EBK WEBASSIGN FOR ZUMDAHL'S CHEMICAL PR
8th Edition
ISBN: 9780357119099
Author: ZUMDAHL
Publisher: VST
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Chapter 12, Problem 49E
Consider an electron for a hydrogen atom in an excitedstate. The maximum wavelength of
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Chapter 12 Solutions
EBK WEBASSIGN FOR ZUMDAHL'S CHEMICAL PR
Ch. 12 - Prob. 1DQCh. 12 - Prob. 2DQCh. 12 - Prob. 3DQCh. 12 - The first four ionization energies for elements X...Ch. 12 - Prob. 5DQCh. 12 - Prob. 6DQCh. 12 - Prob. 7DQCh. 12 - Prob. 8DQCh. 12 - Prob. 9DQCh. 12 - Prob. 10DQ
Ch. 12 - Prob. 11DQCh. 12 - Prob. 12DQCh. 12 - Prob. 13DQCh. 12 - Prob. 14DQCh. 12 - Prob. 15DQCh. 12 - Prob. 16DQCh. 12 - Prob. 17DQCh. 12 - Is the following statement true or false: The...Ch. 12 - Which is higher in energy: the 2s or 2p orbital in...Ch. 12 - Prove mathematically that it is more energetically...Ch. 12 - Microwave radiation has a wavelength on the order...Ch. 12 - Consider the following waves representing...Ch. 12 - Prob. 23ECh. 12 - Human color vision is “produced” by the nervous...Ch. 12 - One type of electromagnetic radiation has a...Ch. 12 - Carbon absorbs energy at a wavelength of 150. nm....Ch. 12 - Prob. 27ECh. 12 - X rays have wavelengths on the order of 110-10m...Ch. 12 - The work function of an element is the energy...Ch. 12 - Ionization energy is the energy required to remove...Ch. 12 - It takes 208.4 kJ of energy to remove 1 mole of...Ch. 12 - What experimental evidence supports the quantum...Ch. 12 - Explain the photoelectric effect.Ch. 12 - Calculate the de Broglie wavelength for each of...Ch. 12 - Neutron diffraction is used in determining the...Ch. 12 - Calculate the velocities of electrons with de...Ch. 12 - An atom of a particular element is traveling at 1%...Ch. 12 - Characterize the Bohr model of the atom. In the...Ch. 12 - Prob. 39ECh. 12 - Consider only the transitions involving the first...Ch. 12 - Calculate the longest and shortest wavelengths of...Ch. 12 - Prob. 42ECh. 12 - Assume that a hydrogen atom’s electron has been...Ch. 12 - What is the maximum wavelength of light capable...Ch. 12 - An electron is excited from the ground state to...Ch. 12 - Does a photon of visible light (=400700nm)...Ch. 12 - An excited hydrogen atom emits light with a...Ch. 12 - An excited hydrogen atom with an electron in the n...Ch. 12 - Consider an electron for a hydrogen atom in an...Ch. 12 - Prob. 50ECh. 12 - One of the emission spectral lines for Be3+ has a...Ch. 12 - The Heisenberg uncertainty principle can be...Ch. 12 - Using the Heisenberg uncertainty principle,...Ch. 12 - We can represent both probability and radial...Ch. 12 - Prob. 55ECh. 12 - Calculate the wavelength of the electromagnetic...Ch. 12 - An electron in a one-dimensional box requires a...Ch. 12 - An electron in a 10.0-nm one-dimensional box is...Ch. 12 - Prob. 59ECh. 12 - What is the total probability of finding a...Ch. 12 - Which has the lowest (ground-state) energy, an...Ch. 12 - What are quantum numbers? What information do...Ch. 12 - How do 2p orbitals differ from each other? How do...Ch. 12 - Identify each of the following orbitals, and...Ch. 12 - Which of the following orbital designations are...Ch. 12 - Prob. 66ECh. 12 - The following sets of quantum numbers are not...Ch. 12 - How many orbitals can have the designation 5p,...Ch. 12 - How many electrons in an atom can have the...Ch. 12 - Prob. 70ECh. 12 - Prob. 71ECh. 12 - From the diagrams of 2p and 3p orbitals in Fig....Ch. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Total radial probability distributions for the...Ch. 12 - The relative orbital levels for the hydrogen atom...Ch. 12 - What is the difference between core electrons and...Ch. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - The elements of Si, Ga, As, Ge, Al, Cd, S, and Se...Ch. 12 - Write the expected electron configurations for the...Ch. 12 - Write the expected electron configurations for...Ch. 12 - Prob. 83ECh. 12 - Using Fig. 12.29, list elements (ignore the...Ch. 12 - Prob. 85ECh. 12 - Prob. 86ECh. 12 - Prob. 87ECh. 12 - Prob. 88ECh. 12 - Prob. 89ECh. 12 - Prob. 90ECh. 12 - Prob. 91ECh. 12 - Prob. 92ECh. 12 - Prob. 93ECh. 12 - Prob. 94ECh. 12 - Prob. 95ECh. 12 - A certain oxygen atom has the electron...Ch. 12 - Prob. 97ECh. 12 - Prob. 98ECh. 12 - Prob. 99ECh. 12 - Explain why the first ionization energy tends to...Ch. 12 - Prob. 101ECh. 12 - The radius trend and the ionization energy trend...Ch. 12 - Prob. 103ECh. 12 - Prob. 104ECh. 12 - In each of the following sets, which atom or ion...Ch. 12 - Prob. 106ECh. 12 - Prob. 107ECh. 12 - Prob. 108ECh. 12 - Prob. 109ECh. 12 - Prob. 110ECh. 12 - Prob. 111ECh. 12 - Consider the following ionization energies for...Ch. 12 - Prob. 113ECh. 12 - Prob. 114ECh. 12 - Prob. 115ECh. 12 - Prob. 116ECh. 12 - Prob. 117ECh. 12 - Prob. 118ECh. 12 - Prob. 119ECh. 12 - Prob. 120ECh. 12 - Prob. 121ECh. 12 - Prob. 122ECh. 12 - Prob. 123ECh. 12 - Prob. 124ECh. 12 - Prob. 125ECh. 12 - Prob. 126ECh. 12 - Prob. 127ECh. 12 - Prob. 128AECh. 12 - Prob. 129AECh. 12 - Prob. 130AECh. 12 - Prob. 131AECh. 12 - Prob. 132AECh. 12 - Prob. 133AECh. 12 - Prob. 134AECh. 12 - Prob. 135AECh. 12 - Prob. 136AECh. 12 - Prob. 137AECh. 12 - Prob. 138AECh. 12 - Prob. 139AECh. 12 - An unknown element is a nonmetal and has a...Ch. 12 - Prob. 141AECh. 12 - Using data from this chapter, calculate the change...Ch. 12 - Answer the following questions, assuming that ms...Ch. 12 - Prob. 144AECh. 12 - Prob. 145AECh. 12 - Prob. 146AECh. 12 - The figure below represents part of the emission...Ch. 12 - Prob. 148AECh. 12 - Prob. 149AECh. 12 - Prob. 150AECh. 12 - Prob. 151AECh. 12 - Prob. 152AECh. 12 - Prob. 153AECh. 12 - Identify the following three elements. a. The...Ch. 12 - Prob. 155AECh. 12 - Prob. 156AECh. 12 - Prob. 157AECh. 12 - Prob. 158CPCh. 12 - The ground state ionization energy for the one...Ch. 12 - When the excited electron in a hydrogen atom falls...Ch. 12 - Prob. 161CPCh. 12 - The following numbers are the ratios of second...Ch. 12 - Prob. 163CPCh. 12 - Prob. 164CPCh. 12 - Prob. 165CPCh. 12 - Prob. 166CPCh. 12 - The ionization energy for a 1s electron in a...Ch. 12 - Without looking at data in the text, sketch a...
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- The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=( 1 a 0 3 )1/2exp(r a 0 )ao=0.5291010m (a) What is the probability of finding the electron inside a sphere of volume 1.0pm2 , centered at the nucleus (1pm=1012m) ? (b) What is the probability of finding the electron in a volume of 1.0pm2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?arrow_forwardUsing Table 5.2, write down the mathematical expression for the 2px wave function for an electronically excited H atom. Estimate the probability of finding the 2px electron if you look in a cubical box of volume of 0.8(pm)3 centered at a distance of 0.5001010m in the =/2 , =0 direction. Does this probability change as you change ? At what angles is the probability of finding the electron smallest and at what angles is the probability the largest? (Note that =2 is the same location as =0 , so don’t double count.)arrow_forwardEstimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)arrow_forward
- 6.9 If a string of decorative lights includes bulbs with wave-lengths of 480, 580, and 700 mm, what are the frequencies of the lights? Use Figure 6.6 to determine which colors are in the set.arrow_forwardIn a FranckHertz experiment on sodium atoms, the first excitation threshold occurs at 2.103 eV. Calculate the wavelength of emitted light expected just above this threshold. (Note: Sodium vapor lamps used in street lighting emit spectral lines with wavelengths 5891.8 and 5889.9 Å.)arrow_forwardThe distant galaxy called Cygnus A is one of the strongest sources of radio waves reaching Earth. The distance of this galaxy from Earth is 31024m . How long (in years) does it take a radio wave of wavelength 10 m to reach Earth? What is the frequency of this radio wave?arrow_forward
- State how many radial, angular, and total nodes are in each of the following hydrogen-like wavefunctions. a 2s b 3s c 3p d 4f e 6g f 7sarrow_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_forwardBased on the trend shown in Figure 11.5, draw the probability distribution of a harmonic oscillator wavefunction that has a very high value of n. Explain how this is consistent with the correspondence principle.arrow_forward
- Show that the value of the Rydberg constant per photon, 2.179 1018 J, is equivalent to 1312 kJ/mol photons.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_forwardLasers are now used for the total or partial removal of skin tattoos. A laser with a wavelenth of 755 nm is used to remove tattoos in green or blue inks. (a) How much energy (in kJ/mol) is given off by the laser? (b) Compare the energy obtained in (a) with that given off by an x-ray (=1109m).arrow_forward
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