Unit one topic



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UNIT ONE

  • TOPIC:

  • Density


Density



Learning Check D1

  • Osmium is a very dense metal. What is its

  • density in g/cm3 if 50.00 g of the metal occupies

  • a volume of 2.22cm3?

  • 1) 2.25 g/cm3

  • 2) 22.5 g/cm3

  • 3) 111 g/cm3



Solution D1

  • 2) Placing the mass and volume of the osmium metal into the density setup, we obtain

  • D = mass = 50.00 g =

  • volume 2.22 cm3

  • = 22.522522 g/cm3 = 22.5 g/cm3



Volume Displacement

  • A solid displaces a matching volume of water when the solid is placed in water.

  • 33 mL

  • 25 mL



Learning Check D2

  • What is the density (g/cm3) of 42 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/ cm3 2) 6 g/m3 3) 5 g/cm3

  • 33 mL

  • 25 mL



Solution D2

  • 2. 5 g/cm3

  • Volume (mL) of water displaced

  • = 33 mL - 25 mL = 8 mL

  • Volume of metal (cm3)

  • = 8 mL x 1 cm3 = 8 cm3

  • 1 mL

  • Density of metal =

  • mass = 42 g = 5 g/cm3

  • volume 8 cm3



Learning Check D3

  • 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) 2) 3)



Solution D3

  • (K) Karo syrup (1.4 g/mL), (V) vegetable oil (0.91 g/mL,) (W) water (1.0 g/mL)

  • 1)



Density as Conversion Factors

  • A substance has a density of 3.8 g/mL.

  • Density = 3.8 g/mL

  • Equality 3.8 g = 1 mL

  • Conversion factors.

  • 3.8 g and 1 mL

  • 1 mL 3.8 g



Density Connections

  • Mass Volume

  • kg L

  • g mL (cm3)

  • mg



Learning Check D4



Solution D4

  • 1) 0.614 kg

  • Unit plan: mL  g  kg

  • Equalities: 1 mL = 0.702 g and 1 kg = 1000 g

  • Setup:

  • 875 mL x 0.702 g x 1 kg = 0.614 kg

  • 1 mL 1000 g

  • density metric

  • factor factor



Learning Check D5

  • 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) 0.548 L

  • 2) 1.25 L

  • 3) 1.83 L



Solution D5

  • 1)

  • Unit Plan: g mL L

  • 575 g x 1 mL x 1 L = 0.548 L

  • 1.05 g 1000 mL



Learning Check D6

  • 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) 1.0 L 2) 2.0 L 3) 4.0 L



Solution D6

  • 1) 1.0 L

  • 125 cans x 1.0 lb x 454 g x 1 cm3

  • 21 cans 1 lb 2.70 g

  • x 1 mL x 1 L = 1.0 L

  • 1 cm3 1000 mL



Learning Check D7

  • You have 3 metal samples. Which one will displace the greatest volume of water?

  • 1 2 3

  • Discuss your choice with another student.



Solution D7

  • 1) 25 g Al x 1 mL = 9.2 mL 2.70 g



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