CHAPTER 4 CHAPTER 4 Study Guide Study Guide Key Concepts 4.1 Defining the Atom • Democritus believed that atoms were indivisible and indestructible. • By using experimental methods, Dalton transformed Democritus's ideas on atoms into a scientific theory. • Scientists can observe individual atoms by using instruments such as scanning tunneling microscopes. 4.3 Distinguishing Among Atoms • Elements are different because they have different numbers of protons. • The number of neutrons in an atom is the difference between the mass number and atomic number. • Because isotopes of an element have different numbers of neutrons, they also have different mass numbers. • To calculate the atomic mass of an element, multiply the mass of each isotope by its natural percent abundance (expressed as a decimal), and then add the products. • The periodic table lets you easily compare the properties of one element (or a group of elements) to another element (or group of elements). 4.2 Structure of the Nuclear Atom • Three types of subatomic particles are electrons, protons, and neutrons. • In the nuclear atom, the protons and neutrons are located in the nucleus. The electrons are distributed around the nucleus and occupy almost all the volume of the atom. Vocabulary • • • • • atom (p. 101) atomic mass (p. 115) atomic mass unit (amu) (p. 114) atomic number (p. 110) cathode ray (p. 104) • • • • • Dalton’s atomic theory (p. 102) electron (p. 104) group (p. 118) isotopes (p. 112) mass number (p. 111) • • • • • neutron (p. 106) nucleus (p. 107) period (p. 118) periodic table (p. 118) proton (p. 106) Study Tip Organize New Information Tell students: Use a reading strategy that you practiced in this chapter to organize the subject matter in a way that helps you study. For example, if you have trouble remembering all the new vocabulary, try listing the new terms and defining them in your own words. [Interactive Textbook with ChemASAP icon] If your class subscribes to the Interactive Textbook with ChemASAP, your students can go online to address an interactive version of the Student Edition and a self-test. with ChemASAP Key Equation • number of neutrons mass number atomic number Organizing Information Use these terms to construct a concept map that organizes the main ideas of this chapter. atom electron isotope Concept Map 4 Solve the Concept map with the help of an interactive guided tutorial. proton nucleus atomic mass neutron mass number atomic number with ChemASAP Study Guide 121 Chapter Resources Print • Core Teaching Resources, Chapter 4, Practice Problems, Vocabulary Review, Quiz, Chapter Test A, Chapter Test B Technology • Computer Test Bank, Chapter 4 Test • Interactive Textbook with ChemASAP, Chapter 4 • Virtual Chem Labs, Labs 1, 2, 3 Atomic Structure 121 CHAPTER CHAPTER 4 Assessment 4 Assessment Reviewing Content 45. In the Rutherford atomic model, which sub- 4.1 Defining the Atom atomic particles are located in the nucleus? 34. What is an atom? 35. What were the limitations of Democritus’s ideas 34. The smallest particle of an element that still has the properties of that element. 35. Democritus’s ideas were not helpful in explaining chemical behavior because they lacked experimental support. 36. Dalton would agree with all four statements because they all fit his atomic theory. 37. The atoms are separated, joined, and rearranged. 38. a. A beam of electrons (cathode rays) is deflected by an electric field toward the positively charged plate. b. The cathode rays were always composed of electrons regardless of the metal used in the electrodes or the gas used in the cathode-ray tube. 39. repel 40. The mass of the proton and neutron are equal; protons are positively charged and neutrons are neutral. 41. Atoms are neutral: number of protons = number of electrons. Loss of an electron means that the number of p+ is greater than the number of e–, so the remaining particle is positively charged. 42. The electrons were stuck in a lump of positive charge. 43. He did not expect alpha particles to be deflected at a large angle. 44. positive 45. protons and neutrons (Rutherford suspected there was something in the nucleus in addition to protons—but didn’t know them as neutrons.) 46. It has equal numbers of protons and electrons. 47. the number of protons in the nucleus 48. a. 15 b. 42 c. 13 d. 48 e. 24 f. 82 49. The atomic number is the number of protons. The mass number is the sum of the protons and neutrons. 122 Chapter 4 about atoms? 4.3 Distinguishing Among Atoms 46. Why is an atom electrically neutral? 36. With which of these statements would John 47. What does the atomic number of each atom Dalton have agreed in the early 1800s? For each, explain why or why not. a. Atoms are the smallest particles of matter. b. The mass of an iron atom is different from the mass of a copper atom. c. Every atom of silver is identical to every other atom of silver. d. A compound is composed of atoms of two or more different elements. 37. Use Dalton’s atomic theory to describe how represent? 48. How many protons are in the nuclei of the fol- lowing atoms? phosphorus molybdenum aluminum cadmium chromium lead a. b. c. d. e. f. 49. What is the difference between the mass number atoms interact during a chemical reaction. and the atomic number of an atom? 4.2 Structure of the Nuclear Atom 50. Complete the following table by referring to 38. What experimental evidence did Thomson have for each statement? a. Electrons have a negative charge. b. Atoms of all elements contain electrons. Figure 4.11 on page 118. Atomic number Mass number Number of protons Number of neutrons Symbol of element 9 (d) (g) (j) (a) (e) 47 55 (b) 14 (h) 25 10 15 25 (k) (c) (f ) (i) (l) 51. Name two ways that isotopes of an element differ. 52. How can there be more than 1000 different atoms when there are only about 100 different elements? 39. Would you expect two electrons to attract or repel each other? 53. What data must you know about the isotopes of 40. How do the charge and mass of a neutron compare to the charge and mass of a proton? 41. Why does it make sense that if an atom loses 54. How is an average mass different from a electrons, it is left with a positive charge? weighted average mass? 42. Describe the location of the electrons in Thomson’s “plum pudding” model of the atom. 43. How did the results of Rutherford’s gold-foil 55. What is the atomic mass of an element? 56. How are the elements arranged in the modern periodic table? experiment differ from his expectations? 44. What is the charge, positive or negative, of the nucleus of every atom? an element to calculate the atomic mass of the element? 57. Look up the word periodic in the dictionary. Propose a reason for the naming of the periodic table. 122 Chapter 4 50. a. 19 b. 9 c. F d. 14 e. 29 f. Si g. 22 h. 22 i. Ti j. 25 k. 30 l. Mn 51. mass numbers, atomic masses, number of neutrons, relative abundance 52. because of the existence of isotopes 53. which isotopes exist, their masses, and their natural percent abundance 54. Average atomic mass is the arithmetic mean of the isotopes. Weighted average atomic mass considers both the mass and the relative abundance of the isotopes. 55. The atomic mass is the weighted average of the masses of all the isotopes. 56. according to their atomic numbers 57. Sample answer: The table is set up so that chemical properties of elements recur at regular intervals. Understanding Concepts 58. Characterize the size of an atom. 59. Compare the size and density of an atom with its nucleus. 60. Imagine you are standing on the top of a boron-11 nucleus. Describe the numbers and kinds of subatomic particles you would see looking down into the nucleus, and those you would see looking out from the nucleus. 61. What parts of Dalton's atomic theory no longer agree with the current picture of the atom? 62. Millikan measured the quantity of charge carried by an electron. How did he then calculate the mass of an electron? 63. How is the number of electrons for a neutral atom of a given element related to the atomic number of that element? 64. How is the atomic mass of an element calculated from isotope data? 67. Why are atoms considered the basic building blocks of matter even though smaller particles, such as protons and electrons, exist? 68. The following table shows some of the data collected by Rutherford and his colleagues during their gold-foil experiment. Angle of deflection (degrees) Number of deflections 5 10 15 30 45 60 75 >105 8,289,000 502,570 120,570 7800 1435 477 211 198 a. What percentage of the alpha particle deflec- tions were 5 or less? 65. The four isotopes of lead are shown below, each with its percent by mass abundance and the composition of its nucleus. Using these data, calculate the approximate atomic mass of lead. b. What percentage of the deflections were 15 or less? c. What percentage of the deflections were 60 or greater? 69. Using the data for nitrogen listed in Table 4.3, 82p 122n 82p 124n 1.37% 26.25% 82p 125n 82p 126n 20.82% 51.55% calculate the weighted average atomic mass of nitrogen. Show your work. 70. What characteristics of cathode rays led Thomson to conclude that the rays consisted of negatively charged particles? 71. If you know the atomic number and mass 66. Dalton’s atomic theory was not correct in every detail. Should this be taken as a criticism of Dalton as a scientist? Explain. number of an atom of an element, how can you determine the number of protons, neutrons, and electrons in that atom? 72. What makes isotopes of the same element chemically alike? 73. In the periodic table, what happens to the pattern of properties within a period when you move from one period to the next? Assessment 123 58. very, very tiny—but larger than protons and electrons 59. The nucleus is very small and very dense compared with the atom. 60. 5 protons and 6 neutrons in the nucleus; 5 electrons outside the nucleus 61. All atoms of the same element are not identical (isotopes). The atom is not the smallest particle of matter. 62. He used the quantity of charge value and the charge-to-mass ratio measured by Thomson. 63. They are the same value. 64. The masses of isotopes in a sample of the element are averaged, based on relative abundance. The result is the element’s atomic mass. 65. 207 amu 66. No; in general he proposed a valid theory in line with the experimental evidence available to him. 67. Atoms are the smallest particle of an element that retains the properties of that element. 68. a. 92.90% b. 99.89% c. 0.00993% 69. 147N : 14.003 amu; 99.63% 157N : 15.000 amu; 0.37% average atomic mass = 14.01 amu 70. They were attracted to a positively charged plate. 71. Atomic number is the same as the number of protons and electrons; mass number minus atomic number equals number of neutrons. 72. Because they have identical numbers of protons, they also have identical numbers of electrons; electrons are the subatomic particles that are responsible for chemical behavior. 73. The pattern repeats. Atomic Structure 123 CHAPTER CHAPTER 4 Assessment continued 4 Assessment continued Critical Thinking 74. The diagram below shows gold atoms being bombarded with fast-moving alpha particles. 74. a. the nucleus of an atom; b. very small volume; almost all the mass of the atom; high density; positive charge; c. electron 75. Change the metal used as a target and account for differences in deflection patterns. 76. The following are reasonable hypotheses: The space in an individual atom is large relative to the volume of the atom, but very small relative to an object the size of a hand. There are many layers of atoms in a wall or a desk. The space that exists is distributed evenly throughout the solid, similar to the distribution of air pockets in foam insulation. 77. The theory must be modified and then retested. 78. Yes—but answers will vary. 79. In a chemical change, atoms are not created or destroyed; they are rearranged. ¡ 124 Chapter 4 carbon atoms. The density of diamond is 3.52 g/cm3. The density of graphite is 2.25 g/cm3. In 1955, scientists successfully made diamond from graphite. Using the relative densities, imagine what happens at the atomic level when this change occurs. Then suggest how this synthesis may have been accomplished. Lithium-6 has an atomic mass of 6.015 amu; lithium-7 has an atomic mass of 7.016 amu. The atomic mass of lithium is 6.941 amu. What is the percentage of naturally occurring lithium-7? 82. When the masses of the particles that make up a. The large yellow spheres represent gold atoms. What do the small gray spheres represent? b. List at least two characteristics of the small gray spheres. c. Which subatomic particle cannot be found in the area represented by the gray spheres? an atom are added together, the sum is always larger than the actual mass of the atom. The missing mass, called the mass defect, represents the matter converted into energy when the nucleus was formed from its component protons and neutrons. Calculate the mass defect of a chlorine-35 atom by using the data in Table 4.1. The actual mass of a chlorine-35 atom is 5.81 1023 g. Cumulative Review 75. How could you modify Rutherford’s experimen- tal procedure to determine the relative sizes of different nuclei? 76. Rutherford’s atomic theory proposed a dense nucleus surrounded by very small electrons. This implies that atoms are composed mainly of empty space. If all matter is mainly empty space, why is it impossible to walk through walls or pass your hand through your desk? action. What happens when new experimental results cannot be explained by the existing theory? 78. Do you think there are more elements left to be discovered? Explain your answer. 79. The law of conservation of mass was introduced in Chapter 2. Use Dalton’s atomic theory to explain this law. 124 Chapter 4 83. Pure chemistry involves the accumulation of scientific knowledge for its own sake. Applied chemistry is accumulating knowledge to attain a specific goal. 84. Scientific theory attempts to explain why experiments give certain results. Scientific law describes a natural phenomenon but does not explain it. 85. a. element b. mixture c. mixture d. mixture 86. 48 g 87. 6.38 × 107 cm3 88. 99.5 g 80. Diamond and graphite are both composed of 81. Lithium has two naturally occurring isotopes. 77. This chapter illustrates the scientific method in 80. Because diamond is more dense than graphite, pressure could be used to “squeeze”the carbon atoms closer together. 81. 92.5% 82. 4 × 10–25 g Concept Challenge 83. How does the goal of pure chemistry compare with that of applied chemistry? (Chapter 1) 84. How does a scientific law differ from a scientific theory? (Chapter 1) 85. Classify each as an element, a compound, or a mixture. (Chapter 2) a. sulfur c. newspaper b. salad oil d. orange 86. Oxygen and hydrogen react explosively to form water. In one reaction, 6 g of hydrogen combines with oxygen to form 54 g of water. How much oxygen was used? (Chapter 2) 87. An aquarium measures 54.0 cm 31.10 m 380.0 cm. How many cubic centimeters of water will this aquarium hold? (Chapter 3) 88. What is the mass of 4.42 cm3 of platinum? The density of platinum is 22.5 g/cm3. (Chapter 3) Standardized Test Prep Standardized Test Prep Test-Taking Tip Use the art to answer Question 5. 5. How many nitrogen-14 atoms (14N) would you Connectors Sometimes two phrases in a true/ false question are connected by a word such as because or therefore. These words imply a relationship between one part of the sentence and another. Statements that include such words can be false even if both parts of the statement are true by themselves. need to place on the right pan to balance the three calcium-42 atoms (42Ca) on the left pan of the “atomic balance” below? Describe the method you used to determine your answer, including any calculations. 6. 7. 8. 9. Select the choice that best answers each question or completes each statement. 1. An atom composed of 16 protons, 16 electrons, and 16 neutrons is a. 48 b. 16 16 S 32 Ge c. 32 16 S d. 1. 2. 3. 4. 5. 16 32 S c a b b 9; three 42Ca atoms have an approximate mass of 3 × 42 = 126 amu; one 14N atom has an approximate mass of 14 amu; 126/14 = 9 14N atoms with an approximate mass of 126 amu. e false, true true, false true, true, correct explanation 2. Which list contains elements that fall within the same group on the periodic table? a. He, Ar, Xe b. O, F, Ne c. K, Rb, Ba d. H, He, Li 6. Which of the following statements about the peri- 3. Which of these descriptions is incorrect? a. proton: positive charge, in nucleus, mass of ≈ 1 amu b. electron: negative charge, mass of ≈ 0 amu, in nucleus c. neutron: mass of ≈ 1 amu, no charge 4. Thallium has two isotopes, thallium-203 and thal- lium-205. Thallium’s atomic number is 81 and its atomic mass is 204.38 amu. Which statement about the thallium isotopes is true? a. There is more thallium-203 in nature. b. Atoms of both isotopes have 81 protons. c. Thallium-205 atoms have fewer neutrons. d. The most common atom of thallium has a mass of 204.38 amu. odic table are correct? I. Elements are arranged in order of increasing atomic mass. II. A period is a horizontal row. III. The properties of the elements within a period vary from element to element. a. I only b. I and II only c. I, II, and III d. I and III only e. II and III only For each question below there are two statements. Decide whether each statement is true or false. Then decide whether Statement II is a correct explanation for Statement I. Statement I 7. Every aluminum-27 atom has 27 protons BECAUSE Statement II The mass number of aluminum-27 is 27. and 27 electrons. 8. Isotopes of an element have different BECAUSE atomic masses. 9. An electron is repelled by a negatively charged particle. BECAUSE The nuclei of an element’s isotopes contain different numbers of protons. An electron has a negative charge. Standardized Test Prep 125 Atomic Structure 125