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Foundations of Chemistry. Prefixes. Tera- T 1,000,000,000,000 10 12 giga- G 1,000,000,000 10 9 mega - M 1,000,000 10 6 kilo - k 1,000 10 3 deci- d 0.1 10 -1 centi- c 0.01 10 -2 milli- m 0.001 10 -3 micro- m 0.000001 10 -6 nano- n 0.000000001 10 -9
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Prefixes • Tera- T 1,000,000,000,000 1012 • giga- G 1,000,000,000 109 • mega - M 1,000,000 106 • kilo - k 1,000 103 • deci- d 0.1 10-1 • centi- c 0.01 10-2 • milli- m 0.001 10-3 • micro- m 0.000001 10-6 • nano- n 0.000000001 10-9 • pico- p 0.000000000001 10-12
Prefixes • Tera- T 1,000,000,000,000 1012 • giga- G 1,000,000,000 109 • mega - M 1,000,000 106 • kilo - k 1,000 103 • deci- d 0.1 10-1 • centi- c 0.01 10-2 • milli- m 0.001 10-3 • micro- m 0.000001 10-6 • nano- n 0.000000001 10-9 • pico- p 0.000000000001 10-12
Mass • is the amount of matter in an object. • Tool - balance scale • Standard SI unit – kilogram • Base unit - gram • Common units = mg,mg, g, kg • Weight – pull of gravity on matter
Length • The distance between two points • Tool – metric ruler • Standard unit - meter • Common units – mm, cm, m, km
Derived Units • Many SI units are combinations of base units called derived units • Examples we will use at this time are volume and density
Volume • The amount of space an object occupies • V = L x W x H • Tools – metric ruler, graduated cylinder, buret, volumetric flask • SI unit - m3 • 1 Liter = 1 dm3 • 1 mL = 1 cm3 = 1 cc
Using Scientific Measurements • All measurements have a certain degree of uncertainty • Uncertainty can result in limitations that depend on the instrument or the experimenter • Scientists use two word to describe how good the measurements are
How good are the measurements? • Accuracy- how close the measurement is to the actual value • Precision- how closely the numerical values of a set of measurements agree with each other • Random error - equal chance of being high or low- addressed by averaging several measurements • Systematic error- same direction each time, they can be compensated for
Percent Error Accuracy is judged using percent error. The formula is: Actual Value – Experimental Value x 100 Actual Value
Significant figures (sig figs) • Scientists record measurements in significant figures. • Sig figs consist of all the digits known with certainty plus a final digit that is estimated.
Rules for Determining Sig Figs • All nonzero digits are significant • Exact numbers (from counting or definitions) do not limit sig figs • All zeros between nonzero digits are significant
Atlantic/Pacific Rule for Determining Sig Figs • If a decimal point is Present, count from the Pacific side • If a decimal point is Absent, count from the Atlantic Side • Begin counting with the first nonzero digit you come to and then keep counting
Adding and subtracting with sig figs • Round the answer so that the estimated digit is in the same place value as the least precise measurement
27.93 + 6.4 27.93 27.93 + 6.4 6.4 For example • First line up the decimal places Then do the adding Find the estimated numbers in the problem 34.33 This answer must be rounded to the tenths place
Multiplication and Division • The answer should have the same number of significant figures as the measurement with the least number of sig figs • 3.6 x 653 • 2350.8 • 3.6 has 2 s.f. 653 has 3 s.f. • answer can only have 2 s.f. • 2400
Dimensional Analysis • A problem solving method that treats units in calculations as algebraic factors • Units common to both numerators and denominators are cancelled and removed from the expressions • A conversion factors is used to convert from one unit to the other • Exact conversions do not limit significant figures
Density • D = M / V • An intensive property (it is unaffected by the size of the sample) • Density is often used to identify substances. • Common units - g/ cm3, g/mL, g/L • Tools? -
Density • As the mass of the substance increases the volume increases proportionately and the ratio of mass to volume (density) is constant • This is a direct proportion therefore the graph is a straight line that passes through the origin.
Density • Because most substances expand with an increase in temperature (increasing the volume), density usually decreases with increasing volume. • Density varies with temperature
Density of water • 1 g of water is 1 mL of water. • density of water is 1 g/mL (at 4ºC) • Specific gravity - the density of an object compared to the density of water • Specific gravity of water is 1.0
Chem II Quick Lab • Use the accepted density to determine the thickness of aluminum foil. • Compare your data and calculations with other students to concur and determine an average.Write a short lab report in your composition book that includes a data table. • D = m/V • D = m/ LWH • H = m/DWH
Temperature • A measure of the average kinetic energy • Different temperature scales based on the same expansion of mercury. • So why are they different?
Converting Between Celsius and Kelvin K = C + 273.15 C = K - 273.15 0ºC 273K 100 º C 373K
Converting Between Celsius and Fahrenheit 1ºC = 9/5ºF F= 9/5ºC +32 C = 5/9 (ºF – 32) 0ºC 100ºC 212ºF 32ºF