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Density

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Density is the mass of a given object over a unit of volume Density is an intensive property The formula to solve for density is D=m/V

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D=m/V m is mass – Mass should always be in grams (g) – If it is not in grams you must convert to grams V is volume – Volume of a solid or a liquid can be in mL or cm 3 1 mL = 1 cm 3 cc is used in medicine for centimeters cubed – Volume of a gas will always be in liters (L)

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Volume Volume of a liquid can be found using a graduated cylinder. Volume of a gas is the volume of the container it is stored in. Volume of a solid can be found two ways. – For a geometric shape you can measure the sides in cm and calculate the volume using a formula – For irregular shapes you can use displacement

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Volume Formulas for volume: – Box/cube: V = l x w x h – Cylinder: V= πr 2 h If you have the following box and all the measurements are in cm, what is it’s volume?

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Volume If you have the following cylinder, what is it’s volume? If you are given a volume in something other then cm 3 or mL, or L for a gas, you must convert it.

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Converting Units That Have a Power Convert 12.5 in 3 in to cm 3 : Convert 1.5 ft 3 into cm 3 : Convert 4.35 cm 3 into mL:

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Water Displacement Method Displacement is when you measure the volume of a liquid with out the object in it and the height with an object in it. The difference is the volume of the object.

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Density The density of a solid or liquid will be in g/mL or g/cm 3. The density of a gas will be in g/L. If you know any two parts of the density formula you can solve for the third.

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Density Problems If you have an object where the volume is 6.52 mL and the mass is 15.21 g, what is it’s density? If you have a piece of lead, and you know lead has a density of 11.4 g/mL, what would be it’s volume if the it has a mass of 25.45 g?

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Density Problems You have an object that has a mass of 2.1 lbs, and you put the object in a cylinder of water and the water raises from 2.51 gal to 5.45 gal. What is the density of that object? You know the density of Helium is 0.1785 g/L. And you have helium in a 2.0 L container. What is the mass of the helium in the container?

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Comparing Densities You can compare densities to determine if and object can float on a liquid: The density of vegetable oil is 0.894 g/mL, will the following objects float in vegetable oil? – Lead 11.4 g/mL – Cork 0.193 g/mL

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