GENERAL CHEMISTRY-MOD.MASTERINGCHEM.
11th Edition
ISBN: 9780134193601
Author: Petrucci
Publisher: PEARSON
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Chapter 8, Problem 70E
Use a graphical method or some other means to show that in a
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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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- The ionization of the hydrogen atom can be calculated from Bohr's equation for the electron energy. E = (NARhc)(Z2/n2) where NARhc =1312 kJ/mol and Z is the atomic number. Let us use this approach to calculate a possible ionization energy for helium. First, assume the electrons of the He experience the full 2+ nuclear charge. This gives us the upper limit for the ionization energy. Next, assume one electron of He completely screens the nuclear charge from the other electrons, so Z = 1. This gives us a lower limit to the ionization energy. Compare these calculated values for the upper and lower limits to the experimental value of 2372.3 kJ/mol. What does this tell us about the ability of one electron to screen the nuclear charge?arrow_forwardHow far from the nucleus in angstroms (1 angstrom =11010 m) is the electron in a hydrogen atom if it has an energy of 8.721020 J?arrow_forwardThe wave function for the 2pz, orbital in the hydrogen atom is 2pl=142(za0)3/2e/2cos where a0 is the value for the radius of the first Bohr orbit in meters (5.29 | 1011), is Z(r/a0), r is the value for the distance from the nucleus in meters, and is an angle. Calculate the value of 2pz2 at r = a0 for = 0 (z axis) and for = 90 (xy plane).arrow_forward
- • identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forwardWhat is the maximum number of electrons that can occupy a f subshell (l = 3)?arrow_forwardWhy is the electron in a Bohr hydrogen atom bound less tightly when it has a quantum number of 3 than when it has a quantum number of 1?arrow_forward
- Using the Heisenberg uncertainty principle, calculate x for each of the following. a. an electron with v = 0.100 m/s b. a baseball (mass = 145 g) with v = 0.100 m/s How does the answer in part a compare with the size of a hydrogen atom? How does the answer in part b correspond to the size of a baseball?arrow_forwardThe ionization energy for a 1s electron in a silver atom is 2.462 106 kJ/mol. a. Determine an approximate value for Zeff for the Ag 1s electron. Assume the Bohr model applies to the 1s electron. Zeff is the apparent nuclear charge experienced by the electrons. b. How does Zeff from part a compare to Z for Ag? Rationalize the relative numbers.arrow_forwardSpectroscopists have observed He+ in outer space. This ion is a one-electron species like a neutral hydrogen atom. Calculate the energy of the photon emitted for the transition from the n = 5 to the n = 3 state in this ion using the equation: En = − Z2/n2 (2.179 × 10−18 J). Z is the positive charge of the nucleus and n is the principal quantum number. In what part of the electromagnetic spectrum does this radiation lie?arrow_forward
- Using data from the text, determine the following values (justify your answer): a. the electron affinity of Mg2+ b. the ionization energy of CI. c. the electron affinity of Cl+ d. the ionization energy of Mg (electron affinity of Mg = 230 kJ/mol)arrow_forwardImagine a world in which the rule for the l quantum number is that values start with 1 and go up to n. The rules for the n and mi quantum numbers are unchanged from those of our world. Write the quantum numbers for the first two shells (i.e., n = 1 and n = 2).arrow_forward(a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) to calculate the value of r for which a node exists. (b) Find the values of r for which nodes exist for the 3s wave function of the hydrogen atom.arrow_forward
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