Displacement and Density What will happen if you step into a bathtub that is filled to the brim?
What will happen if you fill a glass to the brim with root beer and then add a scoop of ice cream?
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Example Geologist Crystal Stone wishes to calculate the volume of an irregularly shaped rock. She places it into a rectangular prism containing water. The base of the container measures 10 cm by 15 cm. When the rock is put into the container Crystal notices that the water rises 2 cm. What is the volume of the rock?
March 04, 2016
Displacement As you may have guessed in the previous scenarios you'll have a mess!! The volume that overflows in each of these situations equals the volume of the solid below the liquid level. This volume is called an object's displacement. You can determine the volume of an irregularly shaped object by measuring its displacement.
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The rock displaces its volume of water.
Finding the "new" slice of water will give us the volume of the rock.
What is the volume of the rock?
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Density An important property of a material is its density. Density is the mass of matter in a given volume. Density is calculated be dividing the mass in grams by the volume in cubic centimeters. density = mass volume
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A chemist wishing to identify an unknown clump of metal could weigh the clump to determine its mass, determine its volume by displacement, calculate its density, and finally, look in a chemical handbook in hopes of identifying the compound by its density.
copper
lead
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Density and Displacement.notebook
March 04, 2016
The most common chemicals are listed in the table below. You will not need to memorize or write down this information it will be provided for you.
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Example Answer
Example A clump of metal weighing 351.4 g is dropped into a cylindrical container, causing the water level to rise 1.1 cm. The radius of the base is 3.0 cm. What is the density of the metal? What is the metal?
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A clump of metal weighing 351.4 g is dropped into a cylindrical container, causing the water level to rise 1.1 cm. The radius of the base is 3.0 cm. What is the density of the metal? What is the metal? Volume = π (3.0) 2 (1.1) = π (9)(1.1)
Density ≈ 351.4 31.1 ≈ 11.3g/cm
3
≈ 31.1 The density is 11.3 g/cm3 . Therefore the metal is lead.
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Precision and accuracy. Density. Mass and volume. Significant figures. Water displacement. Experimental error. Background: Experimental observations often include measurements of mass, length, volume, temperature, and time. There are tree parts of an
Measure the mass of one of the small irregular solids with a triple beam balance. Fill a 100-mL graduated cylinder with enough water to completely submerge the solid. Record this volume of water as âVolume Beforeâ. Hold the cylinder at an angle a
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