1.E: Chemistry, Matter, and Measurement (Exercises)
- Page ID
- 165415
Exercises
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A sample of urine has a density of 1.105 g/cm3. What is the mass of 0.255 L of this urine?
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The hardest bone in the body is tooth enamel, which has a density of 2.91 g/cm3. What is the volume, in liters, of 75.9 g of tooth enamel?
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Some brands of aspirin have 81 mg of aspirin in each tablet. If a person takes 8 tablets per day, how many grams of aspirin is that person consuming every day?
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The US government has a recommended daily intake (RDI) of 5 µg of vitamin D per day. (The name recommended daily allowance was changed to RDI in 1997.) If milk contains 1.2 µg per 8 oz glass, how many ounces of milk are needed to supply the RDI of vitamin D?
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The population of the United States, according to the 2000 census, was 281.4 million people.
- How many significant figures does this number have?
- What is the unit in this quantity?
- Express this quantity in proper scientific notation.
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The United States produces 34,800,000,000 lb of sugar each year, and much of it is exported to other countries.
- How many significant figures does this number have?
- What is the unit in this quantity?
- Express this quantity in proper scientific notation.
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Construct a conversion factor that can convert from one unit to the other in each pair of units.
- from millimeters to kilometers
- from kilograms to micrograms
- from centimeters to micrometers
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Construct a conversion factor that can convert from one unit to the other in each pair of units.
- from kilometers to micrometers
- from decaliters to milliliters
- from megagrams to milligrams
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What is the density of a dextrose solution if 355 mL of the solution has a mass of 406.9 g?
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What is the density of a dental amalgam (an alloy used to fill cavities) if 1.005 kg of the material has a volume of 433 mL? Express your final answer in grams per milliliter.
For Exercises 11–16, see the accompanying table for the relationships between English and SI units.
1 m ≈ 39.36 in. ≈ 3.28 ft ≈ 1.09 yd |
1 in. ≈ 2.54 cm |
1 km ≈ 0.62 mi |
1 kg ≈ 2.20 lb |
1 lb ≈ 454 g |
1 L ≈ 1.06 qt |
1 qt ≈ 0.946 L |
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Approximately how many inches are in 4.76 m?
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Approximately how many liters are in 1 gal, which is exactly 4 qt?
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Approximately how many kilograms are in a person who weighs 170 lb?
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The average distance between Earth and the sun is 9.3 × 107 mi. How many kilometers is that?
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Show mathematically that 1 L equals 1 dm3.
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Show mathematically that 1 L equals 1,000 cm3.
Answers
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282 g
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650 mg
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- four significant figures
- people
- 2.841 × 108 people
- three significant figures
- pound (lb)
- 3.48 x 1010 lbs
7
- \(\mathrm{\dfrac{1\:km}{10^6\:mm}}\)
- \(\mathrm{\dfrac{10^9\:\mu g}{1\:kg}}\)
- \(\mathrm{\dfrac{10^4\:\mu m}{1\:cm}}\)
8. Construct a conversion factor that can convert from one unit to the other in each pair of units.
- \(\mathrm{\dfrac{10^9\:\mu m}{1\:km}}\)
- \(\mathrm{\dfrac{100\:mL}{1\:dL}}\)
- \(\mathrm{\dfrac{10^9\:mg}{1\:Mg}}\)
9. 1.15 g/mL