FT McGraw Hill CampusCn|||O ELECTRONIC STRUCTURE AND CHEMICAL BONDINGCalculating the wavelength of a line in the spectrum of hydrogenThe energy E of the electron in a hydrogen atom can be calculated from the Bohr formula:RyE = -√2x A ALEKS- Elizabeth Galaz - Learn X Galeks interconverting wavelength x +https://www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-liG1Sp4C1qHE9vg-2-exSXq493r_tJ2gZs0aV_J6nLynsAE... AClearIn this equation R, stands for the Rydberg energy, and stands for the principal quantum number of the orbital that holds the electron. (You can find the valueof the Rydberg energy using the Data button on the ALEKS toolbar.)ACalculate the wavelength of the line in the emission line spectrum of hydrogen caused by the transition of the electron from an orbital with n = 11 to an orbitalwith n= 7. Round your answer to 3 significant digits.0ExplanationCheckX$O Search3/5hp10.Eliz© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Access3-1003

The emission spectrum of the atomic hydrogen atom has been divided into a number of spectral series,…

The energy E of the electron in a hydrogen atom can be calculated from the Bohr formula: In this equation R, stands for the Rydberg energy, and n stands for the principal quantum number of the orbital that holds the electron. (You can find the value of the Rydberg energy using the Data button on the ALEKS toolbar.) Calculate the wavelength of the line in the emission line spectrum of hydrogen caused by the transition of the electron from an orbital with n=11 to an orbital with n=7. Round your answer to 3 significant digits.

The energy E of the electron in a hydrogen atom can be calculated from the Bohr formula: In this equation R, stands for the Rydberg energy, and n stands for the principal quantum number of the orbital that holds the electron. (You can find the value of the Rydberg energy using the Data button on the ALEKS toolbar.) Calculate the wavelength of the line in the emission line spectrum of hydrogen caused by the transition of the electron from an orbital with n=11 to an orbital with n=7. Round your answer to 3 significant digits.

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 59AP

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Consider an electron for a hydrogen atom in an excited state. The maximum wavelength of electromagnetic radiation that can completely remove (ionize) the electron from the H atom is 1460 nm. What is the initial excited state for the electron (n = ?)?
The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=( 1 a 0 3 )1/2exp(r a 0 )ao=0.5291010m (a) What is the probability of finding the electron inside a sphere of volume 1.0pm2 , centered at the nucleus (1pm=1012m) ? (b) What is the probability of finding the electron in a volume of 1.0pm2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?
Use the mathematical expression for the 2pz wave function of a one-electron atom (see Table 5.2) to show that the probability of finding an electron in that orbital anywhere in the x-y plane is 0. What are the nodal planes for a dxz orbital and for a dx2y2 orbital?
The energies of macroscopic objects, as well as those of microscopic objects, are quantized, but the effects of the quantization are not seen because the difference in energy between adjacent states is so small. Apply Bohr’s quantization of angular momentum to the revolution of Earth (mass6.01024kg) , which moves with a speed of 3.0104ms1 in a circular orbit (radius1.51011m) about the sun. The sun can be treated as fixed. Calculate the value of the quantum number n for the present state of the Earthsun system. What would be the effect of an increase in n by 1?
The wave function for the 2pz, orbital in the hydrogen atom is 2pl=142(za0)3/2e/2cos where a0 is the value for the radius of the first Bohr orbit in meters (5.29 | 1011), is Z(r/a0), r is the value for the distance from the nucleus in meters, and is an angle. Calculate the value of 2pz2 at r = a0 for = 0 (z axis) and for = 90 (xy plane).
6.106 When Bohr devised his model for the atom, was he using deductive or inductive reasoning? Explain your answer.
(a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) to calculate the value of r for which a node exists. (b) Find the values of r for which nodes exist for the 3s wave function of the hydrogen atom.
How does probability fit into the description of the atom?
Using Table 5.2, write down the mathematical expression for the 2px wave function for an electronically excited H atom. Estimate the probability of finding the 2px electron if you look in a cubical box of volume of 0.8(pm)3 centered at a distance of 0.5001010m in the =/2 , =0 direction. Does this probability change as you change ? At what angles is the probability of finding the electron smallest and at what angles is the probability the largest? (Note that =2 is the same location as =0 , so don’t double count.)