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Understanding Units of Measurement: SI Units and Density Calculations

Learn about SI units: length (m), mass (kg), time (s), temperature (K), amount (mol), and prefixes (kilo, mega, milli). Explore density calculations with step-by-step examples. Understand how to calculate mass, volume, and density.

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Understanding Units of Measurement: SI Units and Density Calculations

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  1. CH. 1.2 - MEASUREMENT II. Units of Measurement (p. 12)

  2. A. Number vs. Quantity • Quantity - number + unit UNITS MATTER!!

  3. B. SI Units Quantity Symbol Base Unit Abbrev. Length l meter m Mass m kilogram kg Time t second s Temp T kelvin K Amount n mole mol

  4. mega- kilo- k M 106 103 BASE UNIT deci- --- d 100 10-1 centi- c 10-2 milli- m 10-3 micro-  10-6 nano- n 10-9 pico- p 10-12 B. SI Units Prefix Symbol Factor

  5. M V D = C. Derived Units • Combination of base units. • Volume (m3 or cm3) • length  length  length 1 cm3 = 1 mL 1 dm3 = 1 L • Density (kg/m3 or g/cm3) • mass per volume

  6. D. Density Mass (g) Volume (cm3)

  7. Problem-Solving Steps 1. Analyze 2. Plan 3. Compute 4. Evaluate

  8. D. Density • An object has a volume of 825 cm3 and a density of 13.6 g/cm3. Find its mass. GIVEN: V = 825 cm3 D = 13.6 g/cm3 M = ? WORK: M = DV M = (13.6 g/cm3)(825cm3) M = 11,200 g

  9. WORK: V = M D V = 25 g 0.87 g/mL D. Density • A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid? GIVEN: D = 0.87 g/mL V = ? M = 25 g V = 29 mL

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