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Measurement and the Factor Label Method. Chem 140. SI base units. SI ( Système Internationale d’Unites ) adopted in 1960 Contains 7 base units: length: meter (m) mass: kilogram (kg) time: second (s) electrical current: ampere (A) temperature: kelvin (K) amount of substance: mole (mol)
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SI base units • SI (Système Internationale d’Unites) adopted in 1960 • Contains 7 base units: • length: meter (m) • mass: kilogram (kg) • time: second (s) • electrical current: ampere (A) • temperature: kelvin (K) • amount of substance: mole (mol) • Luminous intensity: candela (Cd)
50 40 60 70 80 90 20 30 10 …in 1 second Derived units: speed 1 meter… 1 m s-1 speed (velocity)
Derived units: acceleration 0 speedometer m s-1 Start
Derived units: acceleration 1 meter per second per second 1 m s-2 1 0 speedometer m s-1 After 1 second
…to 20 m/s… 50 m/s… change in speed –30 m 1 = time s 5 s – 6 m = s2 Acceleration …in 5 s acceleration =
Other derived units • Force (newton, N): kg m s-2 • Work, energy (joule, J): kg m2 s-2 • Power (watt, W): kg m2 s-3 • Pressure (pascal, Pa): kg m-1 s-2 • Volume: m3 • Density: kg m-3
Metric to English (Without Too Much Memorizing) 1 inch = 2.54 cm 1 gallon (US) = 231 in3 1 lb. = 453.59237 g °C = (°F – 32) x 5/9 °F = (°C x 9/5) + 32 You can figure out many other conversions from these basic (exact) ones
Factor-label method (on board) Convert 65 mph to m s-1, using the information on the previous slide, and english-to-english conversions. A car gets 35 mpg fuel mileage. What’s this in km/L? 0.0004325 cubic meters to cm3
Volume • What is the volume of a cube 0.1 m (1 dm) on a side, in m3? 0.001 m3 Also called a “liter” (L)
Volume • What is the length of each side of a cube with a volume of 1 mL? 0.001 L = 0.000 001 m3 = (0.01)3 m3 = 0.01 m (1 cm) on a side
50 40 60 70 80 90 20 30 10 Length and Volume 1 m3 = 1 kL 1 dm3 = 1 L 1 cm3 = 1 mL 1 kg of water 1 g of water 1 Mg of water