1)      A diamond is a pure sample of the element carbon.  The tabulated density of diamond is 3.51 g/cm³.  Jewelers use a unit called a carat to descried the mass of diamond: 1 carat = 0.200 g.  What is the volume of the stone in a 2.00 carat diamond engagement ring?

2)      A farmer owns a rectangular field that fronts along a road.  State highway engineers surveyed the frontage and found it measures 138.3 meters in length.  The farmer, who wants to build a fence around the field, paces off the field’s width and estimates it to be 52 meters.  How many meters of fence will the farmer have to build?  What mass of fertilizer will the farmer need to fertilize the field with 0.0050 kg of fertilizer per square meter of field?

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 on meters of a 5.00 pound spool of 16-guage copper wire.  The density of copper is 8.92 g/cm³.

4)      The solder used by plumbers to fasten copper pipes consists of 67 % lead and 33 % tin.  If you have a 1.0 pound (454 g) block of solder, how many grams of lead do you have?  Grams of tin?

5)      You are fortunate to own a ring made of white gold, which actually consists of 60.% gold and 40.% platinum.  If your ring has a mass of 6.89 g, how many grams of platinum do you have?  How many grams of gold?

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?

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?

8)      Battery plates in lead storage batteries (the type used in automobiles) are made from a mixture of two chemical elements: lead (94.0%) and antimony (6.0%).  If you have a battery plate with a mass of 25.0 g, how many grams of lead and how many grams of antimony are present?