dimensional analysis and units of measurements. dimensional analysis dimensional analysis uses...
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Dimensional analysisand 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 salads9 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 MeasurementMeter m
Liter L
Celsius C
Mass is the amount of matter, weight is a measure of the gravitational pull on matter
SI UnitsPrefix Symbol Scientific
notationExample
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 (hL) 1 L = 1 x 10-2 hL
Deka da or D 1 x 10-1 dekagram (Dg) 1 g = 1 x 10-1 Dg
BASE UNIT 1 x 100 Look at base units See chart below
Deci d 1 x 101 decimole (dmol) 1mol = 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 (pJ) 1 J = 1 x 1012 pJ
Atto a 1 x 1018 attoliter (aL) 1 L = 1 x 1018 aL
PracticeIn each pair below, circle the larger
Millimeter Centimeter
picometer Micrometer
kilogram Hectogram
deciliter millileter
PracticeIn each pair below, circle the larger
Millimeter Centimeter
picometer Micrometer
kilogram Hectogram
deciliter millileter
PracticeIn each pair below, circle the larger
Millimeter Centimeter
picometer Micrometer
kilogram Hectogram
deciliter millileter
PracticeIn each pair below, circle the larger
Millimeter Centimeter
picometer Micrometer
kilogram Hectogram
deciliter millileter
PracticeIn each pair below, circle the larger
Millimeter Centimeter
picometer Micrometer
kilogram Hectogram
deciliter millileter
Basic SI UnitsQuantity Base unit
Length meter (m)
Mass gram (g)
Time second (s)
Volume Liter (L)
Temperature Kelvin (K) or Celsius (C)
Amount of substance mole (mol)
Heat & Energy joule (J)
Metric Conversions Practice
Ex. 3) 2.435 g __________________cg
Ex. 4) 23.8 mL = ________________kL
Ex. 5) 23.5 cs = ________________ns
Some Useful Conversions
Length:1 in = 2.54 cm1 mi = 5280 ft
Volume:1 cm3 = 1 mL1 L = 1.06 qt
Weight:1 kg = 2.2 lb16 oz = 1 lb1 ton = 2000 lb
Temperature
• 20°C = K
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
Temperature
• 20°C = 293 K
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
Temperature
• 20°C = 293 K• 373 K = °C
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius
Temperature
• 20°C = 293 K• 373 K = 100 °C
Use both the Kelvin and Celsius scale, to convert
Celsius + 273 = Kelvin
Kelvin -273 = Celsius