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Chapter 2 Measurements and Calculations
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Sec 1 Scientific Method def. a logical approach to solving problems by: 1. observing and collecting data 2. formulating hypothesis 3. testing hypotheses 4. formulating theories that are supported by data
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1. Observing and Collecting Data
use of sense to obtain information making measurements collecting data: 1. qualitative 2. quantitative
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Experimenting involves…
carrying out a procedure under controlled conditions to make observations and collect data To learn more about matter chemists study systems… System specific portion of matter in a given region of space that has been selected for studying during an experiment or observation ex: reaction in test tube test tube and contents form a system
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2. Formulating Hypotheses
def. testable statement basis for making predictions and for carrying out further experiments “if-then” statements
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3. Testing Hypothesis experimentation that provides data to support or refute hypothesis controls def. experimental conditions that remain constant variable def. condition that changes
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4. Theorizing theory def. broad generalization that explains a body of facts or phenomena ex: kinetic molecular theory particles are always in motion
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Interpreting Graphs What is the dependent variable? ______________________________ What is the temperature at 5:00 PM? ______________________________
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Units of Measurement Sections 2
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Units of Measurements using SI
We use measurements to represent quantities. A quantity is something that has magnitude, size or amount. Le Systeme International de Unites, abbreviated SI, is the single measurement system upon which scientist have agreed. You will need to know the base units and prefixes on the following 2 slides. They must be memorized!!!
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Units of Measurement SI Measurements
Quantity Symbol Unit name Unit abbreviation length l meter m mass kilogram kg time t second s Temperature T Kelvin K Amount of Substance n mole mol
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Prefixes for Base Units
Abbrev Factor Meaning Ratio Giga- G 109 1,000,000,000 meters/1Gigameter Mega- M 106 1,000,000 meters/1Megameter Kilo- k 103 1000 1,000 meters/ 1kilometer BASE 100 1 Deci- d 10-1 1/10 1 meter/ 10decimeters Centi- c 10-2 1/100 100centimeters Milli- m 10-3 1/1000 1meter/1,000 millimeters Micro- u 10-6 1/1,000,000 1,000,000 micrometers Nano- n 10-9 1/1,000,000,000 1 meter/ 1,000,000,000 nanometers
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Mass A measure of the quantity of matter. What it isn’t
Weight (the measure of gravitational pull on matter) The SI unit for mass is kilogram but the base unit is actually the gram
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Length A measure of distance
SI unit for length for meter but kilometer is used for longer lengths/distances
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What unit would you use to measure the length and mass of these items----
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Derived Units Formed by combining SI base units through multiplying or dividing standard units Quantity Quantity Symbol Unit Unit Abbr. Derivation Volume V Cubic meter m3 length X width X height Density D Grams per ml g/ml mass/volume Molar Mass M Grams per mole g/mol mass/amount of substance Density Triangle
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Volume The amount of space occupied by an object.
We use liter and milliliter for volume, which are actually non-SI units 1 milliliter =1 cm3
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Volume of an Irregularly Shaped Objects
Ex: Find the volume of a dinosaur? A. Displacement= the volume of water displaced by the object is equal to its volume
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Density Density is a measure of compactness
It is the ratio of mass to volume or mass divided by volume
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A sample of aluminum metal has a mass of 8. 4 g
A sample of aluminum metal has a mass of 8.4 g. The volume of the sample is 3.1 cm3. Calculate the density.
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What is the volume of a sample of liquid mercury that has a mass of 76
What is the volume of a sample of liquid mercury that has a mass of 76.2 g, given the density of mercury is 13.6 g/mL?
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Mystery Cubes Density Activity
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Conversion Factors Conversion factor is a ratio derived from the equality between two different units that can be used to convert from one unit to the other.
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1. How many meters are in a km?
2. How many grams are in a mg? .001 g 3. How many amperes are in a MA? 1,000,000 A 4. What does the prefix µ mean? Micro 5. Convert 61 mA into A. .061 A 6. Convert nm into m. m 7. Convert 5 mol into kmol. .005 jmol
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Conversion Factor Problems
Sample and Practice Problems pp Section Review p. 42
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Sec 3 Using Scientific Measurements
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Accuracy and Precision
Accuracy refers to the closeness of measurements to the correct or accepted value of the quantity measured Precision refers to the closeness of a set of measurement to the same quantity made in the same way
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Percentage Error Calculated by subtracting the accepted (theoretical) value from the experimental value, dividing the difference by the accepted (theoretical), and then multiplying by 100.
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Significant Figures Rules: All nonzero digits are significant
Captive zeros are ALWAYS significant Leading zeros are NEVER significant Trailing zeros are significant IF there is a decimal
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Significant Figures How many significant figures are there in the following: g ______ mm ______ 2900 ft ______ ft ______
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Scientific Notation Numbers are written in the form M X 10n, where the factor M is a number greater than or equal to 1 but less than 10 and n is a whole number.
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Using a Calculator for Scientific Notation
When we use a calculator for scientific notation we use the 2ND function button and the , button above the 7. Practice problems— 5.3 X 103 / 3.2 X X 10-6 * 1.34 X 104
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Direct and Inverse Proportions
Two quantities are directly proportional to each other if dividing one by the other gives a constant value. y/x = k Two quantities are inversely proportional to each other if their product is a constant. y = kx The value of k is a constant
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