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Problem 97
A certain European automobile has a gas mileage of 17 km/L. What is the gas mileage in miles per gallon?
Problem 98
A gas can holds 5.0 gal of gasoline. Express this quantity in cm3.
Problem 99a
A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2
Problem 99b
A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2
Problem 99c
A house has an area of 195 m2. What is its area in each unit? a. km2 b. dm2 c. cm2
Problem 100
A bedroom has a volume of 115 m3. What is its volume in each unit? a. km3 b. dm3 c. cm3
Problem 101
The average U.S. farm occupies 435 acres. How many square miles is this? (1 acre = 43,560 ft2, 1 mile = 5280 ft)
Problem 102
Total U.S. farmland occupies 954 million acres. How many square miles is this? (1 acre = 43,560 ft2, 1 mi = 5280 ft). Total U.S. land area is 3.537 million square miles. What percentage of U.S. land is farmland?
Problem 103
An acetaminophen suspension for infants contains 80 mg/0.80 mL suspension. The recommended dose is 15 mg/kg body weight. How many mL of this suspension should be given to an infant weighing 14 lb? (Assume two significant figures.)
Problem 104
An ibuprofen suspension for infants contains 100 mg/5.0 mL suspension. The recommended dose is 10 mg/kg body weight. How many mL of this suspension should be given to an infant weighing 18 lb? (Assume two significant figures.)
Problem 105
There are exactly 60 seconds in a minute, exactly 60 minutes in an hour, exactly 24 hours in a mean solar day, and 365.24 solar days in a solar year. How many seconds are in a solar year? Give your answer with the correct number of significant figures.
Problem 106
Determine the number of picoseconds in 2.0 hours.
Problem 107
Classify each property as intensive or extensive. a. volume b. boiling point c. temperature d. electrical conductivity e. energy
Problem 108
At what temperatures are the readings on the Fahrenheit and Celsius thermometers the same?
- Suppose you design a new thermometer called the X thermometer. On the X scale, the boiling point of water is 130 °X, and the freezing point of water is 10 °X. At what temperature are the readings on the Fahrenheit and X thermometers the same?
Problem 109
Problem 110
On a new Jekyll temperature scale, water freezes at 17 °J and boils at 97 °J. On another new temperature scale, the Hyde scale, water freezes at 0 °H and boils at 120 °H. If methyl alcohol boils at 84 °H, what is its boiling point on the Jekyll scale?
Problem 111
Force is defined as mass times acceleration. Starting with SI base units, derive a unit for force. Using SI prefixes, suggest a convenient unit for the force resulting from a collision with a 10-ton trailer truck moving at 55 mi per hour and for the force resulting from the collision of a molecule of mass around 10 - 20 kg moving almost at the speed of light (3×108 m/s) with the wall of its container. (Assume a 1-second deceleration time for both collisions.)
- Why does a temperature measurement of 25 °C have three significant figures, while a temperature measurement of -196 °C only has two significant figures? Explain.
Problem 112
- Do each calculation without your calculator and give the answers to the correct number of significant figures: a. 1.76 * 10^3 > 8.0 * 10^2 b. 1.87 * 10^-2 + 2 * 10^-4 - 3.0 * 10^-3 c. [(1.36 * 10^5)(0.000322) > 0.082](129.2)
Problem 113
Problem 114
The value of the euro was recently $1.15 U.S., and the price of 1 liter of gasoline in France is 1.42 euro. What is the price of 1 gallon of gasoline in U.S. dollars in France?
Problem 115
A thief uses a can of sand to replace a solid gold cylinder that sits on a weight-sensitive, alarmed pedestal. The can of sand and the gold cylinder have exactly the same dimensions (length = 22 and radius = 3.8 cm). a. Calculate the mass of each cylinder (ignore the mass of the can itself). (density of gold = 19.3 g/cm3, density of sand = 3.00 g/cm3) b. Does the thief set off the alarm? Explain.
Problem 116
The proton has a radius of approximately 1.0×10−13 cm and a mass of 1.7×10−24 g. Determine the density of a proton for a sphere V = (4/3)πr3.
Problem 117
The density of titanium is 4.51 g/cm3. What is the volume (in cubic inches) of 3.5 lb of titanium?
Problem 118
The density of iron is 7.86 g/cm3. What is its density in pounds per cubic inch (lb/in3)?
Problem 119
A steel cylinder has a length of 2.16 in, a radius of 0.22 in, and a mass of 41 g. What is the density of the steel in g/cm3?
Problem 120
A solid aluminum sphere has a mass of 85 g. Use the density of aluminum to find the radius of the sphere in inches.
- A backyard swimming pool holds 185 cubic yards (yd³) of water. What is the mass of the water in pounds?
Problem 121
Problem 122
An iceberg has a volume of 7655 ft2. What is the mass of the ice (in kg) composing the iceberg (at 0 °C)?
Problem 123
The Toyota Prius, a hybrid electric vehicle, has an EPA gas mileage rating of 52 mi/gal in the city. How many kilometers can the Prius travel on 15 L of gasoline?
Problem 124
The Honda Insight, a hybrid electric vehicle, has an EPA gas mileage rating of 41 mi/gal in the city. How many kilometers can the Insight travel on the amount of gasoline that would fit in a soda can? The volume of a soda can is 355 mL.