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Density. m D v. Density. Density – mass per unit volume Density = mass / volume (g/ml or g/cm 3 ) The density of water is 1.0 g/ml or 1.0 g/cm 3. m = mass (unit – g) D = Density (unit g/ml or g/cm 3 ) v = volume (unit – ml or cm 3 ). Density.
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m D v Density • Density – mass per unit volume • Density = mass / volume (g/ml or g/cm3) • The density of water is 1.0 g/ml or 1.0 g/cm3 m = mass (unit – g) D = Density (unit g/ml or g/cm3) v = volume (unit – ml or cm3)
Density • An object that is less dense than the fluid in which it is immersed floats • An object that is denser than the fluid in which it is immersed sinks
Densities of Substances • 0.78 g/cm3 = wood • 0.92 g/cm3 = corn oil • 0.93 g/cm3 = plastic • 1.00 g/cm3 = water • 1.02 g/cm3 = tar • 1.26 g/cm3 = glycerin • 1.34 g/cm3 = rubber • 1.38 g/cm3 = corn syrup • 8.80 g/cm3 = copper • 13.6 g/cm3 = mercury
m D v Practice Problems • A block has a volume of 25 cm3 and a mass of 20 grams. What is the density, and what is the object? • Density = mass / volume • Density = 20 grams / 25 cm3 • Density = 0.8 • Density = 0.8 g/cm3 • Object is wood • 0.78 g/cm3 = wood • 0.92 g/cm3 = corn oil • 1.00 g/cm3 = water • 1.02 g/cm3 = tar
m D v Practice Problems • A piece of copper has a volume of 50 cm3. What is the mass of the piece of copper? • Mass = Density x volume • Density of Copper = 8.80 g/cm3 • Mass = 8.80 g/cm3 x 50 cm3 • Mass = 440 • Mass = 440 g • 1.26 g/cm3 = glycerin • 1.34 g/cm3 = rubber • 1.38 g/cm3 = corn syrup • 8.80 g/cm3 = copper
m D v Practice Problems • A blob of tar has a mass of 30 g – what is the volume of the blob of tar? • Volume = mass / Density • Density of tar = 1.02 g/cm3 • Volume = 30 g / 1.02 g/cm3 • Volume = 30.6 • Volume = 30.6 cm3 • 0.78 g/cm3 = wood • 0.92 g/cm3 = corn oil • 1.00 g/cm3 = water • 1.02 g/cm3 = tar