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Density pdf - Density A Introduction 1 B Calculate d 1 C...

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Density A. Introduction .................................................................................................... 1 B. Calculate d ..................................................................................................... 1 C. Calculate m .................................................................................................... 2 D. Calculate V .................................................................................................... 2 E. Misc problems ................................................................................................ 3 F. More complexity? ........................................................................................... 3 G. Answers ......................................................................................................... 4 A. Introduction Density is the ratio of mass to volume; d = m/V. Because d is such a ratio, it is an intensive property. That is, d is a property of the material, but does not depend on how much you have. [d also depends on conditions, especially temperature and pressure. Effects of these variables are very large for gases, but modest for solids and liquids. We will ignore them here.] The Greek letter ρ (rho) is also used for density. The density equation contains three terms (d, m, V). In general, in density problems you know two of these and want to calculate the third. Most density problems can be solved by careful attention to the units, even if you do not precisely remember the above equation. In fact, this worksheet assumes that you generally understand the use of dimensional analysis as a problem solving tool; see the Dimensional Analysis worksheet if you want some help with that topic. B. Calculate d To calculate d, you need to measure the mass and volume of some amount of the material. Example You have a piece of copper. Its volume is 9.27 mL and its mass is 82.9 g. Calculate the density of copper. m 82.9 g d = =  = 8.94 g/mL V 9.27 mL Note the units of density, g/mL. These units reflect the equation, mass/volume.
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Density Page 2 Problems 1. You measure out 5.00 mL of concentrated nitric acid, HNO 3 . It weighs 7.10 g. What is the density of concentrated nitric acid? [Note. This refers to common lab “concentrated nitric
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