EP GENERAL CHEMISTRY-MOD.MASTERINGCHEM.
11th Edition
ISBN: 9780133897340
Author: Petrucci
Publisher: PEARSON CO
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Textbook Question
Chapter 8, Problem 94IAE
Determine the de Broglie wavelength of the electron ionized from a He' ion in its ground state using light of wavelength 208 nm.
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EP GENERAL CHEMISTRY-MOD.MASTERINGCHEM.
Ch. 8 - A hypothetical electromagnetic wave is pictured...Ch. 8 - Prob. 2ECh. 8 - The magnesium spectrum has a line at 266.8 nm....Ch. 8 - The most intense line in the cerium spectrum is at...Ch. 8 - Without doing detailed calculations, determine...Ch. 8 - Without doing detailed calculations, arrange the...Ch. 8 - How long does it take light from the sun, 93...Ch. 8 - In astronomy, distances are measured in...Ch. 8 - Determine a. the energy, in joules per photon, of...Ch. 8 - Determine a. the frequency, in hertz, of radiation...
Ch. 8 - A certain radiation has a wavelength of 574 nm....Ch. 8 - What is the wavelength, in nanometers, of light...Ch. 8 - Without doing detailed calculations, indicate...Ch. 8 - Without doing detailed calculations, arrange the...Ch. 8 - In what region of the electromagnetic spectrum...Ch. 8 - High-pressure sodium vapor lamps are used in...Ch. 8 - The lowest-frequency light that produce the...Ch. 8 - The minimum energy required to cause the...Ch. 8 - Use the Balmer equation (8.4) to determine a. the...Ch. 8 - How would the Balmer equation (8.4) have to be...Ch. 8 - What is E for the transition of an electron from...Ch. 8 - What is E for the transition of an electron from...Ch. 8 - To what value of n in equation (8.4) does the line...Ch. 8 - The Lyman series of the hydrogen spectrum can be...Ch. 8 - Calculate the wavelengths, in nanometers, of the...Ch. 8 - A line is detected in the hydrogen spectrum at...Ch. 8 - Calculate the energy, in joules, of a hydrogen...Ch. 8 - Calculate the increase in energy, in pules, when...Ch. 8 - What are the (a) frequency, in s1 , and (b)...Ch. 8 - Without doing detailed calculations, indicate...Ch. 8 - For a hydrogen atom, determine a. the energy level...Ch. 8 - Without doing detailed calculations, indicate...Ch. 8 - What electron transition in a hydrogen atom,...Ch. 8 - What electron transition in a hydrogen atom,...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - The emission spectrum below for a one-electron...Ch. 8 - Which must possess e greater velocity to produce...Ch. 8 - What must be the velocity, in meters per second,...Ch. 8 - Calculate the de Broglie wavelength, in...Ch. 8 - What is the wavelength, in nanometers, associated...Ch. 8 - The uncertainty relation xph/(4) , expression...Ch. 8 - Although Einstein made some early contributions to...Ch. 8 - A proton is accelerated to one-tenth the velocity...Ch. 8 - Show that the uncertainty principle is not...Ch. 8 - What must be the velocity of electrons if their...Ch. 8 - What must be the velocity of electrons if their...Ch. 8 - A standing wave in a string 42 cm long has a total...Ch. 8 - What is the length of a string that has a standing...Ch. 8 - Calculate the wavelength of the electromagnetic...Ch. 8 - An electron in a one-dimensional box requires a...Ch. 8 - An electron in a 200 nm box is excited from the...Ch. 8 - Calculate the wavelength of the electromagnetic...Ch. 8 - Describe some of the differences between the...Ch. 8 - The greatest probability of finding the electron...Ch. 8 - Select the correct answer and explain your...Ch. 8 - Write an acceptable value for each of the missing...Ch. 8 - What type of orbital (i.e., 3s,4p, ... ) is...Ch. 8 - Which of the following statements is (are) correct...Ch. 8 - Concerning the electrons in the shells, subshells,...Ch. 8 - Concerning the concept of subshells and orbitals,...Ch. 8 - Calculate the finite value of r, in terms of at...Ch. 8 - Calculate the finite value of r, in terms of ac ,...Ch. 8 - Show that the probability of finding a 2p,...Ch. 8 - Prob. 66ECh. 8 - Prepare a two-dimensional plot of Y(,) for the py...Ch. 8 - Prepare a two-dimensional plot of Yz(,) for the py...Ch. 8 - Using a graphical method, show that in a hydrogen...Ch. 8 - Use a graphical method or some other means to show...Ch. 8 - Identify the orbital that has (a) one radial node...Ch. 8 - Identify the orbital that has (a) two radial nodes...Ch. 8 - A contour map for an atomic orbital of hydrogen is...Ch. 8 - A contour map for an atomic orbital of hydrogen is...Ch. 8 - On the basis of the periodic table and rules for...Ch. 8 - Based on the relationship between electron...Ch. 8 - Which of the following is the correct orbital...Ch. 8 - Which of the following is the correct orbital...Ch. 8 - Use the basic rules for electron configurations to...Ch. 8 - Use orbital diagrams to show the distribution of...Ch. 8 - Prob. 81ECh. 8 - Without referring to any tables or listings in the...Ch. 8 - Which of the following electron configurations...Ch. 8 - Prob. 84ECh. 8 - Prob. 85ECh. 8 - Prob. 86ECh. 8 - The following electron configurations correspond...Ch. 8 - Prob. 88ECh. 8 - Derive the Balmer and Rydberg equations from...Ch. 8 - Prob. 90IAECh. 8 - The work function is the energy that must be...Ch. 8 - Infrared lamps are used in cafeterias to keep food...Ch. 8 - Prob. 93IAECh. 8 - Determine the de Broglie wavelength of the...Ch. 8 - The Pfund series of the hydrogen spectrum has as...Ch. 8 - Between which two levels of the hydrogen atom must...Ch. 8 - Prob. 97IAECh. 8 - Prob. 98IAECh. 8 - An atom in which just one of the outer-shell...Ch. 8 - If all other rules governing electron...Ch. 8 - Ozone, O2, absorbs ultraviolet radiation and...Ch. 8 - Radio signals from Voyager 1 in the 1970s were...Ch. 8 - Prob. 103IAECh. 8 - The angular momentum of an electron in the Bohr...Ch. 8 - Prob. 105IAECh. 8 - Prob. 106IAECh. 8 - Using the relationships given in Table 8.2, find...Ch. 8 - Prob. 108IAECh. 8 - Prob. 109IAECh. 8 - Prob. 110IAECh. 8 - In the ground state of a hydrogen atom, what is...Ch. 8 - Prob. 112IAECh. 8 - Prob. 113FPCh. 8 - Balmer seems to have deduced his formula for the...Ch. 8 - The Rydberg-Ritz combination principle is an...Ch. 8 - Prob. 116FPCh. 8 - Diffraction of radiation takes place when the...Ch. 8 - Prob. 118FPCh. 8 - (This exercise requires calculus.) In this...Ch. 8 - Prob. 120FPCh. 8 - In your own words, define the following terms or...Ch. 8 - Briefly describe each of the following ideas or...Ch. 8 - Explain the important distinctions between each...Ch. 8 - Describe two ways in which the orbitals of...Ch. 8 - Prob. 125SAECh. 8 - With the help of sketches, explain the difference...Ch. 8 - With the help of sketches, explain the difference...Ch. 8 - If traveling at equal speeds, which of the...Ch. 8 - For electromagnetic radiation transmitted through...Ch. 8 - Prob. 130SAECh. 8 - Prob. 131SAECh. 8 - Construct a concept map for the configurations of...
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- In 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_forwardThe energy needed to ionize an atom of element X when it is in its most stable state is 500kJmol1 . However, if an atom of X is in its lowest excited state, only 120kJmol1 is needed to ionize it. What is the wavelength of the radiation emitted when an atom of X undergoes a transition from the lowest excited state to the ground state?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 experimental evidence supports the quantum theory of light? Explain the wave-particle duality of all matter .. For what size particles must one consider both the wave and the particle properties?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• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward
- 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_forwardHeated lithium atoms emit photons of light with an energy of 2.9611019 J. Calculate the frequency and wavelength of one of these photons. What is the total energy in 1 mole of these photons? What is the color of the emitted light?arrow_forwardWhat 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_forward
- The 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_forward6.99 The photoelectric effect can he used in engineering designs for practical applications. For example, infrared goggles used in night-vision applications have materials that give an electrical signal with exposure to the relatively long wavelength IR light. If the energy needed for signal generation is 3.51020J , what is the wavelength and frequency of light that barely can be detected?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
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