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Density a physical property of matter

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Property = a characteristic that gives a substance identity Properties of Vinegar: - clear liquid - strong odor - reacts with baking soda - acidic

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Physical Properties can be observed without changing the composition of the substance Examples; -Color -Texture -Shape -Hardness -Buoyancy -Viscosity -Miscibility -Density

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DENSITY StyrofoamBrick Brick is more dense than Styrofoam because there is more mass packed into the same volume (more molecules or atoms in the same space.)

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Density Density can be defined as unit mass per unit volume Density = Mass / Volume D = m / v

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Example: Density Density is a property of matter. If you measure the mass and the volume of an object, you can calculate its density using the formula: (g) (mL) D = m/v Density = mass/volume So, the units of density must be…. g/mL

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The Units for density come from this formula… Why is density measured in g/mL? Because the formula for density is (akagrams per milliliter) (notgee slash em-ell) m mass (in grams) g D = ----- = ------------ -------------- ---- v volume (in milliliters) mL

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Measurement

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Metric System ssecondTime K or o C Kelvin or degree celsius Temperature LliterVolume ggramMass mmeterLength Unit Symbol UnitQuantity

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Volume is special because: Volume can be measured in liters (L), milliliters (mL), etc. s or…

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OR… Volume can be measured in cubic meters (m 3 ) centimeters (cm 3 ), …..etc. Remember; 1 cm 3 = 1 mL 1 cm 3 = 1 mL

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Remember this geometry? Volume of a cube is …. l x w x h i.e. 4cm x 5cm x 2cm = 40 cm 3 i.e. x (5cm) 2 x 10cm = 250 cm 3 Volume of a cylinder is …. r 2 h

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Determining the Volume of an Irregularly Shaped Solid 22 mL 32 mL

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Units of Density: –Mass is measured in g. –Volume is measured in mL or cm 3. –Density is mass / volume, (g) / (mL) (g) / (cm 3 ),so.. density is measured in: g/mL or g/cm 3 1 cm 3 = 1 mL 1 cm 3 = 1 mL

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DENSITY - an important and useful physical property 13.6 g/cm 3 21.5 g/cm 3 Aluminum 2.7 g/cm 3 Platinum Mercury

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Density of Gold: 19.30 g/mL Silver: 10.50 g/mL Aluminum: 2.70 g/mL Atoms of some elements are more dense than others.

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SubstanceDensity (g/mL) Air0.0013g/mL Wood (Oak)0.80 g/mL Steel 7.80 g/mL Water 1.00 g/mL

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Sample Problem What is the density of 5.0 g of tin that has a volume of 1.2 mL? D = m / v = 4.2 g/mL D = ? m = 5.0 g v = 1.2 mL

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Steps for Solving Problems 1.Write the shopping list: the unknown variable. (whats the question asking for?) all of the known variables. 2.Write the formula you will be using. 3. Calculate the final answer and include the units.

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Sample Problem What is the density of 45.0 g of a liquid that has a volume of 62.5 mL? D = m / v = g/mL D = ? m = 45.0 g v = 62.5 mL

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Variations of the Density Formula: D = m/v v = m/D m = v D Dv m

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Sample Problem What is the volume of 21.0 g of tin? (Density of Tin = 4.2 g/mL) v = ? D = 4.2 g/mL m = 21.0 g v = m / D v = 5 mL

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Sample Problem What is the mass of 20 cm 3 of tin? (Density of Tin = 4.2 g/mL) m = ? D = 4.2 g/mL v = 20 cm 3 m = v D m = 84 g = 4.2 g/cm 3 = 20 mL

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Review: 3 methods of measuring volume: directly using glassware geometry (e.g. l w h ) water displacement (v f – v i )

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Variations of the Density Formula: D = m/v v = m/D m = v D

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1. Write the unknown variable. 2. Write all the known variables. 3. Convert all variables to similar units. 4. Write formula you will be using. 5. Calculate: Plug and Chug 6. Circle your final answer with correct units.

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