Chemistry: An Atoms First Approach
2nd Edition
ISBN: 9781305079243
Author: Steven S. Zumdahl, Susan A. Zumdahl
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 18ALQ
Prove mathematically that it is more energetically favorable for a fluorine atom to take an electron from a sodium atom than for a fluorine atom to take an electron from another fluorinc atom.
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In a future hydrogen-fuel economy, the cheapest source of H2 will certainly be water. It takes 467 kJ to produce 1 mol of H atoms from water. What is the frequency, wavelength, and minimum energy of a photon that can free an H atom from water? Enter your answers in scientific notation.
When we first learn to write electron configurations for atoms, we use the Pauli Exclusion
Principle (PEP) and Hund's Rules to ensure that what we write is consistent with what we
observe in nature, the Periodic Table. Consider carbon and oxygen and write the correct ground
state electron configurations for both; having done so, reflect on how you intuitively used the
PEP and Hund's Rules. Now think about the formal statement of the PEP written as Postulate 6
of Quantum Mechanics.
All electronic wave functions must be antisymmetric under the interchange of
any two electrons.
Now we come to it; determine the most stable atomic term symbol for both elements and
explain Hund's Rules (see below) are manifested in the singular that you used to write
the correct ground state electron configurations.
Hund's Rules
1. The state with the largest value of S is the most stable, and stability
decreases with decreasing S.
2. For states with the same value of S, the state with the largest value of L…
When a hydrogen atom absorbs a photon of electromagnetic radiation (EMR), the internal energy of the atom increases and one or more electrons may be energized into an excited state. The release of this extra energy as the excited state electron transitions back to a lower energy state results in the emission of a photon. These energy changes are responsible for the emission spectrum of hydrogen (shown below) and are described by the Bohr equation. delta?=−2.178×10−18 J(1?2final−1?2initial)ΔE=−2.178×10−18 J(1nfinal2−1ninitial2)
*refer to attached image before proceeding*
To ionize a hydrogen atom (forming a hydrogen ion), requires that the energy absorbed is sufficient to send the energized electron an infinite distance away from the nucleus (as shown by the ionization line in the image above). In other words, nfinal is equal to infinity.
Calculate the energy required to ionize a ground state hydrogen atom. Report your answer in kilojoules.
delta E= ____kJ
What is the longest…
Chapter 2 Solutions
Chemistry: An Atoms First Approach
Ch. 2 - Four types of electromagnetic radiation (EMR) are...Ch. 2 - Characterize the Bohr model of the atom. In the...Ch. 2 - What experimental evidence supports the quantum...Ch. 2 - List the most important ideas of the quantum...Ch. 2 - What are quantum numbers? What information do we...Ch. 2 - How do 2p orbitals differ from each other? How do...Ch. 2 - Four blocks of elements in a periodic table refer...Ch. 2 - What is the difference between core electrons and...Ch. 2 - Prob. 9RQCh. 2 - The radius trend and the ionization energy trend...
Ch. 2 - Prob. 1ALQCh. 2 - Defend and criticize Bohrs model. Why was it...Ch. 2 - The first four ionization energies for the...Ch. 2 - Compare the first ionization energy of helium to...Ch. 2 - Which has the larger second ionization energy,...Ch. 2 - Explain why a graph of ionization energy versus...Ch. 2 - Prob. 7ALQCh. 2 - Account for the fact that the line that separates...Ch. 2 - Explain electron from a quantum mechanical...Ch. 2 - Choose the best response for the following. The...Ch. 2 - Consider the following statement "The ionization...Ch. 2 - Prob. 12ALQCh. 2 - How does probability fit into the description of...Ch. 2 - Prob. 14ALQCh. 2 - Prob. 15ALQCh. 2 - Is the following statement true or false? The...Ch. 2 - Which is higher in energy, the 2s or 2p orbital,...Ch. 2 - Prove mathematically that it is more energetically...Ch. 2 - What type of relationship (direct or inverse) e...Ch. 2 - What do we mean by the frequency of...Ch. 2 - Explain the photoelectric effectCh. 2 - Describe briefly why the study of electromagnetic...Ch. 2 - How does the wavelength of a fast-pitched baseball...Ch. 2 - The following is an energy-level diagram for...Ch. 2 - The Bohr model works for only one electron...Ch. 2 - We can represent both probability and radial...Ch. 2 - Prob. 27QCh. 2 - The periodic table consists of four blocks of...Ch. 2 - Prob. 29QCh. 2 - Prob. 30QCh. 2 - Elements with very large ionization energies also...Ch. 2 - Prob. 32QCh. 2 - Prob. 33QCh. 2 - Scientists use emission spectra to confirm the...Ch. 2 - Does the minimization of electron-electron...Ch. 2 - Prob. 36QCh. 2 - Prob. 37QCh. 2 - Many more anhydrous lithium salts are hygroscopic...Ch. 2 - The laser in an audio CD player uses light with a...Ch. 2 - An FM radio station broadcasts at 99.5 MHz....Ch. 2 - Microwave radiation has a wavelength on the order...Ch. 2 - A photon of ultraviolet (UV) light possesses...Ch. 2 - Octyl methoxycinoamate and oxybenzone are common...Ch. 2 - Human color vision is " produced" by the nervous...Ch. 2 - Consider the following waves representing...Ch. 2 - One type of electromagnetic radiation has a...Ch. 2 - Carbon absorbs energy at a wavelength of 150. nm....Ch. 2 - X rays have wavelengths on the order of 1 1010 m....Ch. 2 - The work function of an element is the energy...Ch. 2 - It takes 208.4 kJ of energy to remove 1 mole of...Ch. 2 - It takes 7.21 1019 J of energy to remove an...Ch. 2 - Ionization energy is the energy required to remove...Ch. 2 - Calculate the de Broglie wavelength for each of...Ch. 2 - Neutron diffraction is used in determining the...Ch. 2 - A particle has a velocity that is 90.% of the...Ch. 2 - Calculate the velocities of electrons with de...Ch. 2 - Calculate the wavelength of light emiued when each...Ch. 2 - Calculate the wavelength of light emitted when...Ch. 2 - Using vertical lines, indicate the transitions...Ch. 2 - Using vertical lines, indicate the transitions...Ch. 2 - Calculate the longest and shortest wavelengths of...Ch. 2 - Assume that a hydrogen atoms electron has been...Ch. 2 - Does a photon of visible light ( 400 to 700 nm)...Ch. 2 - An electron is excited from the n = 1 ground state...Ch. 2 - Calculate the maximum wavelength of light capable...Ch. 2 - Consider an electron for a hydrogen atom in an...Ch. 2 - An excited hydrogen atom with an electron in the n...Ch. 2 - An excited hydrogen atom emits light with a...Ch. 2 - Using the Heisenberg uncertainty principle,...Ch. 2 - The Heisenberg uncertainty principle can be...Ch. 2 - What are the possible values for the quantum...Ch. 2 - Identify each of the following orbitals and...Ch. 2 - Which of the following sets of quantum numbers are...Ch. 2 - Which of the following sets of quantum numbers are...Ch. 2 - What is the physical significance of the value of...Ch. 2 - In defining the sizes of orbitals, why must we use...Ch. 2 - Total radial probability distributions for the...Ch. 2 - Tbe relative orbital levels for the hydrogen atom...Ch. 2 - How many orbitals in an atom can have the...Ch. 2 - How many electrons in an atom can have the...Ch. 2 - Give the maximum number of electrons in an atom...Ch. 2 - Give the maximum number of electrons in an atom...Ch. 2 - Draw atomic orbital diagrams representing the...Ch. 2 - For elements l36, there are two exceptions to the...Ch. 2 - The elements Si, Ga, As, Ge, Al, Cd, S, and Se are...Ch. 2 - The elements Cu, O, La, Y, Ba, Tl, and Bi are all...Ch. 2 - Write the expected electron configurations for...Ch. 2 - Write the expected electron configurations for...Ch. 2 - The four most abundant elements by mass in the...Ch. 2 - The first-row transition metals from chromium...Ch. 2 - Write the expected ground-state electron...Ch. 2 - Using only the periodic table inside the front...Ch. 2 - Given the valence electron orbital level diagram...Ch. 2 - Identify the following elements. a. An excited...Ch. 2 - In the ground state of mercury, Hg, a. how many...Ch. 2 - In the ground state of element 115, Uup, a. how...Ch. 2 - Give a possible set of values of the four quantum...Ch. 2 - Give a possible set of values of the four quantum...Ch. 2 - Valence electrons are those electrons in the...Ch. 2 - How many valence electrons do each of the...Ch. 2 - A certain oxygen atom has the electron...Ch. 2 - Which of the following electron configurations...Ch. 2 - Which of elements 1-36 have two unpaired electrons...Ch. 2 - Which of elements 1-36 have one unpaired electron...Ch. 2 - One bit of evidence that the quantum mechanical...Ch. 2 - Identify how many unpaired electrons are present...Ch. 2 - Prob. 107ECh. 2 - Arrange the following groups of atoms in order of...Ch. 2 - Arrange the atoms in Exercise 107 in order of...Ch. 2 - Arrange the atoms in Exercise 108 in order of...Ch. 2 - In each of the following sets, which atom or ion...Ch. 2 - In each of the following sets, which atom or ion...Ch. 2 - Prob. 113ECh. 2 - The first ionization energies of As and Se are...Ch. 2 - Rank the elements Be, B, C, N, and O in order of...Ch. 2 - Prob. 117ECh. 2 - The following graph plots the first, second, and...Ch. 2 - Prob. 119ECh. 2 - For each of the following pairs of elements (Mg...Ch. 2 - The electron affinities of the elements from...Ch. 2 - In the second row of the periodic table, Be, N,...Ch. 2 - Prob. 123ECh. 2 - Order the atoms in each of the following sets from...Ch. 2 - The electron affinity for sulfur is more negative...Ch. 2 - Which has the more negative electron affinity, the...Ch. 2 - Write equations corresponding to the following: a....Ch. 2 - Using data from the text, determine the following...Ch. 2 - Cesium was discovered in natural mineral waters in...Ch. 2 - 'The bright yellow light emitted by a sodium vapor...Ch. 2 - Does the information on alkali metals in Table 2-8...Ch. 2 - Prob. 132ECh. 2 - Prob. 133ECh. 2 - Complete and balance the equations for the...Ch. 2 - Prob. 135AECh. 2 - A carbon-oxygen double bond in a certain organic...Ch. 2 - Mars is roughly 60 million km from the earth. How...Ch. 2 - Consider the following approximate visible light...Ch. 2 - One of the visible lines in the hydrogen emission...Ch. 2 - Prob. 140AECh. 2 - Are the following statements true for the hydrogen...Ch. 2 - Prob. 142AECh. 2 - The four most abundant elements by mass in the...Ch. 2 - Which of the following orbital designations are...Ch. 2 - The successive ionization energies for an unknown...Ch. 2 - An unknown element is a nonmetal and has a valence...Ch. 2 - While Mendeleev predicted the existence of several...Ch. 2 - Photosynthesis uses 660-nm light to convert CO2...Ch. 2 - Photogray lenses incorporate small amounts of...Ch. 2 - It takes 476 kJ to remove 1 mole of electrons from...Ch. 2 - Prob. 151CWPCh. 2 - Prob. 152CWPCh. 2 - Determine the maximum number of electrons that can...Ch. 2 - Consider the ground state of arsenic, As. How many...Ch. 2 - Which of the following statements is(are) true? a....Ch. 2 - Identify the following three elements. a. The...Ch. 2 - Prob. 157CWPCh. 2 - Prob. 158CWPCh. 2 - Three elements have the electron configurations...Ch. 2 - One of the emission spectral lines for Be3+ has a...Ch. 2 - The figure below represents part of the emission...Ch. 2 - When lhe excited electron in a hydrogen atom falls...Ch. 2 - Prob. 163CPCh. 2 - For hydrogen atoms, the wave function for the...Ch. 2 - The wave function for the 2pz, orbital in the...Ch. 2 - Answer the following questions, assuming that ms,...Ch. 2 - Assume that we are in another universe with...Ch. 2 - Without looking at data in the text, sketch a...Ch. 2 - The following numbers are the ratios of second...Ch. 2 - We expect the atomic radius to increase going down...Ch. 2 - The ionization energy for a 1s electron in a...Ch. 2 - Answer the following questions based on the given...Ch. 2 - As the weapons officer aboard the Srarship...
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- Suppose that the spin quantum number did not exist, and therefore only one electron could occupy each orbital of a many-electron atom. Give the atomic numbers of the first three noble-gas atoms in this case.arrow_forwardAssign a correct set of four quantum numbers for (a) Each electron in a nitrogen atom. (b) The valence electron in a sodium atom. (c) A 3d electron in a nickel atom.arrow_forwardAre mathematical expressions for the following potential energies positive or negative? Explain why in each case. a The attraction between an electron and a helium nucleus b The repulsion between two protons in a nucleus c The attraction between a north and a south magnetic pole d The force of gravity between the Sun and Earth e A rock perched on the edge of a cliff with respect to the base of the cliffarrow_forward
- Consider the eight most abundant elements in the human body, as outlined in Exercise 156. Excluding hydrogen, which of these elements would have the smallest size? largest size? smallest first ionization energy? largest first ionization energy?arrow_forwardList the charges on hydrogen-like atoms whose nuclei are of the following elements. a lithium, b carbon, c iron, d samarium, e xenon, f francium, g uranium, h seaborgiumarrow_forwardInvestigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation E=RHn3 where RH is the same as for hydrogen (2.179 1018 J). Answer the following questions, without calculating energy values. a How would the ground-state energy levels of X and H compare? b Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer. c How do the spacings of the energy levels of X and H compare? d Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom? e Which atom, X or H, would require more energy to completely remove its electron? f A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 12 to n = 5) in an atom of X? Explain.arrow_forward
- When a hydrogen atom absorbs a photon of electromagnetic radiation (EMR), the internal energy of the atom increases and one or more electrons may be energized into an excited state. The release of this extra energy as the excited state electron transitions back to a lower energy state results in the emission of a photon. These energy changes are responsible for the emission spectrum of hydrogen (shown below) and are described by the Bohr equation. What is the longest wavelength of electromagnetic radiation capable of ionizing this hydrogen atom in an excited state? Report your answer in nanometers.arrow_forwardWhich of the following statements about an electron is TRUE according to the quantum mechanical model of the atom? The shape of an orbital is determined mathematically from the wavefunction of an electron The position and velocity of an electron can simultaneously be determined very accurately A single electron can interfere with itselfarrow_forwardList the values of all four quantum numbers for each of the valence electrons of radium (Ra). State how these two sets of quantum numbers satisfy Pauli exclusion principle. List all the possible values of magnetic quantum number for the electrons in praseodymium? How many magnetic quantum number values are possible for the electrons in the energy level that is closest to the nucleus of praseodymium? List the values.arrow_forward
- As you may well know, placing metal objects inside a microwave oven can generate sparks. Two of your friends are arguing over the cause of the sparking, with one stating that the microwaves “herd” electrons into “pointy” areas of the metal object, from which the electrons jump from one part of the object to another. The other friend says that the sparks are caused by the photoelectric effect. Prove or disprove the latter idea using basic physics. Suppose the typical work function of the metal is roughly 5.140x10^-19 J. Calculate the maximum wavelength in angstroms of the radiation that will eject electrons from the metal.arrow_forwardDefine the term The Bohr? What is its role?arrow_forward
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