HW Density Wednesday, October 20, 2010 9:06 AM 3. The diameter of metal wire is given by its wire guage number. For example, 16-guage wire has a diameter of 0.0508 inch. Calculate the length in meters of a 5.00 pound spool of 16-guage copper wire. The density of copper is 8.92 g/cm3. #3: 16-gauge wire diameter = 0.0508 inches Density = 8.92 g/cm3 = 8.92 g 1 cm3 Mass wire = 5.00 lbs. WANT: length of wire in meters 1. A diamond is a pure sample of the element carbon. The tabulated density of diamond is 3.51 g/cm 3. Jewelers use a unit called a carat to describe the mass of diamond: 1 carat = 0.200 g. What is the volume of the stone in a 2.00 carat diamond engagement ring? GIVENS: Density = 3.51 g/cm3 = 3.51 g 1 cm3 WANT: volume of diamond? 1 carat = 0.200 g Mass diamond = 2.00 carat 6. At 25 oC the density of water is 0.997 g/cm3, whereas the density of ice is 0.917 g/cm3. (a) If a soft drink can (volume = 250. mL) is filled completely with pure water and then frozen at –10 oC, what volume will the solid occupy? (b) Could the ice be contained within the can? HW - 10-19-10 Page 1 will the solid occupy? (b) Could the ice be contained within the can? HW - 10-19-10 Page 2 7. Amethyst is a colored form of the mineral quartz in which the color purple comes from traces of the element Manganese. (a) To determine the density of amethyst, you take a stone having a mass of 15.25 g and place it in a 100. mL graduate cylinder containing 45.0 mL of water. On adding the stone, the water surface rises to the 50.8 mL mark. What is the density of amethyst? (b) If you have a piece of amethyst that is 1.8cm x 0.95 cm, how thick does it have to be to have a mass of 6.50 g? 13. A piece of metal weighing 20.32 grams is added to a flask with a volume of 24.5 cm3. It is found that 18.52 g of water (density = 1.00 g/mL) must be added to the metal to fill the flask. What is the density of the metal? HW - 10-19-10 Page 3 14. A solid with an irregular shape weighing 13.56 grams is added to a flask with a volume of 20.35 mL. It is found that 10.35 grams of benzene (density = 0.879 g/cm3) must be added to the metal to fill the flask. What is the density of the metal? HW - 10-19-10 Page 4 16. Blood plasma volume for adults is about 3.1 L. Its density is 1.020 g/cm3. How many pounds of blood plasma are there in your body, if you assume the volume is correct for you? HW - 10-19-10 Page 5 HW - 10-19-10 Page 6