M
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Density Problems
Solve the following problems showing all your work including equations and units.
Dx V
1. Calculate the mass of a liquid with a density of 3.2 g/mL and a volume of 25 mL.
M=DxV
3.2 x 25 = 80g
2. An irregular shaped object has a mass of 14.8g. When placed in 30 ml of water, the water level rises 21.5ml to 51.5ml.
What is the density of the object?
D = M/V
14.8 / 21.5 = .69 g/ml
3. Calculate the density of a 1 kg block that has the dimensions: length = 10 cm, width = 7.5 cm and height = 4.3 cm.
D = M/V
10 x 7.5 x 4.3 = 322.5 cm3
1000/322.5 = 3.1 g/cm3
1 kg = 1000g
4. Calculate the mass of a solid metal cylinder with a density of 2.6 g/cm3, a diameter of 1.8 cm, and a length of 4 cm.
M=DxV
3.14 x .92 x 4 = 10.18 cm3
2.6 x 10.18 = 26.46 g/cm3
Volume of a cylinder = πr2h
5. Gold has a density of 19.3 g/ cc. How much volume would a 100 g piece of gold take up?
M/D = V
100/ 19.3 = 5.18 cc
6. Silver has a density of 10.5 g/cm3. What would the mass be of a .2km3 piece of silver?
DxV=M
(.2 km3)(1000m) (1000m) (1000m) (100 cm) (100 cm) (100 cm) = 2 x 1014 cm3
1 km 1 km
1 km 1m
1m
1m
14
3
15
10.5 x 2 x 10 cm = 2.1 x 10 g
7. Calculate the mass of a solid metal cylinder with a density of 3.4 g/cm3 , a diameter of 2.2 cm and a length 4.2 cm.
M=DxV
Volume of a cylinder = πr2h
3.4 x (3.14 x 1.12 x 4.2) = 54.28 g
8. Calculate the mass of a liquid with a density of 1.23 g/ml and a volume of 63 ml.
M=DxV
1.23 x 63 = 77.49 g
9.
A graduated cylinder has a mass of 90 g when empty. When 25 ml of water is added, the graduated cylinder has a mass of
113 g. If an object is added to the cylinder the water level rises to 49 ml and the total mass is 175 g. What is the density of
Object = 175 – 113g = 62 g
M/ V = D
49 – 25 = 24 ml
62/ 24 = 2.58 g/ml
10. An irregular object with a mass of 18 kg displaces 2.5 L of water when placed in a large overflow container. Calculate the
density of the object.
M/ V = D
18000/25000 = .72g/ml
2.5 L = 25000 ml
18kg = 18000 g