General Chemistry: Atoms First
General Chemistry: Atoms First
2nd Edition
ISBN: 9780321809261
Author: John E. McMurry, Robert C. Fay
Publisher: Prentice Hall
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Chapter 2, Problem 2.119CHP

X rays with a wavelength of 1.54 × 10−10 m are produced when a copper metal target is bombarded with high-energy electrons that have been accelerated by a voltage difference of 30,000 V. The kinetic energy of the electrons (see Problem 2.118) equals the product of the voltage difference and the electronic charge in coulombs, where 1 volt-coulomb = 1 J.

  1. (a) What is the kinetic energy in joules and the de Broglie wavelength in meters of an electron that has been accelerated by a voltage difference of 30,000 V?
  2. (b) What is the energy in joules of the X rays emitted by the copper target?
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(A) A photon has a wavelength of 599 nm. Calculate the energy of the photon in joules. Enter your answer in scientific notation.  (b) what is the wave length (in nm) of radiation that has an energy content of 9.53 x 103 kJ/mol? (B part 2) in which region of the electromagnetic spectrum is this radiation found? (c) what are the possible values for ml when the principal quantum number (n) is 2 and the angular momentum quantum number is 0?
Compare the wavelengths of an electron (mass 9.11X10⁻³¹kg) and a proton (mass 1.67X10⁻²⁷kg), eachhaving (a) a speed of 3.4106m/s; (b) a kinetic energy of2.7X10¹⁵ J.
Particles called muons exist in cosmic rays and can be created in particle accelerators. Muons are very similar to electrons, having the same charge and spin, but they have a mass 207 times greater. When muons arecaptured by an atom, they orbit just like an electron but with a smaller radius, since the mass in aB =0.529x 10-10 m is 207 me .(a) Calculate the radius of the n=1 orbit for a muon in a uranium ion( Z=92).(b) Compare this with the 7.5-fm radius of a uranium nucleus. Note that since the muon orbits inside the electron, it falls into a hydrogen-like orbit. Since your answer is less than the radius of the nucleus, you can seethat the photons emitted as the muon falls into its lowest orbit can give information about the nucleus.

Chapter 2 Solutions

General Chemistry: Atoms First

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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