Principles of Modern Chemistry
8th Edition
ISBN: 9781305079113
Author: David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher: Cengage Learning
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Chapter 4, Problem 53AP
Photons are emitted in the Lyman series as hydrogen atoms undergo transitions from various excited states to the ground state. If ground-state
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Chapter 4 Solutions
Principles of Modern Chemistry
Ch. 4 - Some water waves reach the beach at a rate of one...Ch. 4 - The spacing between bands of color in a chemical...Ch. 4 - An FM radio station broadcasts at a frequency of...Ch. 4 - The gamma rays emitted by 60Co are used in...Ch. 4 - Radio waves of wavelength 6.00102m can be used to...Ch. 4 - An argon ion laser emits light of wavelength of...Ch. 4 - The speed of sound in dry air at 20°C is 343.5ms1...Ch. 4 - Ultrasonic waves have frequencies too high to be...Ch. 4 - The maximum in the blackbody radiation intensity...Ch. 4 - Use the data in Figure 4.8 to estimate the ratio...
Ch. 4 - Excited lithium atoms emit light strongly at a...Ch. 4 - Excited mercury atoms emit light strongly at a...Ch. 4 - Barium atoms in a flame emit light as they undergo...Ch. 4 - Potassium atoms in a flame emit light as they...Ch. 4 - The sodium D-line is actually a pair of closely...Ch. 4 - The power output of a laser is measured by its...Ch. 4 - In a FranckHertz experiment on sodium atoms, the...Ch. 4 - In a FranckHertz experiment on hydrogen atoms, the...Ch. 4 - Use the Bohr model to calculate the radius and the...Ch. 4 - He+ ions are observed in stellar atmospheres. Use...Ch. 4 - The radiation emitted in the transition from n=3...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - When an intense beam of green light is directed...Ch. 4 - Cesium frequently is used in photocells because...Ch. 4 - Alarm systems use the photoelectric effect. A beam...Ch. 4 - Light with a wavelength of 2.50107m falls on the...Ch. 4 - Calculate the maximum wavelength of...Ch. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Calculate the de Broglie wavelength of the...Ch. 4 - Calculate the de Broglie wavelength of the...Ch. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - (a) The position of an electron is known to be...Ch. 4 - No object can travel faster than the speed of...Ch. 4 - (a) Using Equation 4.36, make a graph of the n=3...Ch. 4 - Using a simple particle-in-a-box model for the...Ch. 4 - Chapter 3 introduced the concept of a double bond...Ch. 4 - When metallic sodium is dissolved in liquid sodium...Ch. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - A piano tuner uses a tuning fork that emits sound...Ch. 4 - The distant galaxy called Cygnus A is one of the...Ch. 4 - Hot objects can emit blackbody radiation that...Ch. 4 - Compare the energy (in joules) carried by an X-ray...Ch. 4 - The maximum in Planck’s formula for the emission...Ch. 4 - Prob. 50APCh. 4 - When ultraviolet light of wavelength 131 nm...Ch. 4 - Express the speed of the electron in the Bohr...Ch. 4 - Photons are emitted in the Lyman series as...Ch. 4 - Prob. 54APCh. 4 - The energies of macroscopic objects, as well as...Ch. 4 - Prob. 56APCh. 4 - Prob. 57APCh. 4 - It has been suggested that spacecraft could be...Ch. 4 - Prob. 59APCh. 4 - The normalized wave function for a particle in a...Ch. 4 - A particle of mass m is placed in a...
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- Investigating 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_forwardThe eyes of certain reptiles pass a single visual signal to the brain when the visual receptors are struck by photons of a wavelength of 850 nm. If a total energy of 3.151014 J is required to trip the signal, what is the minimum number of photons that must strike the receptor?arrow_forwardAs the weapons officer aboard the Srarship Chemistry, it is your duty to configure a photon torpedo to remove an electron from the outer hull of an enemy vessel. You know that the work function (the binding energy of the electron) of the hull of the enemy ship is 7.52 1019 J. a. What wavelength does your photon torpedo need to be to eject an electron? b. You find an extra photon torpedo with a wavelength of 259 nm and fire it at the enemy vessel. Does this photon torpedo do any damage to the ship (does it eject an electron)? c. If the hull of the enemy vessel is made of the element with an electron configura tion of [Ar]4s13d10, what metal is this?arrow_forward
- This laser emits green light with a wavelength of 533 nm. (a) What is the energy, in joules, of one photon of light at this wavelength? (b) If a particular laser produces 1.00 watt (W) of power (1 W = 1 J/s), how many photons are produced each second by the laser?arrow_forwardA baseball weighs 142 g. A professional pitcher throws a fast ball at a speed of 100 mph and a curve ball at 80 mph. What wavelengths are associated with the motions of the baseball? If the uncertainty in the position of the ball is 12 wavelength, which ball (fast ball or curve) has a more precisely known position? Can the uncertainty in the position of a curve ball be used to explain why batters frequently miss it?arrow_forward6.93 A mercury atom is initially in its lowest possible (or ground state) energy level. The atom absorbs a photon with a wavelength of 185 nm and then emits a photon with a frequency of 4.9241014HZ . At the end of this series of transitions, the atom will still be in an energy level above the ground state. Draw an energy-level diagram for this process and find the energy of this resulting excited state, assuming that we assign a value of E = 0 to the ground state. (This choice of E = 0 is not the usual convention, but it will simplify the calculations you need to do here.)arrow_forward
- The lasers used in supermarket scanners emit red light at a wavelength of 633 nm. Compact disc players use lasers that emit light (that is not visible) at 840 nm. Which photonsthose emitted by supermarket scanners or compact disc (CD) playerscontain more energy per photon? Supermarket scanners CD players They both contain the same amount of energy per photon.arrow_forward6.17 The laser in most supermarket barcode scanners operates at a wavelength of 632.8 nm. What is the energy of a single photon emitted by such a laser? What is the energy of one mole of these photons?arrow_forwardA 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_forward
- 6.71 Several excited states of the neon atom are important in the operation of a helium-neon laser. In these excited states, one electron of the neon atom is promoted from the 2p level to a higher energy orbital. An excited neon atom with a 1s22s22p55s1 electron configuration can emit a photon with a wavelength of 3391 nm as it makes a transition to a lower energy state with a 1s22s22p54p1 electron configuration. Other transitions are also possible. If an excited neon atom with a 1s22s22p53p1 electron configuration makes a transition to a lower energy state with a 1s22s22p53p1 electron configuration, it emits a photon with a wavelength of 632.8 nm. Find the wavelength of the photon that would be emitted in a transition from the 1s22s22p54p1 electron configuration to the 1s22s22p53p1 electron configuration. (It should help if you start by drawing an energy-level diagram.)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_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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