis problems