Density NOTES
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Density NOTES

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Density NOTES Density NOTES Presentation Transcript

  • DENSITY
  • Warm-up:Why is it easier for your body to float in theocean rather than in your swimmingpool?
  • DENSITY:• Intensive property – it does not depend onthe amount of matter.• Units are g/mL or g/cm3• Density is constant for all sample sizes of agiven substance.
  • Osmium is a very dense metal. What is itsdensity in g/cm3 if 50.00 g of the metal occupiesa volume of 2.22cm3?1) 2.25 g/cm32) 22.5 g/cm33) 111 g/cm3Practice Problem #1
  • 2) Placing the mass and volume of the osmium metalinto the density setup, we obtainD = mass = 50.00 g =volume 2.22 cm3= 22.522522 g/cm3 = 22.5 g/cm3SOLUTION
  • Practice Problem #2:1. Calculate the density of a piece of leadmetal that has a mass of 125.2 g and avolume of 11.0 mL.
  • Problem A piece of copper has a mass of57.54 g. It is 9.36 cm long, 7.23 cm wide, and0.95 mm thick. Calculate density (g/cm3).Density mass (g)volume (cm3)
  • Strategy1. Get dimensions in common units.2. Calculate volume in cubiccentimeters.3. Calculate the density.
  • SOLUTION1. Get dimensions in common units.2. Calculate volume in cubic centimeters.3. Calculate the density.0.95 mm •1cm10 mm= 0.095 cm57.54 g6.4 cm3= 9.0 g/ cm3(9.36 cm)(7.23 cm)(0.095 cm) = 6.4 cm3Note only 2 significant figures in the answer!
  • Percent ErrorMeasures how accurate the experimental data is.(experimental value) − (true value)% error = × 100true value
  • Example:• A metal block has a true value of 1.70 g/cm3.A student measures the density of the block tobe 1.85 g/cm3. Calculate the percent error forthis measurement.
  • Example• A student measured the density of water threetimes and obtained the following results:Trial 1: 0.996 g/mLTrial 2: 1.03 g/mLTrial 3: 0.964 g/mLWater has a density of 1.00 g/mL.A. Calculate the student’s percent error for eachtrial.B. Which trial had the greatest percent error?
  • PROBLEM: Mercury (Hg) has a density of13.6 g/cm3. What is the mass of 95 mL ofHg in grams? In pounds?
  • PROBLEM: Mercury (Hg) has a density of 13.6 g/cm3.What is the mass of 95 mL of Hg?Strategy1. Use density to calc. mass (g) from volume.2. Convert mass (g) to mass (lb)Need to know conversion factor= 454 g / 1 lbFirst, note that 1 cm3 = 1 mL
  • PROBLEM: Mercury (Hg) has a density of 13.6 g/cm3.What is the mass of 95 mL of Hg?1. Convert volume to mass95 cm3 •13.6 gcm3= 1.3 x 103 g1.3 x 103 g •1 lb454 g= 2.8 lb2. Convert mass (g) to mass (lb)
  • A solid displaces a matching volume of waterwhen the solid is placed in water.33 mL25 mLVolume Displacement
  • What is the density (g/cm3) of 48 g of a metal ifthe metal raises the level of water in a graduatedcylinder from 25 mL to 33 mL?1) 0.2 g/ cm3 2) 6 g/m3 3) 252 g/cm333 mL25 mLLearning Check
  • Which diagram represents the liquid layersin the cylinder?(K) Karo syrup (1.4 g/mL), (V) vegetable oil(0.91 g/mL,) (W) water (1.0 g/mL)1) 2) 3)KWWVVKWVKLearning Check
  • If blood has a density of 1.05 g/mL, how manyliters of blood are donated if 575 g of blood aregiven?1) 0.548 L2) 1.25 L3) 1.83 LLearning Check
  • The density of octane, a componentof gasoline, is 0.702 g/mL. What isthe mass, in kg, of 875 mL of octane?1) 0.614 kg2) 614 kg3) 1.25 kgLearning Check
  • If blood has a density of 1.05 g/mL, how manyliters of blood are donated if 575 g of blood aregiven?1) 0.548 L2) 1.25 L3) 1.83 LLearning Check
  • A group of students collected 125 emptyaluminum cans to take to the recycling center. If21 cans make 1.0 pound of aluminum, howmany liters of aluminum (D=2.70 g/cm3) areobtained from the cans?1) 1.0 L 2) 2.0 L 3) 4.0 LLearning Check