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**How tightly the atoms are packed together in an object**

Density How tightly the atoms are packed together in an object

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**Density At the conclusion of our time together, you should be able to:**

Define density Calculate the density of a given object if given the volume and mass Calculate the volume or mass if the density is given with the volume or mass

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**Density Density = mass volume Mass = the amount of matter in an object**

Volume = the amount of space the object takes up Units = g/mL (liquid) OR g/cm3 (solid)

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**DENSITY - an important and useful (qualitative) intensive physical property**

Aluminum Platinum Mercury 13.6 g/cm3 21.5 g/cm3 2.7 g/cm3

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Density Calculations M D V Cover up whatever unit you are solving for, the two units remaining will show you how to solve the problem.

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**Density Calculations Regularly Shaped Solid : mass = balance**

volume = measure (l x w x h) Irregularly Shaped Solid: volume = water displacement

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**Density Calculations Liquid: volume = read graduated cylinder**

mass = tare graduated cylinder, mass liquid

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**Problem A piece of copper has a mass of 57. 54 g. It is 9**

Problem A piece of copper has a mass of g. It is 9.36 cm long, 7.23 cm wide, and 0.95 mm thick. Calculate density (g/cm3). M D V

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Strategy 1. Get dimensions in common units. 2. Calculate volume in cubic centimeters. 3. Calculate the density.

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**1. Get dimensions in common units.**

SOLUTION 1. Get dimensions in common units. 2. Calculate volume in cubic centimeters. 3. Calculate the density. (9.36 cm)(7.23 cm)(0.095 cm) = 6.4 cm3 Note only 2 significant figures in the answer!

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**DENSITY Density is a (qualitative) intensive property of matter.**

does NOT depend on quantity of matter. like temperature Contrast with (quantitative) extensive property depends on quantity of matter. like mass and volume. Styrofoam Brick

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**PROBLEM: Mercury (Hg) has a density of 13. 6 g/cm3**

PROBLEM: Mercury (Hg) has a density of 13.6 g/cm3. What is the mass of 95 mL of Hg in grams? In pounds?

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**Strategy First, note that 1 cm3 = 1 mL**

1. Use density to calculate mass (g) from volume. 2. Convert mass (g) to mass (lb) Need to know conversion factor = 454 g / 1 lb

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Strategy 1. Convert volume to mass 2. Convert mass (g) to mass (lb)

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**Learning Check Osmium is a very dense metal. What is its**

density in g/cm3 if g of the metal occupies a volume of 2.22 cm3? 1) g/cm3 2) 22.5 g/cm3 3) 111 g/cm3

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Solution 2) Placing the mass and volume of the osmium metal into the density setup, we obtain D = mass = g = volume 2.22 cm3 = g/cm3 = g/cm3

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**Learning Check Osmium is a very dense metal. What is its**

density in g/cm3 if g of the metal occupies a volume of 2.22 cm3? 1) g/cm3 2) 22.5 g/cm3 3) 111 g/cm3

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**Volume Displacement 25 mL**

A solid displaces a matching volume of water when the solid is placed in water. 33 mL 25 mL

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Learning Check What is the density (g/cm3) of 48 g of a metal if the metal raises the level of water in a graduated cylinder from 25 mL to 33 mL? 1) 0.2 g/ cm ) 6 g/m ) g/cm3 33 mL 25 mL

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**Density Let’s see if you can:**

Define density Calculate the density of a given object if given the volume and mass Calculate the volume or mass if the density is given with the volume or mass

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Learning Check Which diagram represents the liquid layers in the cylinder? (K) Karo syrup (1.4 g/mL), (V) vegetable oil (0.91 g/mL,) (W) water (1.0 g/mL) 1) ) ) K V W V W K W V K

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Learning Check The density of octane, a component of gasoline, is g/mL. What is the mass, in kg, of 875 mL of octane? 1) kg 2) 614 kg 3) 1.25 kg

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Learning Check If blood has a density of 1.05 g/mL, how many liters of blood are donated if 575 g of blood are given? 1) L 2) L 3) L 4) 548 L

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Learning Check A group of students collected 125 empty aluminum cans to take to the recycling center. If 21 cans make 1.0 pound of aluminum, how many liters of aluminum (D = 2.70 g/cm3) are obtained from the cans? (1 kilogram = 2.2 pounds) 1) L 2) L ) L

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**Which is heavier, a quart of water or a quart of mercury?**

Water has a density of 1.0 g/ml and mercury (Hg) has a density of 13.6 g/ml. Which is heavier, a quart of water or a quart of mercury? If we have equal volumes of two different substances, then the one with the greater density will have the greater mass.

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**Which is heavier, a ton of feathers or a ton of bricks?**

Neither Which is larger? Feathers If two objects have the same mass, the one with the higher density will be smaller.

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