The minimum frequency of light needed to eject electrons from a metal is called the threshold frequency, vo.Find the minimum energy needed to eject electrons from a metal with a threshold frequency of 3.09 x 1014 s-.Eo =JWith what maximum kinetic energy will electrons be ejected when this metal is exposed to light with a wavelength of 285 nm?KEelectronJ%3D1A étvWMacBook Air80DO0D00DIDDF3F4F5F6F7F8F9F10F11F12%24&25

The minimum energy needed to eject electrons from a metal is, Eb = hv0 where, E = minimum energy, h…

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Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter4: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 50AP

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(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.
6.29 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?
You 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?
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 only
6.27 Refer w the data and energy-Ievel diagram shown in Problem 6.26, and find the wavelength of light that would be emitted when a hydrogen atom undergoes the transition from the state labeled as n = 4 to the state labeled as n = 2. Express your answer in nm.
In the photoelectric effect, electrons are ejected from a metal surface when light strikes it. A certain minimum energy, Emin, is required to eject an electron. Any energy absorbed beyond that minimum gives kinetic energy to the electron. It is found that when light at a wavelength of 540 nm falls on a cesium surface, an electron is ejected with a kinetic energy of 2.601020J. When the wavelength is 400 nm, the kinetic energy is 1.541019J. (a) Calculate Emin for cesium in joules. (b) Calculate the longest wavelength, in nanometers, that will eject electrons from cesium.
An energy of 3.3 1019 J/atom is required to cause a cesium atom on a metal surface to lose an electron. Calculate the longest possible wavelength of light that can ionize a cesium atom. In what region of the electromagnetic spectrum is that radiation found?
One type of electromagnetic radiation has a frequency of 107.1 MHz, another type has a wavelength of 2.12 1010 m, and another type of electromagnetic radiation has photons with energy equal to 3.97 1019 J/pboton. Identify each type of electromagnetic radiation and place them in order of increasing photon energy and increasing frequency.
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?
The figure below represents part of the emission spectrum for a one-electron ion in lhe gas phase. All the lines result from electronic transitions from excited states to the n = 3 state. (See Exercise 160.) a. What electronic transitions correspond to lines A and B? b. If the wavelength of line B is 142.5 nm, calculate the wavelength of line A.

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The Find the minimum energy needed to eject electrons from a metal with a threshold frequency of 3.09 x 1014 s-. E, = With what maximum kinetic energy will electrons be ejected when this metal is exposed to light with a wavelength of 285 nm? KEelectron =