Chapter 2 Sections 2.5 and 2.8 SI Prefixes Examples: kilo means 1000, centi 100, deci 10, etc. Refer to the “Metric Prefixes” chart in your note packet Derived SI units Combinations of SI base units form derived units derived units are produced by multiplying or dividing standard units Area What is the SI unit for area?? Hint: area = length x width m x m = m2 Volume What is the SI derived unit for volume? Hint: volume = length x width x height m x m x m = m3 volumes of liquids and gases are often measured using liters (L) 1 Liter = 1000 cm3 1 mL = 1 cm3 Density: the ratio of mass to volume (how massive an object is compared with its size) density = mass volume or d= m v What are some units for density? kg/m3, g/cm3, g/mL, g/L Density Examples 1. A sample of aluminum metal has a mass of 8.4 g. The volume of the sample is 3.1 cm3. Calculate the density of aluminum. Solution: d =m/v = 8.4g / 3.1cm3 = 2.7g/cm3 2. Diamond has a density of 3.26 g/ cm3. What is the mass of a diamond that has a volume of 0.350 cm3? Solution: d = m = = = m/v dxv 3.26g/cm3 x 0.350cm3 1.14g 3. What is the volume of a sample of liquid mercury that has a mass of 76.2 g, given that the density of mercury is 13.6 g/mL? Solution: d = v = = m/v m/d 76.2g 13.6g/mL = 5.60mL
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