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32 Chemistry: The Study of ChangeElectronic Homework ProblemsThe following problems are available at www.aris.mhhe.comif assigned by your instructor as electronic homework.Quantum Tutor problems are also available at the same site.ARIS Problems: 1.12, 1.16, 1.22, 1.29, 1.31, 1.33,1.35, 1.36, 1.39, 1.40, 1.44, 1.45, 1.48, 1.56, 1.57, 1.58,1.61, 1.63, 1.64, 1.65, 1.66, 1.67, 1.76, 1.78, 1.79, 1.80,1.81, 1.83, 1.88, 1.92, 1.93, 1.94, 1.105.Quantum Tutor Problems: 1.29, 1.30, 1.33, 1.34.Questions and ProblemsThe Scientifi c MethodReview Questions1.1 Explain what is meant by the scientifi c method.1.2 What is the difference between qualitative data andquantitative data?Problems1.3 Classify the following as qualitative or quantitativestatements, giving your reasons. (a) The sun is approximately93 million mi from Earth. (b) Leonardo daVinci was a better painter than Michelangelo. (c) Ice isless dense than water. (d) Butter tastes better than margarine.(e) A stitch in time saves nine.1.4 Classify each of the following statements as a hypothesis,a law, or a theory. (a) Beethovens contributionto music would have been much greater if he had married.(b) An autumn leaf gravitates toward the groundbecause there is an attractive force between the leafand Earth. (c) All matter is composed of very smallparticles called atoms.Classifi cation and Properties of MatterReview Questions1.5 Give an example for each of the following terms:(a) matter, (b) substance, (c) mixture.1.6 Give an example of a homogeneous mixture and anexample of a heterogeneous mixture.1.7 Using examples, explain the difference between aphysical property and a chemical property.1.8 How does an intensive property differ from an extensiveproperty? Which of the following properties are intensiveand which are extensive? (a) length, (b) volume,(c) temperature, (d) mass.1.9 Give an example of an element and a compound. Howdo elements and compounds differ?1.10 What is the number of known elements?Problems1.11 Do the following statements describe chemical orphysical properties? (a) Oxygen gas supports combustion.(b) Fertilizers help to increase agricultural production.(c) Water boils below 100C on top of amountain. (d) Lead is denser than aluminum. (e) Uraniumis a radioactive element.1.12 Does each of the following describe a physical changeor a chemical change? (a) The helium gas inside a balloontends to leak out after a few hours. (b) A fl ashlightbeam slowly gets dimmer and fi nally goes out.(c) Frozen orange juice is reconstituted by adding waterto it. (d) The growth of plants depends on the sunsenergy in a process called photosynthesis. (e) Aspoonful of table salt dissolves in a bowl of soup.1.13 Give the names of the elements represented by thechemical symbols Li, F, P, Cu, As, Zn, Cl, Pt, Mg, U,Al, Si, Ne. (See Table 1.1 and the inside front cover.)1.14 Give the chemical symbols for the following elements:(a) potassium, (b) tin, (c) chromium, (d) boron,(e) barium, (f) plutonium, (g) sulfur, (h) argon,(i) mercury. (See Table 1.1 and the inside front cover.)1.15 Classify each of the following substances as an elementor a compound: (a) hydrogen, (b) water, (c) gold,(d) sugar.1.16 Classify each of the following as an element, a compound,a homogeneous mixture, or a heterogeneousmixture: (a) seawater, (b) helium gas, (c) sodiumchloride (table salt), (d) a bottle of soft drink, (e) amilkshake, (f) air in a bottle, (g) concrete.MeasurementReview Questions1.17 Name the SI base units that are important in chemistry.Give the SI units for expressing the following:(a) length, (b) volume, (c) mass, (d) time, (e) energy,(f) temperature.
1.18 Write the numbers represented by the following prefixes: (a) mega-, (b) kilo-, (c) deci-, (d) centi-, (e) milli-,(f) micro-, (g) nano-, (h) pico-.1.19 What units do chemists normally use for density ofliquids and solids? For gas density? Explain thedifferences.1.20 Describe the three temperature scales used in the laboratoryand in everyday life: the Fahrenheit scale, theCelsius scale, and the Kelvin scale.Problems1.21 Bromine is a reddish-brown liquid. Calculate its density(in g/mL) if 586 g of the substance occupies 188 mL.1.22 The density of ethanol, a colorless liquid that is commonlyknown as grain alcohol, is 0.798 g/mL. Calculatethe mass of 17.4 mL of the liquid.1.23 Convert the following temperatures to degrees Celsiusor Fahrenheit: (a) 95F, the temperature on a hotsummer day; (b) 12F, the temperature on a cold winterday; (c) a 102F fever; (d) a furnace operating at1852F; (e) 2273.15C (theoretically the lowest attainabletemperature).1.24 (a) Normally the human body can endure a temperatureof 105F for only short periods of time withoutpermanent damage to the brain and other vital organs.What is this temperature in degrees Celsius? (b) Ethyleneglycol is a liquid organic compound that is usedas an antifreeze in car radiators. It freezes at 211.5C.Calculate its freezing temperature in degrees Fahrenheit.(c) The temperature on the surface of the sun isabout 6300C. What is this temperature in degreesFahrenheit? (d) The ignition temperature of paper is451F. What is the temperature in degrees Celsius?1.25 Convert the following temperatures to kelvin:(a) 113C, the melting point of sulfur, (b) 37C, thenormal body temperature, (c) 357C, the boiling pointof mercury.1.26 Convert the following temperatures to degrees Celsius:(a) 77 K, the boiling point of liquid nitrogen,(b) 4.2 K, the boiling point of liquid helium, (c) 601 K,the melting point of lead.Handling NumbersReview Questions1.27 What is the advantage of using scientifi c notation overdecimal notation?1.28 Defi ne signifi cant fi gure. Discuss the importance ofusing the proper number of signifi cant fi gures in measurementsand calculations.Problems1.29 Express the following numbers in scientifi c notation:(a) 0.000000027, (b) 356, (c) 47,764, (d) 0.096.1.30 Express the following numbers as decimals:(a) 1.52 3 1022, (b) 7.78 3 1028.1.31 Express the answers to the following calculations inscientifi c notation:(a) 145.75 1 (2.3 3 1021)(b) 79,500 4 (2.5 3 102)(c) (7.0 3 1023) 2 (8.0 3 1024)(d) (1.0 3 104) 3 (9.9 3 106)1.32 Express the answers to the following calculations inscientifi c notation:(a) 0.0095 1 (8.5 3 1023)(b) 653 4 (5.75 3 1028)(c) 850,000 2 (9.0 3 105)(d) (3.6 3 1024) 3 (3.6 3 106)1.33 What is the number of signifi cant fi gures in each ofthe following measurements?(a) 4867 mi(b) 56 mL(c) 60,104 ton(d) 2900 g(e) 40.2 g/cm3(f ) 0.0000003 cm(g) 0.7 min(h) 4.6 3 1019 atoms1.34 How many signifi cant fi gures are there in each of thefollowing? (a) 0.006 L, (b) 0.0605 dm, (c) 60.5 mg,(d) 605.5 cm2, (e) 960 3 1023 g, (f ) 6 kg, (g) 60 m.1.35 Carry out the following operations as if they were calculationsof experimental results, and express eachanswer in the correct units with the correct number ofsignifi cant fi gures:(a) 5.6792 m 1 0.6 m 1 4.33 m(b) 3.70 g 2 2.9133 g(c) 4.51 cm 3 3.6666 cm(d) (3 3 104 g 1 6.827 g)y(0.043 cm3 2 0.021 cm3)1.36 Carry out the following operations as if they were calculationsof experimental results, and express eachanswer in the correct units with the correct number ofsignifi cant fi gures:(a) 7.310 km 4 5.70 km(b) (3.26 3 1023 mg) 2 (7.88 3 1025 mg)(c) (4.02 3 106 dm) 1 (7.74 3 107 dm)(d) (7.8 m 2 0.34 m)y(1.15 s 1 0.82 s)1.37 Three students (A, B, and C) are asked to determinethe volume of a sample of ethanol. Each student measuresthe volume three times with a graduated cylinder.The results in milliliters are: A (87.1, 88.2, 87.6);B (86.9, 87.1, 87.2); C (87.6, 87.8, 87.9). The truevolume is 87.0 mL. Comment on the precision1.38 Three apprentice tailors (X, Y, and Z) are assignedthe task of measuring the seam of a pair of trousers.Each one makes three measurements. The results ininches are X (31.5, 31.6, 31.4); Y (32.8, 32.3, 32,7);Z (31.9, 32.2, 32.1). The true length is 32.0 in. Commenton the precision and the accuracy of each tailorsmeasurements.Dimensional AnalysisProblems1.39 Carry out the following conversions: (a) 22.6 m todecimeters, (b) 25.4 mg to kilograms, (c) 556 mL toliters, (d) 10.6 kg/m3 to g/cm3.1.40 Carry out the following conversions: (a) 242 lb tomilligrams, (b) 68.3 cm3 to cubic meters, (c) 7.2 m3to liters, (d) 28.3 mg to pounds.1.41 The average speed of helium at 25C is 1255 m/s.Convert this speed to miles per hour (mph).1.42 How many seconds are there in a solar year (365.24days)?1.43 How many minutes does it take light from the sun toreach Earth? (The distance from the sun to Earth is93 million mi; the speed of light 5 3.00 3 108 m/s.)1.44 A slow jogger runs a mile in 13 min. Calculate thespeed in (a) in/s, (b) m/min, (c) km/h. (1 mi 5 1609 m;1 in 5 2.54 cm.)1.45 A 6.0-ft person weighs 168 lb. Express this personsheight in meters and weight in kilograms. (1 lb 5453.6 g; 1 m 5 3.28 ft.)1.46 The current speed limit in some states in the UnitedStates is 55 miles per hour. What is the speed limit inkilometers per hour? (1 mi 5 1609 m.)1.47 For a fi ghter jet to take off from the deck of an aircraftcarrier, it must reach a speed of 62 m/s. Calculate thespeed in miles per hour (mph).1.48 The normal lead content in human blood is about0.40 part per million (that is, 0.40 g of lead per milliongrams of blood). A value of 0.80 part per million (ppm)is considered to be dangerous. How many grams oflead are contained in 6.0 3 103 g of blood (the amountin an average adult) if the lead content is 0.62 ppm?1.49 Carry out the following conversions: (a) 1.42 lightyearsto miles (a light-year is an astronomical measureof distancethe distance traveled by light in a year,or 365 days; the speed of light is 3.00 3 108 m/s),(b) 32.4 yd to centimeters, (c) 3.0 3 1010 cm/s to ft/s.1.50 Carry out the following conversions: (a) 185 nm tometers. (b) 4.5 billion years (roughly the age ofEarth) to seconds. (Assume there are 365 days in ayear.) (c) 71.2 cm3 to m3. (d) 88.6 m3 to liters.1.51 Aluminum is a lightweight metal (density 5 2.70 g/cm3)used
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