General Chemistry: Atoms First
2nd Edition
ISBN: 9780321809261
Author: John E. McMurry, Robert C. Fay
Publisher: Prentice Hall
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Textbook Question
Chapter 2, Problem 2.98CHP
Orbital energies in single-electron atoms or ions, such as He+, can be described with an equation similar to the Balmer–Rydberg equation:
where Z is the
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Chapter 2 Solutions
General Chemistry: Atoms First
Ch. 2.1 - What is the frequency of a gamma ray with = 3.56 ...Ch. 2.1 - What is the wavelength in meters of an FM radio...Ch. 2.1 - Two electromagnetic waves are represented below....Ch. 2.2 - The Balmer equation can be extended beyond the...Ch. 2.2 - What is the longest-wavelength line in nanometers...Ch. 2.2 - What is the shortest-wavelength line in nanometers...Ch. 2.3 - What is the energy in kilojoules per mole of...Ch. 2.3 - The biological effects of a given dose of radiant...Ch. 2.3 - The work function of zinc metal is 350 kJ/mol....Ch. 2.3 - What is the work function of nickel metal if light...
Ch. 2.4 - What is the de Broglie wavelength in meters of a...Ch. 2.6 - Extend Table 2.2 to show allowed combinations of...Ch. 2.6 - Give orbital notations for electrons in orbitals...Ch. 2.6 - Give the allowed combinations of three quantum...Ch. 2.7 - Prob. 2.15PCh. 2.7 - Give a possible combination of n and l quantum...Ch. 2.9 - Calculate in kilojoules per mole the energy...Ch. 2.12 - Look at the electron configurations in Figure...Ch. 2.13 - Give expected ground-state electron configurations...Ch. 2.13 - Take a guess. What do you think is a likely...Ch. 2.13 - Identify the atom with the following ground-state...Ch. 2.14 - Which atom in each of the following pairs would...Ch. 2.14 - Prob. 2.23PCh. 2 - Where on the blank outline of the periodic table...Ch. 2 - Where on the periodic table do elements that meet...Ch. 2 - One of the elements shown on the following...Ch. 2 - Two electromagnetic waves are represented below....Ch. 2 - Prob. 2.28CPCh. 2 - The following orbital-filling diagram represents...Ch. 2 - Prob. 2.30CPCh. 2 - Identify each of the following orbitals, and give...Ch. 2 - Which has the higher frequency, red light or...Ch. 2 - Prob. 2.33SPCh. 2 - The Hubble Space Telescope detects radiant energy...Ch. 2 - Prob. 2.35SPCh. 2 - What is the wavelength in meters of ultraviolet...Ch. 2 - Prob. 2.37SPCh. 2 - Calculate the energies of the following waves in...Ch. 2 - The MRI (magnetic resonance imaging) body scanners...Ch. 2 - A certain cellular telephone transmits at a...Ch. 2 - Prob. 2.41SPCh. 2 - What is the wavelength in meters of photons with...Ch. 2 - What is the energy of each of the following...Ch. 2 - The data encoded on CDs, DVDs, and Blu-ray discs...Ch. 2 - The semimetal germanium is used as a component in...Ch. 2 - Prob. 2.46SPCh. 2 - According to the values cited in Problem 2.46, the...Ch. 2 - The work function of silver metal is 436 kJ/mol....Ch. 2 - What is the work function of gold metal in kJ/mol...Ch. 2 - Protons and electrons can be given very high...Ch. 2 - If a proton (mass = 1.673 1024 g) is accelerated...Ch. 2 - What is the de Broglie wavelength in meters of a...Ch. 2 - What is the de Broglie wavelength in meters of a...Ch. 2 - At what speed in meters per second must a 145 g...Ch. 2 - What velocity would an electron (mass = 9.11 1031...Ch. 2 - Use the Heisenberg uncertainty principle to...Ch. 2 - The mass of a helium-4 atom is 4.0026 u, and its...Ch. 2 - What are the four quantum numbers, and what does...Ch. 2 - What is the Heisenberg uncertainty principle, and...Ch. 2 - Why do we have to use an arbitrary value such as...Ch. 2 - How many nodal surfaces does a 4s orbital have?...Ch. 2 - Prob. 2.62SPCh. 2 - How does electron shielding in multielectron atoms...Ch. 2 - Give the allowable combinations of quantum numbers...Ch. 2 - Give the orbital designations of electrons with...Ch. 2 - Tell which of the following combinations of...Ch. 2 - Which of the following combinations of quantum...Ch. 2 - What is the maximum number of electrons in an atom...Ch. 2 - What is the maximum number of electrons in an atom...Ch. 2 - The wavelength of light at which the Balmer series...Ch. 2 - One series of lines of the hydrogen spectrum is...Ch. 2 - Prob. 2.72SPCh. 2 - Excited rubidium atoms emit red light with = 795...Ch. 2 - Why does the number of elements in successive...Ch. 2 - Prob. 2.75SPCh. 2 - Prob. 2.76SPCh. 2 - Prob. 2.77SPCh. 2 - According to the aufbau principle, which orbital...Ch. 2 - Prob. 2.79SPCh. 2 - Prob. 2.80SPCh. 2 - Give the expected ground-state electron...Ch. 2 - Prob. 2.82SPCh. 2 - Draw orbital-filling diagrams for atoms with the...Ch. 2 - Prob. 2.84SPCh. 2 - Prob. 2.85SPCh. 2 - Prob. 2.86SPCh. 2 - Prob. 2.87SPCh. 2 - Prob. 2.88SPCh. 2 - Prob. 2.89SPCh. 2 - Prob. 2.90SPCh. 2 - Prob. 2.91SPCh. 2 - Prob. 2.92SPCh. 2 - Which atom in each of the following pairs has a...Ch. 2 - Prob. 2.94SPCh. 2 - Prob. 2.95SPCh. 2 - What is the expected ground-state electron...Ch. 2 - Prob. 2.97SPCh. 2 - Orbital energies in single-electron atoms or ions,...Ch. 2 - Prob. 2.99CHPCh. 2 - Prob. 2.100CHPCh. 2 - Prob. 2.101CHPCh. 2 - Prob. 2.102CHPCh. 2 - What is the wavelength in meters of photons with...Ch. 2 - Prob. 2.104CHPCh. 2 - The second in the SI system is defined as the...Ch. 2 - Prob. 2.106CHPCh. 2 - Prob. 2.107CHPCh. 2 - Cesium metal is often used in photoelectric...Ch. 2 - Prob. 2.109CHPCh. 2 - Prob. 2.110CHPCh. 2 - Prob. 2.111CHPCh. 2 - Youre probably familiar with using Scotch Tape for...Ch. 2 - Hard wintergreen-flavored candies are...Ch. 2 - Prob. 2.114CHPCh. 2 - Prob. 2.115CHPCh. 2 - Prob. 2.116CHPCh. 2 - Prob. 2.117CHPCh. 2 - Prob. 2.118CHPCh. 2 - X rays with a wavelength of 1.54 1010 m are...Ch. 2 - Prob. 2.120CHPCh. 2 - Assume that the rules for quantum numbers are...Ch. 2 - Given the subshells 1s, 2s, 2p, 3s, 3p, and 3d,...Ch. 2 - Prob. 2.123CHPCh. 2 - A minimum energy of 7.21 1019 J is required to...Ch. 2 - A photon produced by an X-ray machine has an...Ch. 2 - An energetically excited hydrogen atom has its...Ch. 2 - Prob. 2.127MP
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- A bright violet line occurs at 435.8 nm in the emission spectrum of mercury vapor. What amount of energy, in joules, must be released by an electron in a mercury atom to produce a photon of this light?arrow_forwardAccording to a relationship developed by Niels Bohr, for an atom or ion that has a single electron, the total energy, En, of an electron in a stable orbit of quantum number n is En = [Z2/n2] (2.179 1018 J) where Z is the atomic number. Calculate the ionization energy for the electron in a ground-state He+ ion.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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- A hydrogen atom in the ground stale absorbs a photon whose wavelength is 95.0 nm. The resulting excited atom then emits a photon of 1282 nm. What are the regions of the electromagnetic spectrum for the radiations involved in these transitions? What is the principal quantum number of the final state resulting from the emission from the excited atom?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_forwardLight with a wavelength of 405 nm fell on a strontium surface, and electrons were ejected. If the speed of an ejected electron is 3.36 105 m/s, what energy was expended in removing the electron from the metal? Express the answer in joules (per electron) and in kilojoules per mole (of electrons).arrow_forward
- A hydrogen-like ion has a nucleus of charge +Ze and a single electron outside this nucleus. The energy levels of these ions are Z2RH/n2 (where Z = atomic number). Calculate the wavelength of the transition from n = 3 to n = 2 for He+, a hydrogen-like ion. In what region of the spectrum does this emission occur?arrow_forwardWarm objects emit electromagnetic radiation in the infrared region. Heat lamps employ this principle to generate infrared radiation. Water absorbs infrared radiation with wavelengths near 2.80 m. Suppose this radiation is absorbed by the water and converted to heat. A 1.00-L sample of water absorbs infrared radiation, and its temperature increases from 20.0C to 30.0C. How many photons of this radiation are used to heat the water?arrow_forwardWhat is the maximum number of electrons that can occupy a f subshell (l = 3)?arrow_forward
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