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Density Density pg. 33 • Density is the amount of matter in a particular space. • Essentially, density is how tightly packed the particles in a substance are • The closer the molecules are, the more dense the object. Which object has the greater density? Storytime! – by Martha Marie Day and Anthony Carpi Sometime around 250 b.c., the Greek mathematician Archimedes was given the task of determining whether a craftsman had defrauded the King of Syracuse by replacing some of the gold in the King’s crown with silver. Archimedes thought about the problem while relaxing in a bathing pool and had an epiphany. He realized that the amount of water that spilled over the tub when he got in was equal in volume to the space that his body occupied. This fact suddenly provided him with a method for differentiating a mixed silver and gold crown from a pure gold crown. Because a measure of silver occupies more space than an equivalent measure of gold, Archimedes placed the craftsman’s crown and a pure gold crown of equivalent mass in two tubs of water. He found that more water spilled over the sides of the tub when the craftsman’s crown was submerged. It turned out that the craftsman had been defrauding the King! Legend has it that Archimedes was so excited about his discovery that he ran naked through the streets of Sicily shouting “Eureka! Eureka!” (the Greek word for “I have found it!”). Archimedes had used the concept of density to expose the fraud. Density is a physical property of matter that describes the degree of compactness of a substance – in other words, how closely packed together the atoms of an element or molecules of a compound are. Since different substances have different densities, density measurements are a useful means for identifying substances. Density Equation • To find the density of an object divide the mass of the object by the volume. • The units of density are g/cm3 or g/mL. Practice Problems 1. 2. 3. 4. 5. 6. 7. 8. Mass=10g Volume=1mL Mass=400g Volume=10cm3 Volume=9mL Mass=54g Length=2cm Width=4cm Height=5cm Mass=80g Sides of a cube=10cm Mass=50g Mass=50g Volume=25mL Volume=1cc Mass=786g Length=1cm Width=5cm Height=5cm Mass=100g Understanding Density Think about this: Which is heavier, a pound of rocks or a pound of cotton balls? Trick question, right? Both are a pound so they weigh the same! Which one do you think would take up more space though? A pound of rocks or a pound of cotton balls? Density Understanding Density A pound of cotton balls would take up a whole bunch more space than a pound of rocks. That’s because the pound of cotton balls is less dense than the pound of rocks. Density Understanding Density The molecules in the rocks are much closer together and more compact than the molecules in the cotton balls. The rocks have more mass and take up less space than the cotton balls, therefore the rocks are more dense. Density Eureka! Density For just a little more help about the density (and a little review on volume), watch the Eureka! Video (it’s only about 5 minutes). http://www.youtube.com/watch?v=GMNpPgLT8Fk