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Dimensional analysis and Units of Measurements. Dimensional analysis Dimensional analysis uses conversion factors to convert from one unit to another.

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Presentation on theme: "Dimensional analysis and Units of Measurements. Dimensional analysis Dimensional analysis uses conversion factors to convert from one unit to another."— Presentation transcript:

1 Dimensional analysis and Units of Measurements

2 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?

3 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?

4 Units of Measurement Meter m Liter L Celsius C

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

6 SI Units PrefixSymbolScientific notationExample TeraT1 x 10 -12 Terasecond (Ts)1 s = 1 x 10 -12 Ts MegaM1 x 10 -6 megajoule (MJ)1 J = 1 x 10 -6 MJ Kilok1 x 10 -3 kilometer (km)1 m = 1 x 10 -3 km HectoH or h1 x 10 -2 hectoliter (hL)1 L = 1 x 10 -2 hL Dekada or D1 x 10 -1 dekagram (Dg)1 g = 1 x 10 -1 Dg BASE UNIT1 x 10 0 Look at base unitsSee chart below Decid1 x 10 1 decimole (dmol)1mol = 1 x 10 1 dmol Centic1 x 10 2 centimeter (cm)1 m = 1 x 10 2 cm Millim1 x 10 3 millimole (mmol)1 mol = 1 x 10 3 mmol Microu1 x 10 6 microgram (ug)1 g = 1 x 10 6 ug Nanon1 x 10 9 nanosecond (ns)1 s = 1 x 10 9 ns Picop1 x 10 12 picojoule (pJ)1 J = 1 x 10 12 pJ Attoa1 x 10 18 attoliter (aL)1 L = 1 x 10 18 aL

7 Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter

8 Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter

9 Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter

10 Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter

11 Practice In each pair below, circle the larger MillimeterCentimeter picometerMicrometer kilogramHectogram decilitermillileter

12 Basic SI Units QuantityBase unit Lengthmeter (m) Massgram (g) Timesecond (s) VolumeLiter (L) TemperatureKelvin (K) or Celsius (C) Amount of substancemole (mol) Heat & Energyjoule (J)

13 Metric Conversions Practice Ex. 3) 2.435 g __________________cg Ex. 4) 23.8 mL = ________________kL Ex. 5) 23.5 cs = ________________ns

14 Some Useful Conversions Length: 1 in = 2.54 cm 1 mi = 5280 ft Volume: 1 cm 3 = 1 mL 1 L = 1.06 qt Weight: 1 kg = 2.2 lb 16 oz = 1 lb 1 ton = 2000 lb

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

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

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

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


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