Explanation Given info: The values of n for neutral hydrogen, singly ionized helium and doubly ionized lithium are 3 , 2 and 1 respectively. (A) Formula to calculate the Bohr energy is, E n = − 13.6 Z 2 n 2 eV Here, E n is the energy of n t h orbit. Z is the atomic number of an atom. n is the number of orbit. The value of Z for hydrogen is 1 . Substitute the values of Z and n in the above expression to get E n . E 3 = − 13.6 ( 1 ) 2 ( 3 ) 2 eV = − 13.6 9 eV = − 1 .51 eV Thus, the energy of third orbit in hydrogen atom is − 1 .51 eV . Similarly, (B) Calculate the Bohr energy for singly ionized helium atom. The value of Z for helium is 2 . Substitute the values of Z and n in the expression of Bohr energy. E 2 = − 13.6 ( 2 ) 2 ( 2 ) 2 eV = − 54

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Chapter 31, Problem 13PCE

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The order of increasing energy for given substances.

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Chapter 31, Problem 12PCE

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Consider the Bohr model as applied to the following three atoms: (A) neutral hydrogen in the state n = 2; (B) singly ionized helium in the state n = 1; (C) doubly ionized lithium in the state n = 3. Part A Q Search Rank these three atoms in order of decreasing orbital radius. Rank atoms from largest to smallest Bohr radius. To rank items as equivalent, overlap them. Largest P Pearson atom A atom B atom C Reset Help Smallest Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | 7:18 PM 12/11/2022

An electron in the hydrogen atom is in the 4s state. (a) Find the orbital angular momentum of the electron (in units of h). (b) Find the energy of the electron (in eV). (c) Ignoring electron spin, find the total number of quantum states that have this same energy. (d) Make a table listing the uantum numbers n, I, and ms of each of the degenerate states. Indicate the spectroscopic label (e.g. 1s, 2s, etc) that would apply to each state.

The energy E of the electron in a hydrogen atom can be calculated from the Bohr formula: R 23 n² E In this equation R, stands for the Rydberg energy, and 12 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 absorption line spectrum of hydrogen caused by the transition of the electron from an orbital with n=5 to an orbital with n=9. Round your answer to 3 significant digits. 0 Line X S

Chapter 31 Solutions

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