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# Density - PowerPoint PPT Presentation

Density. Mathematic Definition: D=m/v. Density is the amount of mass in a given volume. Volume. Particle Definition:. A measure of how tightly packed matter is . Liquid. Gas. Solid. Example of how to calculate density.

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## PowerPoint Slideshow about ' Density' - oakes

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Presentation Transcript

### Density

• Density is the amount of mass in a given volume

Volume

• A measure of how tightly packed matter is

Liquid

Gas

Solid

• If you were given a rock with a mass of 243.5g and a volume of 94.3 cm3, what would be the rock's density?

243.5g

94.3 cm3

2.6 g/cm3

D= m/v

• 500 grams of sugar occupies a volume of 315mL. What is the density of the sugar in g/mL? Round your answer to the nearest 100th.

• Liquid A has a mass of 467 grams and a volume of 243ml. Liquid B has a mass of 27.2 grams and a volume of 12ml. Which liquid has a greater density?

D=m/v D= 500g/315ml D=1.59g/ml

Liquid A: D=m/v D= 467g/243ml D=1.92g/cm3

Liquid B: D=m/v D= 27.2g/12ml D=2.27g/cm3

If you know the density and the volume of a substance, you can solve for the mass.

• Example: How many g of mercury would fill a 5 ml container if the density of mercury is 13.6 g/cm³?

• Remember 1 ml = 1cm³

M= D x V

M= 68g

M= 13.6 g x 5 cm3

cm3

If you know the density and the mass of a substance, you can solve for the volume.

• Example: How many ml of mercury would fill a 20g container if the density of mercury is 13.6 g/cm³?

• Remember 1 ml = 1cm³

V= M/D

V= 1.47ml

V= 20g /13.6 g

cm3

More Practice! solve for the volume.Yay!

• What is the mass of 45cm3 block of iron if the density of iron is 7.87 g/cm³?

• The density of pure solid copper is 8.94g/cm3. What volume does 5,000g of copper occupy?

M=d x V M= 7.87 g/cm3 x 45cm3 M=354.15g

V= m/D v= 5,000g/ 8.94g/cm3 v=559.28cm3

Why do objects float/sink? solve for the volume.

FALSE!!!

• Because they are “light” or heavy?”

• If is more dense then the liquid it is in, it will sink!!!

• if it is less dense than the liquid it is in, it will float!!!

Prove it! solve for the volume.

• Watch and be amazed! Predict what will happen.

Buoyancy solve for the volume.

• Floating objects are often called buoyant

• It simply is relating the density of one object to another

• Very simple, the more there is a difference between the density of an object and the density of the liquid it is floating in, the more buoyant that object.

Density

0.5g/cm3

Density

1.0g/cm3

Density

0.9g/cm3

The difference between the water and the object it about half; that is why it is about half underwater.

The difference between the water and the object is .1; that is why only a tenth of the block is sticking out of the water

The density of the water and the object is the same; it can be placed anywhere in this liquid and it will stay. Think of a fish!