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A CTIVIT Y   3.3  Determining Specific Gravity (SG)


          Name: ______________________________________   Course/Section: ______________________   Date: ___________


           A.   Imagine that you want to buy a box of breakfast cereal and get the most cereal for your money. You have narrowed your
            search to two brands of cereal that are sold in boxes of the exact same size and price. The boxes are made of opaque cardboard
            and have no labeling of weight. Without opening them, how can you tell which box contains the most cereal?





           B.   Like the cereal boxes above, equal-sized samples of different minerals often have different weights. If you hold a mineral


            sample in one hand and an equal-sized sample of a different mineral in the other hand, then it is possible to act like a human
            balance and detect that one may be heavier than the other. This is called  hefting , and it is used to estimate the relative
            densities of two objects. Heft the three mineral samples provided to you, then write sample numbers/letters on the lines below
            to indicate the sample densities from least dense to most dense.
                      (Least dense) ______________  _______________  _______________  (Most dense)



           C.   In more exact terms,  density  is a measure of an object’s mass (weighed in grams, g)
                                                                      3
            divided by its volume (how much space it takes up in cubic centimeters, cm  ).
            Scientists use the Greek character rho (ρ) to represent density, which is always
                         3
            expressed in g/cm  . What is the density of a box of cereal that is 20 cm by
            25 cm by 5 cm and weighs 0.453 kg? Show your work.
           D.   Mineralogists compare the relative densities of minerals according to their  specific gravity (SG) : the ratio of the density of


                                                                       3
            a mineral divided by the density of water. Since water has a density of 1 g/cm  , and the units cancel out, specific gravity is
                                                                                       3
            the same number as density but without any units. For example, the density of quartz is 2.6 g/cm  , so the specific gravity of
            quartz is 2.6.
            Return to the three mineral samples that you hefted above, and do the following:

            1.   First (while they are still dry), determine and record the mass (weight) of each sample
              in grams.

            2.   Use the water displacement method to measure and record the volume of each sample


              ( FIGURE  3.15 ). Recall that one fluid milliliter (mL or ml on the graduated cylinder)   SG OF SOME MINERALS

              equals one cubic centimeter.
            3.   Calculate the specific gravity of each sample.                           2.1    Sulfur


            4.   Identify each sample based on the list of specific gravities of some common minerals.
                                                                                         2.6–2.7  Quartz
                                                                                         3.0–3.3  Fluorite
             Sample    Mass in     Volume in     Specific         Mineral Name
                       Grams (g)   Cubic cm      Gravity
                                       3
                                    (cm )         (SG)                                   3.5–4.3  Garnet
                                                                                         4.4–4.6  Barite
                                                                                         4.9–5.2  Pyrite
                                                                                         7.4–7.6  Galena
                                                                                         8.8–9.0  Native copper
                                                                                          10.5   Native silver
                                                                                          19.3   Native gold



               D.       REFLECT & DISCUSS   Were your data and calculations accurate enough to be useful in identifying the samples? If not,
            how could they be made more accurate?









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