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Problem 57f
Perform the following conversions: (f) 0.02500 ft3 to cm3.
Problem 58a
Carry out the following conversions: (a) 0.105 in. to mm
Problem 58c,f
Carry out the following conversions: (c) 8.75 mm/s to km/hr (f) 8.75 lb/ft3 to g/mL.
Problem 58d
Carry out the following conversions: (d) 1.955 m3 to yd3
Problem 58e
Carry out the following conversions: (e) $3.99/lb to dollars per kg
Problem 59a
(a) How many liters of wine can be held in a wine barrel whose capacity is 31 gal?
Problem 59b
(b) The recommended adult dose of Elixophyllin®, a drug used to treat asthma, is 6 mg/kg of body mass. Calculate the dose in milligrams for a 185-lb person.
Problem 59c
(c) If an automobile is able to travel 400 km on 47.3 L of gasoline, what is the gas mileage in miles per gallon?
Problem 59d
(d) When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4 cups = 1 qt). How many kg of coffee are required to produce 200 cups of coffee?
Problem 60d
(d) In March 1989, the Exxon Valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of Alaska. One barrel of petroleum is equal to 42 gal. How many liters of petroleum were spilled?
- The indoor concentration of ozone above 300 mg/m³ is considered to be unhealthy. What mass of ozone in grams is present in a room measuring 3.2 m × 2.8 m × 4.1 m?
Problem 62
Problem 63
Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 30 m x 25 m ceiling with gold leaf that is twelve-millionths of a centimeter thick. The density of gold is 19.32 g/cm3, and gold costs $1654 per troy ounce (1 troy ounce = 31.1034768 g). How much will it cost the architect to buy the necessary gold?
Problem 64
A copper refinery produces a copper ingot weighing 70 kg. If the copper is drawn into wire whose diameter is 7.50 mm, how many meters of copper can be obtained from the ingot? The density of copper is 8.94 g/cm3. (Assume that the wire is a cylinder whose volume V = πr2h, where r is its radius and h is its height or length.)
Problem 65a,b
Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: (a) a leaf (b) a 999 gold bar
Problem 65c
Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: (c) stainless steel.
Problem 66b
(b) A(n) _________ reliably predicts the behavior of matter, while a(n) _________ provides an explanation for that behavior.
Problem 69a
Two students determine the percentage of lead in a sample as a laboratory exercise. The true percentage is 22.52%. The students’ results for three determinations are as follows: (1) 22.52, 22.48, 22.54 (2) 22.64, 22.58, 22.62 (a) Calculate the average percentage for each set of data and state which set is the more accurate based on the average.
Problem 71f
What type of quantity (for example, length, volume, density) do the following units indicate? (f) ms-1
Problem 71g
What type of quantity (for example, length, volume, density) do the following units indicate? (g) Pa.
Problem 72a,b,c,d
Give the derived SI units for each of the following quantities in base SI units: (a) acceleration = distance/time2 (b) force = mass × acceleration (c) work = force × distance (d) pressure = force/area
Problem 72e
Give the derived SI units for each of the following quantities in base SI units: (e) power = work/time
Problem 72g
Give the derived SI units for each of the following quantities in base SI units: (g) energy = mass × (velocity)2
Problem 73a
The distance from Earth to the Moon is approximately 240,000 mi. (a) What is this distance in meters?
Problem 73c
The distance from Earth to the Moon is approximately 240,000 mi. (c) The speed of light is 3.00 ⨉ 108 m/s. How long does it take for light to travel from Earth to the Moon and back again?
Problem 73d
The distance from Earth to the Moon is approximately 240,000 mi. (d) Earth travels around the Sun at an average speed of 29.783 km/s. Convert this speed to miles per hour.
- Which of the following would you characterize as pure or nearly pure substance? (a) stomach acid; (b) dry ice; (c) ice-cream; (d) stainless steel; (e) petroleum; (f) distilled water; (g) carbon monoxide gas; (h) compressed air in balloon.
Problem 74
Problem 75d
The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.(d) The U.S. National Debt Clock showed the outstanding public debt to be $16,213,166,914,811 on October 28, 2012. How many stacks like the one described would be necessary to pay off this debt?
- In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd2. An acre-foot is enough water to supply two typical households for 1.00 yr. (a) If desalinated water costs $1950 per acre-foot, how much does desalinated water cost per liter?
Problem 76
- By using estimation techniques, determine which of the following is the heaviest and which is the lightest: a 10-lb bag of fertilizer, a 10-kg bag of rice, or 2 gal of olive oil (density = 0.918 g/cm³).
Problem 77
- Suppose you decide to define your own temperature scale with units of O, using the freezing point 113 _x001F_C2 and boiling point 1360 _x001F_C2 of oleic acid, the main component of olive oil. If you set the freezing point of oleic acid as 0 _x001F_O and the boiling point as 100 _x001F_O, what is the freezing point of water on this new scale?
Problem 78