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Density

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What is Density: Density is a physical property of matter, as each element and compound has a unique density associated with it. In a qualitative manner, it is defined as the measure of the relative “heaviness” of objects with a constant volume Density may also refer to how closely “packed” or “crowded” the material appears to be

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**Mathematical Definition:**

The formal definition of density is mass per unit of volume Usually density is expressed in grams per mL or cc CC is cubic centimeter which is equal to a mL Per statement is translated to division Density = mass = g/mL volume

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**Density Examples: Example 1:**

Calculate the density in g/mL of aluminum if a 50 mL block weighs135 g. Solution: Apply the Definition Density = g = 2.70 g/mL 50 mL

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**Manipulate Density Formula:**

Solving for Density: D = M V Solving for Mass: M = V x D Solving for Volume: V = M D

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**Density Examples: Example 2:**

Iron has a density of 7.87 g/cm3 . What is the mass of 250 cm3 of iron? Solution: Apply the Definition 7.87 g/cm3 = _M__ 250 cm3 7.87 g/cm3 x 250 cm3 = g

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Your Turn: 1. A piece of metal has a mass of 45.6 grams and a volume of 110 cm3 . What is its density? 2. Aluminum has a density of 2.70 g/cm3 . What is the mass of a cube of aluminum that measures 9.3 cm on a side? 3. If a block of wood has a density of 0.6g/cm3 and a mass of 120g, what is its volume? 4. If you have a gold brick that is 2cm by 3cm by 4cm and has a density of 19.3g/cm3, what is its mass? Answers: 1.) 41 g/cm3 2.) g 3.) 200 cm ) g

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