General Chemistry: Atoms First
2nd Edition
ISBN: 9780321809261
Author: John E. McMurry, Robert C. Fay
Publisher: Prentice Hall
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Chapter 2.9, Problem 2.17P
Calculate in kilojoules per mole the energy necessary to completely remove an electron from the first shell of a hydrogen atom (R∞ = 1.097 × 10−2 nm−1).
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What is the kinetic energy of the emitted electrons when cesium is exposed to UV rays of frequency 1.90×1015Hz?
Express your answer in joules to three significant figures.
It is not 9.17×10−19 J or 12.589 x 10-19 J
By using the following formula, you can calculate the kinetic energy of the emitted electron:
KE=E−ϕ=hν−hν0
where h=6.63×10−34 J⋅s is Planck's constant, ν=1.90×1015Hz is the given frequency, and ν0=9.39×1014 Hz is your answer from Part A. The threshold frequency ν0 of cesium is 9.39×1014 Hz
Photoelectron spectroscopy applies the principle of the photoelectric effect to study orbital energies of atoms and molecules. High-energy radiation (usually UV or X-ray) is absorbed by a sample and an electron is ejected. The orbital energy can be calculated from the known energy of the radiation and the measured energy of the electron lost. The following energy differences were determined for several electron transitions:
ΔE2 →1 = 4.098 ×10−17 J
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ΔE4 → 2 = 1.024 ×10−17 J Calculate the energy change and the wavelength of a photon emitted in the following transitions. Enter your answers in scientific notation. Use 6.626 ×10−34 J·s for Planck's constant. (a) Level 3 to 2: ______J ______m (b) Level 4 to 1: _____J_____ m (c) Level 5 to 4: _____J
_____m
When a hydrogen atom absorbs a photon of electromagnetic radiation (EMR), the internal energy of the atom increases and one or more electrons may be energized into an excited state. The release of this extra energy as the excited state electron transitions back to a lower energy state results in the emission of a photon. These energy changes are responsible for the emission spectrum of hydrogen (shown below) and are described by the Bohr equation. delta?=−2.178×10−18 J(1?2final−1?2initial)ΔE=−2.178×10−18 J(1nfinal2−1ninitial2)
*refer to attached image before proceeding*
To ionize a hydrogen atom (forming a hydrogen ion), requires that the energy absorbed is sufficient to send the energized electron an infinite distance away from the nucleus (as shown by the ionization line in the image above). In other words, nfinal is equal to infinity.
Calculate the energy required to ionize a ground state hydrogen atom. Report your answer in kilojoules.
delta E= ____kJ
What is the longest…
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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