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 2.60SP
Why do we have to use an arbitrary value such as 95% to determine the spatial limitations of an orbital?
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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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- 6.32 What are the mathematical origins of quantum numbers?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_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
- Determine the speed of an electron being emitted by rubidium (=2.16eV) when light of the following wavelengths is shined on the metal in vacuum: a550nm, b450nm,c350nm.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_forwardCalculate the energies of an electron in the fourth, fifth, and sixth energy levels of the Bohr hydrogen atom.arrow_forward
- Some scientists study Rydberg atoms, atoms whose electron has a large value of the n quantum number. Some Rydberg hydrogen atoms may have consequences in interstellar chemistry. Predict the radius of a Rydberg hydrogen atom that has n=100.arrow_forward6.92 The photoelectric effect can he used to measure the value of Planck's constant. Suppose that a photoelectric effect experiment was carried out using light with v=7.501014s1 and ejected electrons were detected with a kinetic energy of 2.501011 J. The experiment was then repeated using light with v=1.001015s1 and the same metal target, and electrons were ejected with kinetic energy of 5.001011 J. Use these data to find a value for Planck’s constant. HINTS: These data are fictional and will give a result that is quite different from the real value of Planck's constant. Be sure that you do not use the real value of Planck's constant in any calculations here. It may help to start by thinking about how you would calculate the metal's binding energy if you already knew Planck's constant.arrow_forwardHow is the Bohr theory of the hydrogen atom inconsistent with the uncertainty principle? In fact, it was this inconsistency, along with the theorys limited application to non-hydrogen-like systems, that limited Bohrs theory.arrow_forward
- Explain the main features of Bohrs theory. Do these features solve the difficulty alluded to in Question 7.8?arrow_forwardConsider a one-dimensional particle-in-a-box and a three-dimensional particle-in-a-box that have the same dimensions. a What is the ratio of the energies of a particle having the lowest possible quantum numbers in both boxes? b Does this ratio stay the same if the quantum numbers are not the lowest possible values?arrow_forwardA piano tuner uses a tuning fork that emits sound with a frequency of 440s1 . Calculate the wavelength of the sound from this tuning fork and the time the sound takes to travel 10.0 m across a large room. Take the speed of sound in air to be 343ms1 .arrow_forward
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