Dimensional analysis and Units of Measurements Dimensional analysis

Dimensional analysis and Units of Measurements

Dimensional analysis • Dimensional analysis uses conversion factors to convert from one unit to another. • Also called Factor Label (and railroad tracks) • You do this in your head all the time – How many quarters are in 4 dollars?

Dimensional analysis practice 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?

Meter Units of Measurement m Liter L Celsius C

Mass is the amount of matter, weight is a measure of the gravitational pull on matter

SI Units Prefix Symbol Scientific notation Tera T 1 x 10 -12 Terasecond (Ts) 1 s = 1 x 10 -12 Ts Mega M 1 x 10 -6 megajoule (MJ) 1 J = 1 x 10 -6 MJ Kilo k 1 x 10 -3 kilometer (km) 1 m = 1 x 10 -3 km Hecto H or h 1 x 10 -2 hectoliter (h. L) 1 L = 1 x 10 -2 h. L Deka da or D 1 x 10 -1 dekagram (Dg) 1 g = 1 x 10 -1 Dg 1 x 100 Look at base units See chart below BASE UNIT Example Deci d 1 x 101 decimole (dmol) 1 mol = 1 x 101 dmol Centi c 1 x 102 centimeter (cm) 1 m = 1 x 102 cm Milli m 1 x 103 millimole (mmol) 1 mol = 1 x 103 mmol Micro u 1 x 106 microgram (ug) 1 g = 1 x 106 ug Nano n 1 x 109 nanosecond (ns) 1 s = 1 x 109 ns Pico p 1 x 1012 picojoule (p. J) 1 J = 1 x 1012 p. J Atto a 1 x 1018 attoliter (a. L) 1 L = 1 x 1018 a. L

Practice In each pair below, circle the larger Millimeter Centimeter picometer Micrometer kilogram Hectogram deciliter millileter

Practice In each pair below, circle the larger Millimeter Centimeter picometer Micrometer kilogram Hectogram deciliter millileter

Practice In each pair below, circle the larger Millimeter Centimeter picometer Micrometer kilogram Hectogram deciliter millileter

Practice In each pair below, circle the larger Millimeter Centimeter picometer Micrometer kilogram Hectogram deciliter millileter

Practice In each pair below, circle the larger Millimeter Centimeter picometer Micrometer kilogram Hectogram deciliter millileter

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)

Metric Conversions Practice Ex. 3) 2. 435 g _________cg Ex. 4) 23. 8 m. L = ________k. L Ex. 5) 23. 5 cs = ________ns

Some Useful Conversions Length: 1 in = 2. 54 cm 1 mi = 5280 ft Volume: 1 cm 3 = 1 m. L 1 L = 1. 06 qt Weight: 1 kg = 2. 2 lb 16 oz = 1 lb 1 ton = 2000 lb

Temperature Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin -273 = Celsius • 20°C = K

Temperature Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin -273 = Celsius • 20°C = 293 K

Temperature Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin -273 = Celsius • 20°C = 293 • 373 K = K °C

Temperature Use both the Kelvin and Celsius scale, to convert Celsius + 273 = Kelvin -273 = Celsius • 20°C = 293 • 373 K = 100 K °C