Concept explainers
(a)
Interpretation:
The given electron transition in the hydrogen atom leads to the emission of light with the longest wavelength or not and whether it has the greatest photon energy or not is to be determined.
(b)
Interpretation:
The given electron transition in the hydrogen atom leads to the emission of light with the longest wavelength or not and whether it has the greatest photon energy or not is to be determined.
(c)
Interpretation:
The given electron transition in the hydrogen atom leads to the emission of light with the longest wavelength or not and whether it has the greatest photon energy or not is to be determined.
(d)
Interpretation:
The given electron transition in the hydrogen atom leads to the emission of light with the longest wavelength or not and whether it has the greatest photon energy or not is to be determined.
(e)
Interpretation:
Whether all the given transitions will result in the emission of light of the same wavelength or not is to be determined.
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Chapter 7 Solutions
EBK INTRODUCTION TO CHEMISTRY
- The energy emitted when an electron moves from a higher energy state to a lower energy state in any atom can be observed as electromagnetic radiation. (a) Which involves the emission of less energy in the H atom, an electron moving from n = 4 to n = 2 or an electron moving from n = 3 to n = 2? (b) Which involves the emission of more energy in the H atom, an electron moving from n = 4 to n = 1 or an electron moving from n = 5 to n = 2? Explain fully.arrow_forward6.29 A mercury atom emits light at many wavelengths, two of which are at 435.8 and 546.1 nm. Both of these transitions are to the same final state. (a) What is the energy difference between the two states for each transition? (b) lf a transition between the two higher energy states could be observed, what would be the frequency of the light?arrow_forward(a) Give the complete electron configuration (1s22s22p) of aluminum in the ground state. (b) The wavelength of the radiation emitted when the outermost electron of aluminum falls from the 4s state to the ground state is about 395 nm. Calculate the energy separation (in joules) between these two states in the Al atom. (c) When the outermost electron in aluminum falls from the 3d state to the ground state, the radiation emitted has a wavelength of about 310 nm. Draw an energylevel diagram of the states and transitions discussed here and in (b). Calculate the separation (in joules) between the 3d and 4s states in aluminum. Indicate clearly which has higher energy.arrow_forward
- As 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_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_forwardYou are an engineer designing a switch that works by the photoelectric effect. The metal you wish to use in your device requires 6.7 1019 J/atom to remove an electron. Will the switch work if the light falling on the metal has a wavelength of 540 nm or greater? Why or why not?arrow_forward
- Which of the following statements is (are) true? I. The product of wavelength and frequency of light is a constant. II. As the energy of electromagnetic radiation increases, its frequency decreases. III. As the wavelength of light increases, its frequency increases. a I only b II only c III only d I and III only e II and III onlyarrow_forwardThe most prominent line in the emission spectrum of magnesium is 285.2 nm. Other lines are found at 383.8 and 518.4 nm. In what region of the electromagnetic spectrum are these lines? What is the energy of 1.00 mol of photons with the wavelength of the most energetic line?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_forward
- Given the following energy level diagram for an atom that contains an electron in the n = 3 level, answer the following questions. a Which transition of the electron will emit light of the lowest frequency? b Using only those levels depicted in the diagram, which transition of the electron would require the highest-frequency light? c If the transition from the n = 3 level to the n = 1 level emits green light, what color light is absorbed when an electron makes the transition from the n = 1 to n = 3 level?arrow_forwardSuppose hydrogen atoms absorb energy so that electrons are excited to the n = 7 energy level. Electrons then undergo these transitions, among others: (a) n = 7 n = 1; (b) n = 7 n = 6; and (c) n = 2 n = 1. Which of these transitions produces a photon with (i) the smallest energy, (ii) the highest frequency, and (iii) the shortest wavelength?arrow_forward6.28 A neon atom cmi light at many wavelengths, two of which are at 616.4 and 638.3 nm. Both of these transitions are to the same final state. (a) What is the energy difference between the two states for each transition? (b) If a transition between the two higher energy states could be observed, what would be the frequency of the light?arrow_forward
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