Name: ____________________________________________ Period: _______
Chemistry X
Scientific Notation and Density Problems
Part 1. Write the following numbers using scientific notation.
1) 53200
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6) 0.00032
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2) 980700
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7) 203
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3) 0.187
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8) 0.0485
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4) 390
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9) 0.000005
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5) 0.00298
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10) 2000000
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Part 2. Write the following numbers using normal notation.
11) 1.2 x 109
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12) 3.45 x 10-3
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13) 5.6 x 102
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14) 8.21 x 105
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15) 9.7 x 10-5
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Part 3: Solve the density problems written below. You must show all
of your work to receive full credit for each problem.
16. A piece of tin has a mass of 16.52 g and a volume of 2.26 mL. What
is the density of the tin?
17. A man has a 50.0 mL bottle completely filled with 163 g of a slimy
green liquid. What is the density of the liquid?
18. A sealed 2500 mL flask is full to capacity with 0.36 g of a substance.
Determine the density of the substance.
19. What is the mass of an object that has a density of 8 g/mL and a
volume of 64 mL?
20. Different kinds of wood have different densities. The density of pine
is generally about 0.5 g/mL. What is the mass of a 800 mL piece of
pine?
21. What is the volume of 325 g of metal with a density of 9.0 g/mL?
22. Diamonds have a density of 3.5 g/mL. What is the volume of a
diamond that has a mass of 0.10 g?
23. If a liquid has a volume of 620 mL and a mass of 480 g, what is its
density?
24. A sample of a substance with a mass of 85 g occupies a volume of
110 mL. What is the density of the substance?
25. The density of a piece of brass is 8.4 g/mL. If its mass is 510 g, find
the volume of brass.
26. The density of copper is 8.9 g/mL. You have a piece of copper with a
volume of 23.4 mL. What is the mass of the piece of copper?
27. Mercury has a density of 13.6 g/mL. If you have 225 g of mercury,
what is the volume of the mercury?
28. If 75.0 g of a liquid has a volume of 62.4 mL, what is the liquid’s
density?
29. A cube of iron has a mass of 15.9 g. If iron has a density of 7.86
g/mL, what is the volume of the iron cube?
30. The element osmium is one of the densest substances on Earth. The
density of osmium is 22.57 g/mL. What is the volume of a sample of
osmium that has a mass of 4700 g?
31. Lead has a density of 11.3 g/mL. A piece of lead has a volume of
32.5 mL. What is the mass of the piece of lead?
32. The density of pure silver is 10.5 g/mL. If you have a 5.25 g of silver
pellets, what is the volume of the silver?
33. What mass of water (in grams) will fill a tank 100 cm long, 50 cm
wide, and 30 cm high? Remember, the density of water is 1.0 g/cm3.
34. A rock has a mass of 56.9 g. The rock is placed in a graduated
cylinder containing 60 mL of water. The volume of the rock and the
water is 78.2 mL. What is the density of the rock?
35. A solid metal rod is placed in a graduated cylinder containing 35.2
mL of water. The volume of the water and metal rod is 42.8 mL. If
the rod has a mass of 20.5 g, what is the density of the metal rod?