A chemist decomposes several samples of carbon monoxide into carbon and oxygen and weighs the resultant elements. The results are shown in the table. a. Do you notice a pattern in these results? Next, the chemist decomposes several samples of hydrogen peroxide into hydrogen and oxygen. The results are shown in the table. b. Do you notice a similarity between these results and those for carbon monoxide in part a? c. Can you formulate a law from your observations in a and b? d. Can you formulate a hypothesis that might explain your law in c?
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Textbook Solutions for Chemistry: A Molecular Approach
Question
Classify each of the listed properties of ozone (a pollutant in the lower atmosphere but part of a protective shield against UV light in the upper atmosphere) as physical or chemical.a. bluish colorb. pungent odorc. very reactived. decomposes on exposure to ultraviolet lighte. gas at room temperature
Solution
The first step in solving 1 problem number trying to solve the problem we have to refer to the textbook question: Classify each of the listed properties of ozone (a pollutant in the lower atmosphere but part of a protective shield against UV light in the upper atmosphere) as physical or chemical.a. bluish colorb. pungent odorc. very reactived. decomposes on exposure to ultraviolet lighte. gas at room temperature
From the textbook chapter Matter, Measurement, and Problem Solving you will find a few key concepts needed to solve this.
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Solved: Classify each of the listed properties of ozone (a pollutant in the lower
Chapter 1 textbook questions
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Chapter 1: Problem 35 Chemistry: A Molecular Approach 5 -
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Chapter 1: Problem 41 Chemistry: A Molecular Approach 5Determine whether each molecular diagram represents a pure substance or a mixture. If it represents a pure substance, classify the substance as an element or a compound. If it represents a mixture, classify the mixture as homogeneous or heterogeneous.
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Chapter 1: Problem 42 Chemistry: A Molecular Approach 5Determine whether each molecular diagram represents a pure substance or a mixture. If it represents a pure substance, classify the substance as an element or a compound. If it represents a mixture, classify the mixture as homogeneous or heterogeneous.
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Chapter 1: Problem 49 Chemistry: A Molecular Approach 5Based on the molecular diagram, classify each change as physical or chemical.
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Chapter 1: Problem 50 Chemistry: A Molecular Approach 5Based on the molecular diagram, classify each change as physical or chemical.
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Chapter 1: Problem 51 Chemistry: A Molecular Approach 5Convert each temperature. a. \(32^{\circ} \mathrm{F}\) to \(^{\circ} \mathrm{C}\) (temperature at which water freezes) b. 77 K to \({ }^{\circ} \mathrm{F}\) (temperature of liquid nitrogen) c. \(-109^{\circ} \mathrm{F}\) to \(^{\circ} \mathrm{C}\) (temperature of dry ice) d. \(98.6^{\circ} \mathrm{F}\) to K (body temperature) Text Transcription: 32^circ F ^circ C ^circ F -109^circ F ^circ C 98.6^circ F
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Chapter 1: Problem 52 Chemistry: A Molecular Approach 5Convert each temperature. a. \(212^{\circ} \mathrm{F}\) to \({ }^{\circ} \mathrm{C}\) (temperature of boiling water at sea level) b. \(22^{\circ} \mathrm{C}\) to K (approximate room temperature) c. 0.00 K to \({ }^{\circ} \mathrm{F}\) (coldest temperature possible, also known as absolute zero) d. 2.735 K to \({ }^{\circ} \mathrm{C}\) (average temperature of the universe as measured from background black body radiation) Text Transcription: 212^circ F ^circ C 22^circ C ^circ F ^circ C
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Chapter 1: Problem 53 Chemistry: A Molecular Approach 5The coldest ground-level temperature ever measured on Earth is \(-128.6^{\circ} \mathrm{F}\), recorded on July 21, 1983, in Antarctica. Convert that temperature to \({ }^{\circ} \mathrm{C}\) and K. Text Transcription: -128.6^circ F ^circ C
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Chapter 1: Problem 54 Chemistry: A Molecular Approach 5The warmest temperature ever measured in the United States is \(134^{\circ} \mathrm{F}\), recorded on July 10, 1913, in Death Valley, California. Convert that temperature to \({ }^{\circ} \mathrm{C}\) and K. Text Transcription: 134^circ F ^circ C
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Chapter 1: Problem 55 Chemistry: A Molecular Approach 5Use the prefix multipliers to express each measurement without exponents. a. \(1.2 \times 10^{-9} \mathrm{m}\) b. \(22 \times 10^{-15} s\) c. \(1.5 \times 10^{9} \mathrm{g}\) d. \(3.5 \times 10^{6} \mathrm{L}\) Text Transcription: 1.2 times 10^-9 m 22 times 10^-15 s 1.5 times 10^9 g 3.5 times 10^6 L
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Chapter 1: Problem 56 Chemistry: A Molecular Approach 5Use prefix multipliers to express each measurement without exponents. a. \(38.8 \times 10^{5} \mathrm{g}\) b. \(55.2 \times 10^{-10} \mathrm{s}\) c. \(23.4 \times 10^{11} \mathrm{m}\) d. \(87.9 \times 10^{-7} \mathrm{L}\) Text Transcription: 38.8 times 10^5 g 55.2 times 10^-10 s 23.4 times 10^11 m 87.9 times 10^-7 L
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Chapter 1: Problem 57 Chemistry: A Molecular Approach 5Use scientific notation to express each quantity with only base units (no prefix multipliers). a. 4.5 ns b. 18 fs c. 128 pm d. \(35 \mu \mathrm{m}\) Text Transcription: 35 mu m
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Chapter 1: Problem 58 Chemistry: A Molecular Approach 5Use scientific notation to express each quantity with only base units (no prefix multipliers). a. \(35 \mu \mathrm{L}\) b. 225 Mm c. 133 Tg d. 1.5 cg Text Transcription: 35 mu L
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Chapter 1: Problem 62 Chemistry: A Molecular Approach 5Express the quantity \(556.2 \times 10^{-12} \mathrm{s}\) in each unit. a. ms b. ns c. ps d. fs Text Transcription: 556.2 times 10^-12 s
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Chapter 1: Problem 65 Chemistry: A Molecular Approach 5A new penny has a mass of 2.49 g and a volume of \(0.349 \mathrm{cm}^{3}\). Is the penny made of pure copper? Explain your answer. Text Transcription: 0.349 cm^3
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Chapter 1: Problem 66 Chemistry: A Molecular Approach 5A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in \(\mathrm{g} / \mathrm{cm}^{3}\)? Text Transcription: g/cm^3
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Chapter 1: Problem 67 Chemistry: A Molecular Approach 5Glycerol is a syrupy liquid often used in cosmetics and soaps. A 3.25 L sample of pure glycerol has a mass of \(4.10 \times 10^{3} \mathrm{g}\). What is the density of glycerol in \(\mathrm{g} / \mathrm{cm}^{3}\)? Text Transcription: 4.10 times 10^3 g g/cm^3
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Chapter 1: Problem 69 Chemistry: A Molecular Approach 5Ethylene glycol (antifreeze) has a density of \(1.11 \mathrm{g} / \mathrm{cm}^{3}\). a. What is the mass in g of 417 mL of ethylene glycol? b. What is the volume in L of 4.1 kg of ethylene glycol? Text Transcription: 1.11 g/cm^3
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Chapter 1: Problem 70 Chemistry: A Molecular Approach 5Acetone (nail polish remover) has a density of \(0.7857 \mathrm{g} / \mathrm{cm}^{3}\). a. What is the mass in g of 28.56 mL of acetone? b. What is the volume in mL of 6.54 g of acetone? Text Transcription: 0.7857 g/cm^3
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Chapter 1: Problem 72 Chemistry: A Molecular Approach 5Human fat has a density of \(0.918 \mathrm{g} / \mathrm{cm}^{3}\). How much volume (in \(\mathrm{cm}^{3}\)) is gained by a person who gains 10.0 lb of pure fat? Text Transcription: 0.918 g/cm^3 cm^3
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Chapter 1: Problem 73 Chemistry: A Molecular Approach 5Read each measurement to the correct number of significant figures. Laboratory glassware should always be read from the bottom of the meniscus.
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Chapter 1: Problem 74 Chemistry: A Molecular Approach 5Read each measurement to the correct number of significant figures. Laboratory glassware should always be read from the bottom of the meniscus. Digital balances normally display mass to the correct number of significant figures for that particular balance.
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Chapter 1: Problem 77 Chemistry: A Molecular Approach 5How many significant figures are in each number? a. 0.000312 m b. 312,000 s c. \(3.12 \times 10^{5} \mathrm{km}\) d. 13,127 s e. 2000 Text Transcription: 3.12 times 10^5 km
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Chapter 1: Problem 78 Chemistry: A Molecular Approach 5How many significant figures are in each number? a. 0.1111 s b. 0.007 m c. 108,700 km d. \(1.563300 \times 10^{11} \mathrm{m}\) e. 30,800 Text Transcription: 1.563300 times 10^11 m
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Chapter 1: Problem 79 Chemistry: A Molecular Approach 5Which numbers are exact (and therefore have an unlimited number of significant figures)? a. \(\pi=3.14\) b. 12 in = 1 ft c. EPA gas mileage rating of 26 miles per gallon d. 1 gross = 144 Text Transcription: pi=3.14
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Chapter 1: Problem 80 Chemistry: A Molecular Approach 5Indicate the number of significant figures in each number. If the number is an exact number, indicate an unlimited number of significant figures. a. 325,365,189 (July 4, 2017 U.S. population) b. 2.54 cm = 1 in c. \(11.4 \mathrm{g} / \mathrm{cm}^{3}\) (density of lead) d. 12 = 1 dozen Text Transcription: 11.4 g/cm^3
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Chapter 1: Problem 82 Chemistry: A Molecular Approach 5Round each number to three significant figures. a. 79,845.82 b. \(1.548937 \times 10^{7}\) c. 2.3499999995 d. 0.000045389 Text Transcription: 1.548937 times 10^7
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Chapter 1: Problem 83 Chemistry: A Molecular Approach 5Calculate to the correct number of significant figures. a. \(9.15 \div 4.970\) b. 1.54 x 0.03060 x 0.69 c. \(27.5 \times 1.82 \div 100.04\) d. \(\left(2.290 \times 10^{6}\right) \div\left(6.7 \times 10^{4}\right)\) Text Transcription: 9.15 div 4.970 27.5 times 1.82 div 100.04 (2.290 times 10^6) div (6.7 times 10^4)
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Chapter 1: Problem 84 Chemistry: A Molecular Approach 5Calculate to the correct number of significant figures. a. \(89.3 \times 77.0 \times 0.08\) b. \(\left(5.01 \times 10^{5}\right) \div\left(7.8 \times 10^{2}\right)\) c. \(4.005 \times 74 \times 0.007\) d. \(453 \div 2.031\) Text Transcription: 89.3 times 77.0 times 0.08 (5.01 times 10^5) div (7.8 times 10^2) 4.005 times 74 times 0.007 453 div 2.031
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Chapter 1: Problem 87 Chemistry: A Molecular Approach 5Calculate to the correct number of significant figures. a. \((24.6681 \times 2.38)+332.58\) b. \((85.3-21.489) \div 0.0059\) c. \((512 \div 986.7)+5.44\) d. \(\left[\left(28.7 \times 10^{5}\right) \div 48.533\right]+144.99\) Text Transcription: (24.6681 times 2.38)+332.58 (85.3-21.489) div 0.0059 (512 div 986.7)+5.44 [(28.7 times 10^5) div 48.533]+144.99
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Chapter 1: Problem 88 Chemistry: A Molecular Approach 5Calculate to the correct number of significant figures. a. \(\left[\left(1.7 \times 10^{6}\right) \div\left(2.63 \times 10^{5}\right)\right]+7.33\) b. \((568.99-232.1) \div 5.3\) c. \((9443+45-9.9) \times 8.1 \times 10^{6}\) d. \((3.14 \times 2.4367)-2.34\) Text Transcription: [(1.7 times 10^6) div (2.63 times 10^5)]+7.33 (568.99-232.1) div 5.3 (9443+45-9.9) times 8.1 times 10^6 (3.14 times 2.4367)-2.34
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Chapter 1: Problem 91 Chemistry: A Molecular Approach 5Perform each unit conversion. a. 27.8 L to \(\mathrm{cm}^{3}\) b. 1898 mg to kg c. 198 km to cm Text Transcription: cm^3
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Chapter 1: Problem 92 Chemistry: A Molecular Approach 5Perform each unit conversion. a. 28.9 nm to \(\mu \mathrm{m}\) b. \(1432 \mathrm{cm}^{3}\) to L c. 1211 Tm to Gm Text Transcription: mu m 1432 cm^3
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Chapter 1: Problem 98 Chemistry: A Molecular Approach 5A gas can holds 5.0 gal of gasoline. Express this quantity in \(\mathrm{cm}^{3}\). Text Transcription: cm^3
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Chapter 1: Problem 99 Chemistry: A Molecular Approach 5A house has an area of 195 m2. What is its area in each unit? a. \(\mathrm{km}^{2}\) b. \(\mathrm{dm}^{2}\) c. \(\mathrm{cm}^{2}\) Text Transcription: km^2 dm^2 cm^2
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Chapter 1: Problem 100 Chemistry: A Molecular Approach 5A bedroom has a volume of \(115 \mathrm{m}^{3}\). What is its volume in each unit? a. \(\mathrm{km}^{3}\) b. \(\mathrm{dm}^{3}\) c. \(\mathrm{cm}^{3}\) Text Transcription: 115 m^3 km^3 dm^3 cm^3
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Chapter 1: Problem 101 Chemistry: A Molecular Approach 5The average U.S. farm occupies 435 acres. How many square miles is this? \(\left(1 \text { acre }=43,560 \mathrm{ft}^{2}, 1 \mathrm{mile}=5280 \mathrm{ft}\right)\) Text Transcription: (1 acre =43,560 ft^2, 1 mile =5280 ft)
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Chapter 1: Problem 102 Chemistry: A Molecular Approach 5Total U.S. farmland occupies 954 million acres. How many square miles is this? \(\left(1 \text { acre }=43,560 \mathrm{ft}^{2}, 1 \mathrm{mi}=5280 \mathrm{ft}\right)\). Total U.S. land area is 3.537 million square miles. What percentage of U.S. land is farmland? Text Transcription: (1 acre =43,560 ft^2, 1 mi =5280 ft)
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Chapter 1: Problem 109 Chemistry: A Molecular Approach 5Suppose you design a new thermometer called the X thermometer. On the X scale the boiling point of water is \(130^{\circ} \mathrm{X}\), and the freezing point of water is \(10^{\circ} \mathrm{X}\). At what temperature are the readings on the Fahrenheit and X thermometers the same? Text Transcription: 130^circ X 10^circ X
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Chapter 1: Problem 110 Chemistry: A Molecular Approach 5On a new Jekyll temperature scale, water freezes at \(17^{\circ} \mathrm{J}\) and boils at \(97^{\circ} \mathrm{J}\). On another new temperature scale, the Hyde scale, water freezes at \(0^{\circ} \mathrm{H}\) and boils at \(120^{\circ} \mathrm{H}\). If methyl alcohol boils at \(84^{\circ} \mathrm{H}\), what is its boiling point on the Jekyll scale? Text Transcription: 17^circ J 97^circ J 0^circ H 120^circ H 84^circ H
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Chapter 1: Problem 111 Chemistry: A Molecular Approach 5Force 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 \(10^{-20} \mathrm{kg}\) moving almost at the speed of light \(\left(3 \times 10^{8} \mathrm{m} / \mathrm{s}\right)\) with the wall of its container. (Assume a 1-second deceleration time for both collisions.) Text Transcription: 10^-20 kg (3 times 10^8 m/s)
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Chapter 1: Problem 112 Chemistry: A Molecular Approach 5A temperature measurement of \(25^{\circ} \mathrm{C}\) has three significant figures, while a temperature measurement of \(-196^{\circ} \mathrm{C}\) has only two significant figures. Explain. Text Transcription: 25^circ C -196^circ C
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Chapter 1: Problem 113 Chemistry: A Molecular Approach 5Do each calculation without your calculator and give the answers to the correct number of significant figures. a. \(1.76 \times 10^{-3} / 8.0 \times 10^{2}\) b. \(1.87 \times 10^{-2}+2 \times 10^{-4}-3.0 \times 10^{-3}\) c. \(\left[\left(1.36 \times 10^{5}\right)(0.000322) / 0.082\right](129.2)\) Text Transcription: 1.76 times 10^-3 / 8.0 times 10^2 1.87 \times 10^-2 +2 times 10^-4 -3.0 times 10^-3 [(1.36 times 10^5)(0.000322) / 0.082](129.2)
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Chapter 1: Problem 115 Chemistry: A Molecular Approach 5A 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). \(\text { (density of gold }=19.3 \mathrm{~g} / \mathrm{cm}^{3} \text {, density of sand } \left.=3.00 \mathrm{~g} / \mathrm{cm}^{3}\right)\) b. Does the thief set off the alarm? Explain. Text Transcription: (density of gold =19.3 g/cm^3, density of sand = 3.00 g /cm^3)
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Chapter 1: Problem 116 Chemistry: A Molecular Approach 5The proton has a radius of approximately \(1.0 \times 10^{-13} \mathrm{cm}\) and a mass of \(1.7 \times 10^{-24} \mathrm{g}\). Determine the density of a proton. For a sphere, \(V=(4 / 3) \pi r^{3}\). Text Transcription: 1.0 times 10^-13 cm 1.7 times 10^-24 g V=(4 / 3) pi r^3
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Chapter 1: Problem 117 Chemistry: A Molecular Approach 5The density of titanium is \(4.51 \mathrm{g} / \mathrm{cm}^{3}\). What is the volume (in cubic inches) of 3.5 lb of titanium? Text Transcription: 4.51 g/cm^3
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Chapter 1: Problem 118 Chemistry: A Molecular Approach 5The density of iron is \(7.86 \mathrm{g} / \mathrm{cm}^{3}\). What is its density in pounds per cubic inch \(\left(\mathrm{lb} / \mathrm{in}^{3}\right)\)? Text Transcription: 7.86 g/cm^3 (lb/in^3)
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Chapter 1: Problem 119 Chemistry: A Molecular Approach 5A 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 \(\mathrm{g} / \mathrm{cm}^{3}\)? Text Transcription: g/cm^3
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Chapter 1: Problem 121 Chemistry: A Molecular Approach 5A backyard swimming pool holds 185 cubic yards \(\left(y^{3}\right)\) of water. What is the mass of the water in pounds? Text Transcription: (y^3)
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Chapter 1: Problem 122 Chemistry: A Molecular Approach 5An iceberg has a volume of \(7655 \mathrm{ft}^{2}\). What is the mass of the ice (in kg) composing the iceberg (at \(0^{\circ} \mathrm{C}\))? Text Transcription: 7655 ft^2 0^circ C
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Chapter 1: Problem 125 Chemistry: A Molecular Approach 5The single proton that forms the nucleus of the hydrogen atom has a radius of approximately \91.0 \times 10^{-13} \mathrm{cm}\). The hydrogen atom itself has a radius of approximately 52.9 pm. What fraction of the space within the atom is occupied by the nucleus? Text Transcription: 1.0 times 10^-13 cm
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Chapter 1: Problem 126 Chemistry: A Molecular Approach 5A sample of gaseous neon atoms at atmospheric pressure and \(0^{\circ} \mathrm{C}\) contains \(2.69 \times 10^{22}\) atoms per liter. The atomic radius of neon is 69 pm. What fraction of the space do the atoms themselves occupy? What does this reveal about the separation between atoms in the gaseous phase? Text Transcription: 0^circ C 2.69 times 10^22
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Chapter 1: Problem 127 Chemistry: A Molecular Approach 5The diameter of a hydrogen atom is 212 pm. Find the length in kilometers of a row of \(6.02 \times 10^{23}\) hydrogen atoms. The diameter of a ping pong ball is 4.0 cm. Find the length in kilometers of a row of \(6.02 \times 10^{23}\) ping pong balls. Text Transcription: 6.02 times 10^23 6.02 times 10^23
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Chapter 1: Problem 131 Chemistry: A Molecular Approach 5A length of #8 copper wire (radius = 1.63 mm) has a mass of 24.0 kg and a resistance of 2.061 ohm per km \((\Omega / \mathrm{km})\). What is the overall resistance of the wire? Text Transcription: (Omega /km)
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Chapter 1: Problem 133 Chemistry: A Molecular Approach 5Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 175 L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 175 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured \(10.00 \mathrm{m} \times 10.00 \mathrm{m} \times 2.50 \mathrm{m}\). What maximum fraction of the air in the room could be displaced by the gaseous nitrogen? Text Transcription: 10.00 m times 10.00 m times 2.50 m
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Chapter 1: Problem 134 Chemistry: A Molecular Approach 5Mercury is often used in thermometers. The mercury sits in a bulb on the bottom of the thermometer and rises up a thin capillary as the temperature rises. Suppose a mercury thermometer contains 3.380 g of mercury and has a capillary that is 0.200 mm in diameter. How far does the mercury rise in the capillary when the temperature changes from \(0.0^{\circ} \mathrm{C}\) to \(25.0^{\circ} \mathrm{C}\)? The density of mercury at these temperatures is \(13.596 \mathrm{g} / \mathrm{cm}^{3}\) and \(13.534 \mathrm{g} / \mathrm{cm}^{3}\), respectively. Text Transcription: 0.0^circ C 25.0^circ C 13.596 g/cm^3 13.534 g/cm^3
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Chapter 1: Problem 135 Chemistry: A Molecular Approach 5A force of \(2.31 \times 10^{4} \mathrm{N}\) is applied to a diver’s face mask that has an area of \(125 \mathrm{cm}^{2}\). Find the pressure in atm on the face mask. Text Transcription: 2.31 times 10^4 N 125 cm^2
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Chapter 1: Problem 136 Chemistry: A Molecular Approach 5The SI unit of force is the newton, derived from the base units by using the definition of force, F = ma. The dyne is a non-SI unit of force in which mass is measured in grams and time is measured in seconds. The relationship between the two units is \(1 \text { dyne }=10^{-5} \mathrm{N}\). Find the unit of length used to define the dyne. Text Transcription: 1 dyne =10^-5 N
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Chapter 1: Problem 137 Chemistry: A Molecular Approach 5Kinetic energy can be defined as \(\frac{1}{2} m v^{2}\) or as \(\frac{3}{2} P V\). Show that the derived SI units of each of these terms are those of energy. (Pressure is force/area and force is mass : acceleration.) Text Transcription: 1/2 m v^2 3/2 P V
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Chapter 1: Problem 138 Chemistry: A Molecular Approach 5In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun that occupy less space than our moon. Suppose that one of these black holes has a mass of \(1 \times 10^{3}\) suns and a radius equal to one-half the radius of our moon. What is the density of the black hole in \(\mathrm{g} / \mathrm{cm}^{3}\)? The radius of our sun is \(7.0 \times 10^{5} \mathrm{km}\), and it has an average density of \(1.4 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3}\). The diameter of the moon is \(2.16 \times 10^{3} \mathrm{mi}\). Text Transcription: 1 times 10^3 g/cm^3 7.0 times 10^5 km 1.4 times 10^3 kg/m^3 2.16 times 10^3 mi
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Chapter 1: Problem 139 Chemistry: A Molecular Approach 5Suppose that polluted air has carbon monoxide (CO) levels of 15.0 ppm. An average human inhales about 0.50 L of air per breath and takes about 20 breaths per minute. How many milligrams of carbon monoxide does the average person inhale in an 8-hour period at this level of carbon monoxide pollution? Assume that the carbon monoxide has a density of 1.2 g/L. (Hint: 15.0 ppm CO means 15.0 L CO per \(10^{6} \mathrm{L}\) air.) Text Transcription: 10^6 L
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Chapter 1: Problem 141 Chemistry: A Molecular Approach 5Approximate the percent increase in waist size that occurs when a 155-lb person gains 40.0 lb of fat. Assume that the volume of the person can be modeled by a cylinder that is 4.0 ft tall. The average density of a human is about \(1.0 \mathrm{g} / \mathrm{cm}^{3}\), and the density of fat is \(0.918 \mathrm{g} / \mathrm{cm}^{3}\). Text Transcription: 1.0 g/cm^3 0.918 g/cm^3
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Chapter 1: Problem 142 Chemistry: A Molecular Approach 5A box contains a mixture of small copper spheres and small lead spheres. The total volume of both metals is measured by the displacement of water to be \(427 \mathrm{cm}^{3}\), and the total mass is 4.36 kg. What percentage of the spheres are copper? Text Transcription: 427 cm^3
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Chapter 1: Problem 144 Chemistry: A Molecular Approach 5The diagram shown first represents solid carbon dioxide, also known as dry ice. Which of the other diagrams best represents the dry ice after it has sublimed into a gas?
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Chapter 1: Problem 146 Chemistry: A Molecular Approach 5Substance A has a density of \(1.7 \mathrm{g} / \mathrm{cm}^{3}\). Substance B has a density of \(1.7 \mathrm{g} / \mathrm{cm}^{3}\). Without doing any calculations, determine which substance is more dense. Text Transcription: 1.7 g/cm^3 1.7 g/cm^3
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Chapter 1: Problem 147 Chemistry: A Molecular Approach 5For each box, examine the blocks attached to the balances. Based on their positions and sizes, determine which block is more dense (the dark block or the lighter-colored block), or if the relative densities cannot be determined. (Think carefully about the information being shown.)
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Chapter 1: Problem 153 Chemistry: A Molecular Approach 5One inch is equal to 2.54 cm. Draw a line that is 1 in long, and mark the centimeters on the line. Draw a cube that is 1 in on each side. Draw lines on each face of the cube that are 1 cm apart. How many cubic centimeters are there in \(1 \mathrm{in}^{3}\)? Text Transcription: 1 in^3
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Chapter 1: Problem 155 Chemistry: A Molecular Approach 5The density of a substance can change with temperature. The graph that follows displays the density of water from \(-150^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\). Examine the graph and answer the questions. a. Water undergoes a large change in density at \(0^{\circ} \mathrm{C}\) as it freezes to form ice. Calculate the percent change in density that occurs when liquid water freezes to ice at \(0^{\circ} \mathrm{C}\). \(\left(\text { Hint: } \% \text { change }=\frac{\text { final value }-\text { initial value }}{\text { initial value }} \times 100 \%\right)\) b. Calculate the volume \(\left(\text { in } \mathrm{cm}^{3}\right)\) of 54 g of water at \(1^{\circ} \mathrm{C}\) and the volume of the same mass of ice at \(-1^{\circ} \mathrm{C}\). What is the change in volume? c. Antarctica contains 26.5 million cubic kilometers of ice. Assume the temperature of the ice is \(-20^{\circ} \mathrm{C}\). If all of this ice were heated to \(1^{\circ} \mathrm{C}\) and melted to form water, what volume of liquid water would form? d. A 1.00-L sample of water is heated from \(1^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\). What is the volume of the water after it is heated? Text Transcription: -150^circ C 100^circ C 0^circ C 0^circ C (Hint: % change = frac final value - initial value / initial value times 100%) (in cm^3) 1^circ C -1^circ C -20^circ C 1^circ C 1^circ C 100^circ C
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Chapter 1: Problem 1 Chemistry: A Molecular Approach 5Explain this statement in your own words and give an example. The properties of the substances around us depend on the atoms and molecules that compose them.
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Chapter 1: Problem 2 Chemistry: A Molecular Approach 5Explain the main goal of chemistry.
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Chapter 1: Problem 3 Chemistry: A Molecular Approach 5Describe the scientific approach to knowledge. How does it differ from other approaches?
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Chapter 1: Problem 4 Chemistry: A Molecular Approach 5Explain the differences between a hypothesis, a law, and a theory.
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Chapter 1: Problem 5 Chemistry: A Molecular Approach 5What observations did Antoine Lavoisier make? What law did he formulate?
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Chapter 1: Problem 6 Chemistry: A Molecular Approach 5What theory did John Dalton formulate?
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Chapter 1: Problem 7 Chemistry: A Molecular Approach 5What is wrong with the expression “That is just a theory,” if by theory the speaker is referring to a scientific theory?
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Chapter 1: Problem 8 Chemistry: A Molecular Approach 5What are two different ways to classify matter?
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Chapter 1: Problem 9 Chemistry: A Molecular Approach 5How do solids, liquids, and gases differ?
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Chapter 1: Problem 10 Chemistry: A Molecular Approach 5What is the difference between a crystalline solid and an amorphous solid?
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Chapter 1: Problem 11 Chemistry: A Molecular Approach 5Explain the difference between a pure substance and a mixture.
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Chapter 1: Problem 12 Chemistry: A Molecular Approach 5Explain the difference between an element and a compound.
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Chapter 1: Problem 13 Chemistry: A Molecular Approach 5Explain the difference between a homogeneous and a heterogeneous mixture.
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Chapter 1: Problem 14 Chemistry: A Molecular Approach 5What kind of mixtures can be separated by filtration?
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Chapter 1: Problem 15 Chemistry: A Molecular Approach 5Explain how distillation is used to separate mixtures.
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Chapter 1: Problem 16 Chemistry: A Molecular Approach 5What is the difference between a physical property and a chemical property?
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Chapter 1: Problem 17 Chemistry: A Molecular Approach 5What is the difference between a physical change and a chemical change? List some examples of each.
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Chapter 1: Problem 18 Chemistry: A Molecular Approach 5Explain the significance of the law of conservation of energy.
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Chapter 1: Problem 19 Chemistry: A Molecular Approach 5What kind of energy is chemical energy? In what way is an elevated weight similar to a tank of gasoline?
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Chapter 1: Problem 20 Chemistry: A Molecular Approach 5What are the standard SI base units of length, mass, time, and temperature?
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Chapter 1: Problem 21 Chemistry: A Molecular Approach 5What are the three common temperature scales? Does the size of a degree differ among them?
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Chapter 1: Problem 22 Chemistry: A Molecular Approach 5What are prefix multipliers? List some examples.
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Chapter 1: Problem 23 Chemistry: A Molecular Approach 5What is a derived unit? List an example.
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Chapter 1: Problem 24 Chemistry: A Molecular Approach 5Explain the difference between density and mass.
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Chapter 1: Problem 25 Chemistry: A Molecular Approach 5Explain the difference between intensive and extensive properties.
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Chapter 1: Problem 26 Chemistry: A Molecular Approach 5What is the meaning of the number of digits reported in a measured quantity?
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Chapter 1: Problem 27 Chemistry: A Molecular Approach 5When multiplying or dividing measured quantities, what determines the number of significant figures in the result?
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Chapter 1: Problem 28 Chemistry: A Molecular Approach 5When adding or subtracting measured quantities, what determines the number of significant figures in the result?
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Chapter 1: Problem 29 Chemistry: A Molecular Approach 5What are the rules for rounding off the results of calculations?
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Chapter 1: Problem 30 Chemistry: A Molecular Approach 5Explain the difference between precision and accuracy.
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Chapter 1: Problem 31 Chemistry: A Molecular Approach 5Explain the difference between random error and systematic error.
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Chapter 1: Problem 33 Chemistry: A Molecular Approach 5Classify each statement as an observation, a law, or a theory. a. All matter is made of tiny, indestructible particles called atoms. b. When iron rusts in a closed container, the mass of the container and its contents does not change. c. In chemical reactions, matter is neither created nor destroyed. d. When a match burns, heat is released.
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Chapter 1: Problem 34 Chemistry: A Molecular Approach 5Classify each statement as an observation, a law, or a theory. a. Chlorine is a highly reactive gas. b. If elements are listed in order of increasing mass of their atoms, their chemical reactivities follow a repeating pattern. c. Neon is an inert (or nonreactive) gas. d. The reactivity of elements depends on the arrangement of their electrons.
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Chapter 1: Problem 36 Chemistry: A Molecular Approach 5When astronomers observe distant galaxies, they can tell that most of them are moving away from one another. In addition, the more distant the galaxies, the more rapidly they are likely to be moving away from each other. Can you devise a hypothesis to explain these observations?
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Chapter 1: Problem 37 Chemistry: A Molecular Approach 5Classify each substance as a pure substance or a mixture. If it is a pure substance, classify it as an element or a compound. If it is a mixture, classify it as homogeneous or heterogeneous. a. sweat b. carbon dioxide c. aluminum d. vegetable soup
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Chapter 1: Problem 38 Chemistry: A Molecular Approach 5Classify each substance as a pure substance or a mixture. If it is a pure substance, classify it as an element or a compound. If it is a mixture, classify it as homogeneous or heterogeneous. a. wine b. beef stew c. iron d. carbon monoxide
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Chapter 1: Problem 43 Chemistry: A Molecular Approach 5Classify each of the listed properties of isopropyl alcohol (also known as rubbing alcohol) as physical or chemical. a. colorless b. flammable c. liquid at room temperature d. density = 0.79 g>mL e. mixes with water
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Chapter 1: Problem 44 Chemistry: A Molecular Approach 5Classify each of the listed properties of ozone (a pollutant in the lower atmosphere but part of a protective shield against UV light in the upper atmosphere) as physical or chemical. a. bluish color b. pungent odor c. very reactive d. decomposes on exposure to ultraviolet light e. gas at room temperature
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Chapter 1: Problem 45 Chemistry: A Molecular Approach 5Classify each property as physical or chemical. a. the tendency of ethyl alcohol to burn b. the shine on silver c. the odor of paint thinner d. the flammability of propane gas
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Chapter 1: Problem 46 Chemistry: A Molecular Approach 5Classify each property as physical or chemical. a. the boiling point of ethyl alcohol b. the temperature at which dry ice evaporates c. the tendency of iron to rust d. the color of gold
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Chapter 1: Problem 47 Chemistry: A Molecular Approach 5Classify each change as physical or chemical. a. Natural gas burns in a stove. b. The liquid propane in a gas grill evaporates because the valve was left open. c. The liquid propane in a gas grill burns in a flame. d. A bicycle frame rusts on repeated exposure to air and water.
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Chapter 1: Problem 48 Chemistry: A Molecular Approach 5Classify each change as physical or chemical. a. Sugar burns when heated in a skillet. b. Sugar dissolves in water. c. A platinum ring becomes dull because of continued abrasion. d. A silver surface becomes tarnished after exposure to air for a long period of time.
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Chapter 1: Problem 61 Chemistry: A Molecular Approach 5Express the quantity 254,998 m in each unit. a. km b. Mm c. mm d. cm
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Chapter 1: Problem 63 Chemistry: A Molecular Approach 5How many 1-cm squares would it take to construct a square that is 1 m on each side?
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Chapter 1: Problem 64 Chemistry: A Molecular Approach 5How many 1-cm cubes would it take to construct a cube that is 4 cm on edge?
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Chapter 1: Problem 68 Chemistry: A Molecular Approach 5A supposedly gold nugget displaces 19.3 mL of water and has a mass of 371 g. Could the nugget be made of gold?
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Chapter 1: Problem 71 Chemistry: A Molecular Approach 5A small airplane takes on 245 L of fuel. If the density of the fuel is 0.821 g/mL, what mass of fuel has the airplane taken on?
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Chapter 1: Problem 75 Chemistry: A Molecular Approach 5For each number, underline the zeroes that are significant and draw an x through the zeroes that are not. a. 1,050,501 km b. 0.0020 m c. 0.000000000000002 s d. 0.001090 cm
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Chapter 1: Problem 76 Chemistry: A Molecular Approach 5For each number, underline the zeroes that are significant and draw an x through the zeroes that are not. a. 180,701 mi b. 0.001040 m c. 0.005710 km d. 90,201 m
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Chapter 1: Problem 81 Chemistry: A Molecular Approach 5Round each number to four significant figures. a. 156.852 b. 156.842 c. 156.849 d. 156.899
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Chapter 1: Problem 85 Chemistry: A Molecular Approach 5Calculate to the correct number of significant figures. a. 43.7 - 2.341 b. 17.6 + 2.838 + 2.3 + 110.77 c. 19.6 + 58.33 - 4.974 d. 5.99 - 5.572
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Chapter 1: Problem 86 Chemistry: A Molecular Approach 5Calculate to the correct number of significant figures. a. 0.004 + 0.09879 b. 1239.3 + 9.73 + 3.42 c. 2.4 - 1.777 d. 532 + 7.3 - 48.523
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Chapter 1: Problem 89 Chemistry: A Molecular Approach 5A flask containing 11.7 mL of a liquid weighs 132.8 g with the liquid in the flask and 124.1 g when empty. Calculate the density of the liquid in g/mL to the correct number of significant digits.
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Chapter 1: Problem 90 Chemistry: A Molecular Approach 5A flask containing 9.55 mL of a liquid weighs 157.2 g with the liquid in the flask and 148.4 g when empty. Calculate the density of the liquid in g/mL to the correct number of significant digits.
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Chapter 1: Problem 93 Chemistry: A Molecular Approach 5Perform each unit conversion. a. 154 cm to in b. 3.14 kg to g c. 3.5 L to qt d. 109 mm to in
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Chapter 1: Problem 94 Chemistry: A Molecular Approach 5Perform each unit conversion. a. 1.4 in to mm b. 116 ft to cm c. 1845 kg to lb d. 815 yd to km
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Chapter 1: Problem 95 Chemistry: A Molecular Approach 5A runner wants to run 10.0 km. Her running pace is 7.5 mi per hour. How many minutes must she run?
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Chapter 1: Problem 96 Chemistry: A Molecular Approach 5A cyclist rides at an average speed of 18 mi per hour. If she wants to bike 212 km, how long (in hours) must she ride?
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Chapter 1: Problem 97 Chemistry: A Molecular Approach 5A certain European automobile has a gas mileage of 17 km/L. What is the gas mileage in miles per gallon?
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Chapter 1: Problem 103 Chemistry: A Molecular Approach 5An 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.)
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Chapter 1: Problem 104 Chemistry: A Molecular Approach 5An 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.)
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Chapter 1: Problem 105 Chemistry: A Molecular Approach 5There 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.
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Chapter 1: Problem 106 Chemistry: A Molecular Approach 5Determine the number of picoseconds in 2.0 hours.
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Chapter 1: Problem 107 Chemistry: A Molecular Approach 5Classify each property as intensive or extensive. a. volume b. boiling point c. temperature d. electrical conductivity e. energy
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Chapter 1: Problem 108 Chemistry: A Molecular Approach 5At what temperatures are the readings on the Fahrenheit and Celsius thermometers the same?
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Chapter 1: Problem 114 Chemistry: A Molecular Approach 5The 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?
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Chapter 1: Problem 120 Chemistry: A Molecular Approach 5A solid aluminum sphere has a mass of 85 g. Use the density of aluminum to find the radius of the sphere in inches.
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Chapter 1: Problem 123 Chemistry: A Molecular Approach 5The 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?
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Chapter 1: Problem 124 Chemistry: A Molecular Approach 5The 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.
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Chapter 1: Problem 128 Chemistry: A Molecular Approach 5The world record in the men’s 100-m dash is 9.58 s, and in the 100-yd dash it is 9.07 s. Find the speed in mi/hr of the runners who set these records. (Assume three significant figures for 100 m and 100 yd.)
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Chapter 1: Problem 129 Chemistry: A Molecular Approach 5Table salt contains 39.33 g of sodium per 100 g of salt. The U.S. Food and Drug Administration (FDA) recommends that adults consume less than 2.40 g of sodium per day. A particular snack mix contains 1.25 g of salt per 100 g of the mix. What mass of the snack mix can an adult consume and still be within the FDA limit? (Assume three significant figures for 100 g.)
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Chapter 1: Problem 130 Chemistry: A Molecular Approach 5Lead metal can be extracted from a mineral called galena, which contains 86.6% lead by mass. A particular ore contains 68.5% galena by mass. If the lead can be extracted with 92.5% efficiency, what mass of ore is required to make a lead sphere with a 5.00-cm radius?
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Chapter 1: Problem 132 Chemistry: A Molecular Approach 5Rolls of aluminum foil are 304 mm wide and 0.016 mm thick. What maximum length of aluminum foil can be made from 1.10 kg of aluminum?
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Chapter 1: Problem 140 Chemistry: A Molecular Approach 5Nanotechnology, the field of building ultrasmall structures one atom at a time, has progressed in recent years. One potential application of nanotechnology is the construction of artificial cells. The simplest cells would probably mimic red blood cells, the body’s oxygen transporters. Nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen and injected into a person’s bloodstream. If the person needed additional oxygen—due to a heart attack perhaps, or for the purpose of space travel—these containers could slowly release oxygen into the blood, allowing tissues that would otherwise die to remain alive. Suppose that the nanocontainers were cubic and had an edge length of 25 nm. a. What is the volume of one nanocontainer? (Ignore the thickness of the nanocontainer’s wall.) b. Suppose that each nanocontainer could contain pure oxygen pressurized to a density of 85 g/L. How many grams of oxygen could each nanocontainer contain? c. Air typically contains about 0.28 g of oxygen per liter. An average human inhales about 0.50 L of air per breath and takes about 20 breaths per minute. How many grams of oxygen does a human inhale per hour? (Assume two significant figures.) d. What is the minimum number of nanocontainers that a person would need in his or her bloodstream to provide 1 hour’s worth of oxygen? e. What is the minimum volume occupied by the number of nanocontainers calculated in part d? Is such a volume feasible, given that total blood volume in an adult is about 5 L?
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Chapter 1: Problem 143 Chemistry: A Molecular Approach 5A volatile liquid (one that easily evaporates) is put into a jar, and the jar is then sealed. Does the mass of the sealed jar and its contents change upon the vaporization of the liquid?
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Chapter 1: Problem 145 Chemistry: A Molecular Approach 5A cube has an edge length of 7 cm. If it is divided into 1-cm cubes, how many 1-cm cubes are there?
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Chapter 1: Problem 148 Chemistry: A Molecular Approach 5Let a triangle represent atoms of element A and a circle represent atoms of element B. a. Draw an atomic-level view of a homogeneous mixture of elements A and B. b. Draw an atomic view of the compound AB in a liquid state (molecules close together). c. Draw an atomic view of the compound AB after it has undergone a physical change (such as evaporation). d. Draw an atomic view of the compound after it has undergone a chemical change (such as decomposition of AB into A and B).
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Chapter 1: Problem 149 Chemistry: A Molecular Approach 5Identify each statement as being most like an observation, a law, or a theory. a. All coastal areas experience two high tides and two low tides each day. b. The tides in Earth’s oceans are caused mainly by the gravitational attraction of the moon. c. Yesterday, high tide in San Francisco Bay occurred at 2:43 a.m. and 3:07 p.m. d. Tides are higher at the full moon and new moon than at other times of the month.
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Chapter 1: Problem 150 Chemistry: A Molecular Approach 5Using white and black circles to represent different kinds of atoms, make a drawing that accurately represents each sample of matter: a solid element, a liquid compound, and a heterogeneous mixture. Make a drawing (clearly showing before and after) depicting your liquid compound undergoing a physical change. Make a drawing depicting your solid element undergoing a chemical change.
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Chapter 1: Problem 151 Chemistry: A Molecular Approach 5Look up the measurement of the approximate thickness of a human hair. a. Convert the measurement to an SI unit (if it isn’t already). b. Write it in scientific notation. c. Write it without scientific notation. d. Write it with an appropriate prefix on a base unit. Now repeat these steps using the distance from Earth to the sun.
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Chapter 1: Problem 152 Chemistry: A Molecular Approach 5The following statements are all true. a. Jessica’s house is 5 km from the grocery store. b. Jessica’s house is 4.73 km from the grocery store. c. Jessica’s house is 4.73297 km from the grocery store. How can all the statements be true? What does the number of digits in each statement communicate? What sort of device would Jessica need to make the measurement in each statement?
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Chapter 1: Problem 154 Chemistry: A Molecular Approach 5Convert the height of each member in your group from feet and inches to meters. Once you have your heights in meters, calculate the sum of all the heights. Use appropriate rules for significant figures at each step.
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