Presentation on theme: "How tightly the atoms are packed together in an object"— Presentation transcript:
1 How tightly the atoms are packed together in an object DensityHow tightly the atoms are packed together in an object
2 Density At the conclusion of our time together, you should be able to: Define densityCalculate the density of a given object if given the volume and massCalculate the volume or mass if the density is given with the volume or mass
3 Density Density = mass volume Mass = the amount of matter in an object Volume = the amount of space the object takes upUnits = g/mL (liquid) OR g/cm3 (solid)
4 DENSITY - an important and useful (qualitative) intensive physical property AluminumPlatinumMercury13.6 g/cm321.5 g/cm32.7 g/cm3
5 Density CalculationsMDVCover up whatever unit you are solving for, the two units remaining will show you how to solve the problem.
6 Density Calculations Regularly Shaped Solid : mass = balance volume = measure (l x w x h)Irregularly Shaped Solid:volume = water displacement
7 Density Calculations Liquid: volume = read graduated cylinder mass = tare graduated cylinder, mass liquid
8 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).MDV
9 Strategy1. Get dimensions in common units.2. Calculate volume in cubic centimeters.3. Calculate the density.
10 1. Get dimensions in common units. SOLUTION1. 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 cm3Note only 2 significant figures in the answer!
11 DENSITY Density is a (qualitative) intensive property of matter. does NOT depend on quantity of matter.like temperatureContrast with (quantitative) extensive propertydepends on quantity of matter.like mass and volume.StyrofoamBrick
12 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?
13 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
14 Strategy1. Convert volume to mass2. Convert mass (g) to mass (lb)
15 Learning Check Osmium is a very dense metal. What is its density in g/cm3 if g of the metal occupiesa volume of 2.22 cm3?1) g/cm32) 22.5 g/cm33) 111 g/cm3
16 Solution2) Placing the mass and volume of the osmium metal into the density setup, we obtainD = mass = g =volume 2.22 cm3= g/cm3 = g/cm3
17 Learning Check Osmium is a very dense metal. What is its density in g/cm3 if g of the metal occupiesa volume of 2.22 cm3?1) g/cm32) 22.5 g/cm33) 111 g/cm3
18 Volume Displacement 25 mL A solid displaces a matching volume of water when the solid is placed in water.33 mL25 mL
19 Learning CheckWhat 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/cm333 mL25 mL
20 Density Let’s see if you can: Define densityCalculate the density of a given object if given the volume and massCalculate the volume or mass if the density is given with the volume or mass
21 Learning CheckWhich 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) ) )KVWVWKWVK
22 Learning CheckThe density of octane, a component of gasoline, is g/mL. What is the mass, in kg, of 875 mL of octane?1) kg2) 614 kg3) 1.25 kg
23 Learning CheckIf blood has a density of 1.05 g/mL, how many liters of blood are donated if 575 g of blood are given?1) L2) L3) L4) 548 L
24 Learning CheckA 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
25 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.
26 Which is heavier, a ton of feathers or a ton of bricks? NeitherWhich is larger?FeathersIf two objects have the same mass, the one with the higher density will be smaller.