Chemistry: An Atoms First Approach
2nd Edition
ISBN: 9781305079243
Author: Steven S. Zumdahl, Susan A. Zumdahl
Publisher: Cengage Learning
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Chapter 2, Problem 66E
Consider an electron for a hydrogen atom in an excited state. The maximum wavelength of
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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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- As the weapons officer aboard the Srarship Chemistry, it is your duty to configure a photon torpedo to remove an electron from the outer hull of an enemy vessel. You know that the work function (the binding energy of the electron) of the hull of the enemy ship is 7.52 1019 J. a. What wavelength does your photon torpedo need to be to eject an electron? b. You find an extra photon torpedo with a wavelength of 259 nm and fire it at the enemy vessel. Does this photon torpedo do any damage to the ship (does it eject an electron)? c. If the hull of the enemy vessel is made of the element with an electron configura tion of [Ar]4s13d10, what metal is this?arrow_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_forwardIn 1885, Johann Balmer, a mathematician, derived the following relation for the wavelength of lines in the visible spectrum of hydrogen =364.5 n2( n2 4) where in nanometers and n is an integer that can be 3, 4, 5, . . . Show that this relation follows from the Bohr equation and the equation using the Rydberg constant. Note that in the Balmer series, the electron is returning to the n=2 level.arrow_forward
- 6.93 A mercury atom is initially in its lowest possible (or ground state) energy level. The atom absorbs a photon with a wavelength of 185 nm and then emits a photon with a frequency of 4.9241014HZ . At the end of this series of transitions, the atom will still be in an energy level above the ground state. Draw an energy-level diagram for this process and find the energy of this resulting excited state, assuming that we assign a value of E = 0 to the ground state. (This choice of E = 0 is not the usual convention, but it will simplify the calculations you need to do here.)arrow_forward6.17 The laser in most supermarket barcode scanners operates at a wavelength of 632.8 nm. What is the energy of a single photon emitted by such a laser? What is the energy of one mole of these photons?arrow_forwardUse the mathematical expression for the 2pz wave function of a one-electron atom (see Table 5.2) to show that the probability of finding an electron in that orbital anywhere in the x-y plane is 0. What are the nodal planes for a dxz orbital and for a dx2y2 orbital?arrow_forward
- What type of relationship (direct or inverse) e xists between wavelength, frequency, and photon energy? What does a photon energy unit of a joule equal?arrow_forwardThe photoelectric work function of potassium is 2.29 eV. A photon of energy greater than this ejects the electron with the excess as kinetic energy. Suppose light of wavelength 455 nm ejects an electron from the surface of potassium. What is the speed of the ejected electron?arrow_forwardPhotons are emitted in the Lyman series as hydrogen atoms undergo transitions from various excited states to the ground state. If ground-state He+ are present in the same gas (near stars, for example), can they absorb these photons? Explain.arrow_forward
- A baseball weighs 142 g. A professional pitcher throws a fast ball at a speed of 100 mph and a curve ball at 80 mph. What wavelengths are associated with the motions of the baseball? If the uncertainty in the position of the ball is 12 wavelength, which ball (fast ball or curve) has a more precisely known position? Can the uncertainty in the position of a curve ball be used to explain why batters frequently miss it?arrow_forwardThe eyes of certain reptiles pass a single visual signal to the brain when the visual receptors are struck by photons of a wavelength of 850 nm. If a total energy of 3.151014 J is required to trip the signal, what is the minimum number of photons that must strike the receptor?arrow_forward6.96 When a helium atom absorbs light at 58.44 nm, an electron is promoted from the 1s orbital to a 2p orbital. Given that the ionization energy of (ground state) helium is 2372 kJ/ mol, find the longest wavelength of light that could eject an electron from the excited state helium atom.arrow_forward
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