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DIMENSIONAL ANALYSIS uses conversion factors to convert from one unit to another. (Factor Label) 3 Big Mac = 7 salads 9 salads = 2 slices of pepperoni pizza 22 slices of pepperoni pizza = 27 Sonic cokes Ex. 1) What number of Big Macs equal 365.4 salads? Ex. 2) How many sonic cokes do you have to drink to equal 11 salads? UNITS OF MEASUREMENT _______________ is the amount of matter, ________________ is a measure of the gravitational pull on matter. United States recognizes 2 systems: 1. Standard system: mile, quart, Fahrenheit 2. Metric system: meter, liter, Celsius (This is the internationally accepted system) SI UNITS Prefix Tera Mega Kilo Hecto Deka BASE UNIT Deci Centi Milli Micro Nano Pico Atto Symbol T M k H or h da or D Scientific notation 1 x 10-12 1 x 10-6 1 x 10-3 1 x 10-2 1 x 10-1 1 x 100 or 1 1 x 101 1 x 102 1 x 103 1 x 106 1 x 109 1 x 1012 1 x 1018 d c m u n p a Practice: In each pair below, circle the larger a. millimeter centimeter b. picometer micrometer c. kilogram hectogram d. deciliter milliliter Some useful conversions Weight: Volume: Length: 1 kg = 2.2 lbs 1 cm3 = 1 mL 1 in = 2.54 cm 1 lb = 16 oz 1 L = 1.06 qt 1 mi = 5280 ft 1 ton = 2000 lbs Example Terasecond (Ts) megajoule (MJ) kilometer (km) hectoliter (hL) dekagram (Dg) Look at base units decimole (dmol) centimeter (cm) millimole (mmol) microgram (ug) nanosecond (ns) picojoule (pJ) attoliter (aL) 1 s = 1 x 10-12 Ts 1 J = 1 x 10-6 MJ 1 m = 1 x 10-3 km 1 L = 1 x 10-2 hL 1 g = 1 x 10-1 Dg See chart below 1mol = 1 x 101 dmol 1 m = 1 x 102 cm 1 mol = 1 x 103 mmol 1 g = 1 x 106 ug 1 s = 1 x 109 ns 1 J = 1 x 1012 pJ 1 L = 1 x 1018 aL Basic SI Units Quantity Length Mass Time Volume Temperature Amount of substance Heat & Energy Base unit meter (m) gram (g) second (s) Liter (L) Kelvin (K) or Celsius (C) mole (mol) joule (J) Ex. 3) 2.435 g __________________cg Ex. 4) 23.8 mL = ________________kL Ex. 5) 23.5 cs = ________________ns Ex. 6) 77.06 ft = ________________um Ex. 7) 17 in3 = ________________ cm3