Test your separation of mixtures memory by trying the activities below:
Density Problems
Click on the words Hint and Answer to check your solution.
Given a mass of 14 g and a volume of 28 mL, calculate the density.
Hint
D= m/v
Answer
D = m/v = 14 g/28 mL = 0.50 g/mL
What is the mass of an object with a density of 4.0 g/cm3 that displaces 3.0 cm3 of water?
Hint
m = DxV
Given that the density of iron is 11.35 grams per centimeter cubed, what would be the volume of a 1.1 gram piece of iron?
Hint
v = m/D
Answer
V = m/D = 1.1 g/(11.35 g/cm3) = 0.097 cm3
Find the density of a block with a length of 8.0 cm, a width of 4.0 cm, a height 2.0 cm, and a mass of 32 g. Would this block float or sink in water?
Hint
D = m/v ; Density of water is 1 g/cm3
Answer
Density of block is D = m/v = 32 g/(8 cm x 4 cm x 2 cm) = 32 g/64 cm3 = .5 g/cm3; Density of block < density of water: block would float
You have two pieces of jewelry. One of them is supposed to be pure silver. The first piece has a mass of 20.0 g and the other piece has a mass of 44.0 g. Both pieces displace 4.0 mL of water. Silver has a density of 10.5 g/cm3. Which piece is actually silver?
Hint
D = m/v
Answer
20/4 = 5 and 44/4 = 11 If one has to be silver, it’s likely the second one.
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