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Measuring Volume & Density By: Brianna Shields September 14, 2005

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DO NOW 1. Name the unit used to label mass 2. What is the first step for using a triple beam balance? 3. What tool is used to measure length?

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Volume of a liquid Definition The amount of space a liquid takes up

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Volume of a liquid Tool Graduated Cylinder

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Volume of a liquid Units Milliliters (ml)

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Volume of a liquid Formula Read the volume level from the bottom of the meniscus

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Volume of an irregular solid Definition The amount of space a solid takes up

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Volume of an irregular solid Tool Graduated cylinder

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Volume of an irregular solid Units Milliliter (ml)

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Volume of an irregular solid Formula Measure the difference in water levels

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Volume of a cube Definition The amount of space a cube takes up

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Volume of a cube Tool Metric Ruler

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Volume of a cube Units Centimeters cubed (cm 3 )

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Volume of a cube Formula Volume = length x width x height

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Example What is the volume of the liquid at left?

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Example What is the volume of the liquid at left?

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What is the volume of the object ?

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Example What is the volume of the cube at left?

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Density Definition The number of particles that can be packed into a space

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Density Tool Graduated cylinder or metric ruler AND triple beam balance

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Density Units G.C. = g/ml Ruler = g/cm 3

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Density Formula Density = mass divided by volume D =m/v

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Density How to calculate density 1. Find the mass in g 2. Find the volume in ml or cm 3 3. Divide the mass by the volume 4. Round to the nearest tenth 5. Label answer with correct units

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Density of Water Water’s Density 1.0 g/ml

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Density Sink or Float? When d > 1.0 g/ml = sink When d< 1.0 g/ml = float

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Density Estimating Density of sinking object is simply > 1.0 Density of floating object = % of object below water level

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Density Cutting an object Density of a pure substance is always the same regardless of size

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Example What is the density of the object to the left if m=79.4 g, v= 29.8 cm 3?

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Example Which of the objects would sink? Float? Explain Densities of Common Elements and Compounds Water = 1.0 g/ml Methanol=.79 g/ml Gold 19.30 g/ml Air=.0013 g/ml Iron= 7.8 g/ml Ice=.93 g/ml Mercury= 13.5 g/ml Aluminum= 2.7 g/ml Ethanol=.94 g/ml Oak= 0.85 g/ml

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Example How would these materials layer in a container? Densities of Common Elements and Compounds Water = 1.0 g/ml Methanol=.79 g/ml Gold 19.30 g/ml Air=.0013 g/ml Iron= 7.8 g/ml Ice=.93 g/ml Mercury= 13.5 g/ml Aluminum= 2.7 g/ml Ethanol=.94 g/ml Oak= 0.85 g/ml

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Example Estimate the density of the material at the left

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Example Estimate the density of the material at the left

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Example Estimate the density of the material at the left

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Example This block has a density of 10.0 g/cm 3. What is the density of the block at the left if it is cut in half?

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Practice Work with your lab partner Complete the volume and density practice questions in your handout We will go over the correct answers next class

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Hands On: Volume ObjectToolWorkAnswer 1. MarbleGraduated Cylinder

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Hands On: Volume ObjectToolWorkAnswer 2. ToyGraduated Cylinder

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Hands On: Volume ObjectToolWorkAnswer 3. Block 1RulerV = lxwxh

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Hands On: Volume ObjectToolWorkAnswer 4. Block 2RulerV = lxwxh

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Hands On: Volume ObjectToolWorkAnswer 5. Mystery Liquid Graduated cyclinder

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Hands On: Density Object 1 Mass Volume

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Hands On: Density Object 1 Density Answer Sink or Float

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Hands On: Density Object 2 Mass Volume

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Hands On: Density Object 2 Density Answer Sink or Float

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Practice: Volume and Density 1a. What is the volume of liquid in the graduated cylinder on the right? 1a. V= 1b. If an object is placed into the same graduated cylinder and the water level rises up to 25 ml, what is the volume of the object? 1b. V=

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Practice: Volume and Density 2. Calculate the volume of the cube 2. V= 3. The following measurements are taken of a wood block. Length =2.3cm, width = 6.0 cm, height = 4.2 cm. What is the cube’s volume? 3. V=

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Practice: Volume and Density 4. Place the objects where they belong when placed into a container of water 4.

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Practice: Volume and Density 5. If a bar of soap has a mass of 57.0 grams and a volume of 112 cm 3, what is its density? Label your answer. Will it sink or float in water? 5.

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