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Chapter 1. Density. Measuring Volume. The amount of space occupied by an object is called its volume If you want to know the volume of a solid rectangle, such as a brick, you measure its length, width, and, height and multiply the three numbers and their units together ( V = 1 x w x h ).
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Chapter 1 Density
Measuring Volume • The amount of space occupied by an object is called its volume • If you want to know the volume of a solid rectangle, such as a brick, you measure its length, width, and, height and multiply the three numbers and their units together (V = 1 x w x h).
Measuring Volume • For a brick, your measurements probably would be in centimeters. • The volume would then be expressed in cubic centimeters, cm3. • In measuring a liquid’s volume, you are indicating the capacity of the container that holds that amount of liquid. • The most common units for expressing liquid volumes are liters and milliliters.
Measuring Liquid Volume • A liter occupies the same volume as a cubic decimeter, dm3. • A cubic decimeter is a cube that is 1 dm, or 10cm, on each side.
Measuring Matter • Mass is a measurement of the quantity of matter in an object. • Density of a material does not change even if the shape of the object does because it is still the same material. It still has the same “stuff” in it.
Density • The mass and volume of an object can be used to find the density of the material the object is made of. • Density is the mass per unit volume of a material. • You find density by dividing an object’s mass by the object’s volume.
M V M D = D V Derived Units • Combination of base units. • Mass-Base unit: kilograms (kg) Grams (g) and milligrams (mg) are used for measuring objects of small mass. • Volume - length width height 1 cm3 = 1 mL 1 dm3 = 1 L • Density - mass per unit volume (g/cm3)
M D V Density • An object has a volume of 825 cm3 and a density of 13.6 g/cm3. Find its mass. GIVEN: V = 825 cm3 D = 13.6 g/cm3 M = ? WORK: M = DV M = (13.6 g/cm3)(825cm3) M = 11,220 g
WORK: V = M D V = 25 g 0.87 g/mL M D V Density 1) A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid? GIVEN: D = 0.87 g/mL V = ? M = 25 g V = 28.7 mL
WORK: D = M V D = 620 g 753 cm3 M D V Density 2) You have a sample with a mass of 620 g & a volume of 753 cm3. Find density. GIVEN: M = 620 g V = 753 cm3 D = ? D = 0.82 g/cm3
Liquid Layers • Look at the picture of a variety of liquids. Which layer has the highest density? • Which layer has the lowest density? • Imagine that the liquids have the following densities: • 10g/cm3. 3g/cm3. • 6g/cm3. 5g/cm3. • Which number would go with which layer?