Chemical Principles
Chemical Principles
8th Edition
ISBN: 9781305581982
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Chapter 12, Problem 50E

a)

Interpretation Introduction

Interpretation:Energy required to remove electron in ground state for H atom with help of Bohr’s model is to be determined.

Concept introduction:Phenomenon that occurs either by emission or absorption of electrons from one energy level to another is known as electronic transition. Absorption takes place if transition from lower to higher energy level is observed. Emission takes place if transition is from higher to lower energy level.

Expression for energy of electrons in hydrogen atom is as follows:

  E=2.178×1018 J(Z2n2)

Where,

  • E is energy of electrons.
  • Z is atomic number.
  • n is integer.

a)

Expert Solution
Check Mark

Explanation of Solution

For H atom,

Value of Z is 1.

Value of n is 1.

Substitute the values in above equation.

  E=2.178×1018 J(Z2n2)=2.178×1018 J((1)2(1)2)=2.178×1018 J

This energy is to be converted into kJ/mol as follows:

  E=(2.178×1018 J)(103 kJ1 J)(6.023×1023)=1308797.9 kJ/mol

Hence required energy is 1308797.9 kJ/mol .

b)

Interpretation Introduction

Interpretation: Energy required to remove electron in ground state for He+ atom with help of Bohr’s model is to be determined.

Concept introduction: Phenomenon that occurs either by emission or absorption of electrons from one energy level to another is known as electronic transition. Absorption takes place if transition from lower to higher energy level is observed. Emission takes place if transition is from higher to lower energy level.

Expression for energy of electrons in hydrogen atom is as follows:

  E=2.178×1018 J(Z2n2)

Where,

  • E is energy of electrons.
  • Z is atomic number.
  • n is integer.

b)

Expert Solution
Check Mark

Explanation of Solution

For He+ atom,

Value of Z is 2.

Value of n is 1.

Substitute the values in above equation.

  E=2.178×1018 J(Z2n2)=2.178×1018 J((2)2(1)2)=8.712×1018 J

This energy is to be converted into kJ/mol as follows:

  E=(8.712×1018 J)(103 kJ1 J)(6.023×1023)=5247.2376 kJ/mol

Hence required energy is 5247.2376 kJ/mol .

c)

Interpretation Introduction

Interpretation: Energy required to remove electron in ground state for Li2+ atom with help of Bohr’s model is to be determined.

Concept introduction: Phenomenon that occurs either by emission or absorption of electrons from one energy level to another is known as electronic transition. Absorption takes place if transition from lower to higher energy level is observed. Emission takes place if transition is from higher to lower energy level.

Expression for energy of electrons in hydrogen atom is as follows:

  E=2.178×1018 J(Z2n2)

Where,

  • E is energy of electrons.
  • Z is atomic number.
  • n is integer.

c)

Expert Solution
Check Mark

Explanation of Solution

For Li2+ atom,

Value of Z is 3.

Value of n is 1.

Substitute the values in above equation.

  E=2.178×1018 J(Z2n2)=2.178×1018 J((3)2(1)2)=19.602×1018 J

This energy is to be converted into kJ/mol as follows:

  E=(19.602×1018 J)(103 kJ1 J)(6.023×1023)=11806.2846 kJ/mol

Hence required energy is 11806.2846 kJ/mol .

d)

Interpretation Introduction

Interpretation: Energy required to remove electron in ground state for C5+ atom with help of Bohr’s model is to be determined.

Concept introduction: Phenomenon that occurs either by emission or absorption of electrons from one energy level to another is known as electronic transition. Absorption takes place if transition from lower to higher energy level is observed. Emission takes place if transition is from higher to lower energy level.

Expression for energy of electrons in hydrogen atom is as follows:

  E=2.178×1018 J(Z2n2)

Where,

  • E is energy of electrons.
  • Z is atomic number.
  • n is integer.

d)

Expert Solution
Check Mark

Explanation of Solution

For C5+ atom,

Value of Z is 6.

Value of n is 1.

Substitute the values in above equation.

  E=2.178×1018 J(Z2n2)=2.178×1018 J((6)2(1)2)=78.408×1018 J

This energy is to be converted into kJ/mol as follows:

  E=(78.408×1018 J)(103 kJ1 J)(6.023×1023)=47225.1384 kJ/mol

Hence required energy is 47225.1384 kJ/mol .

e)

Interpretation Introduction

Interpretation: Energy required to remove electron in ground state for Fe25+ atom with help of Bohr’s model is to be determined.

Concept introduction: Phenomenon that occurs either by emission or absorption of electrons from one energy level to another is known as electronic transition. Absorption takes place if transition from lower to higher energy level is observed. Emission takes place if transition is from higher to lower energy level.

Expression for energy of electrons in hydrogen atom is as follows:

  E=2.178×1018 J(Z2n2)

Where,

  • E is energy of electrons.
  • Z is atomic number.
  • n is integer.

e)

Expert Solution
Check Mark

Explanation of Solution

For Fe25+ atom,

Value of Z is 26.

Value of n is 1.

Substitute the values in above equation.

  E=2.178×1018 J(Z2n2)=2.178×1018 J((26)2(1)2)=1472.328×1018 J

This energy is to be converted into kJ/mol as follows:

  E=(1472.328×1018 J)(103 kJ1 J)(6.023×1023)=886783.1544 kJ/mol

Hence required energy is 886783.1544 kJ/mol .

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Chapter 12 Solutions

Chemical Principles

Ch. 12 - Prob. 11DQCh. 12 - Prob. 12DQCh. 12 - Prob. 13DQCh. 12 - Prob. 14DQCh. 12 - Prob. 15DQCh. 12 - Prob. 16DQCh. 12 - Prob. 17DQCh. 12 - Is the following statement true or false: The...Ch. 12 - Which is higher in energy: the 2s or 2p orbital in...Ch. 12 - Prove mathematically that it is more energetically...Ch. 12 - Microwave radiation has a wavelength on the order...Ch. 12 - Consider the following waves representing...Ch. 12 - Prob. 23ECh. 12 - Human color vision is “produced” by the nervous...Ch. 12 - One type of electromagnetic radiation has a...Ch. 12 - Carbon absorbs energy at a wavelength of 150. nm....Ch. 12 - Prob. 27ECh. 12 - X rays have wavelengths on the order of 110-10m...Ch. 12 - The work function of an element is the energy...Ch. 12 - Ionization energy is the energy required to remove...Ch. 12 - It takes 208.4 kJ of energy to remove 1 mole of...Ch. 12 - What experimental evidence supports the quantum...Ch. 12 - Explain the photoelectric effect.Ch. 12 - Calculate the de Broglie wavelength for each of...Ch. 12 - Neutron diffraction is used in determining the...Ch. 12 - Calculate the velocities of electrons with de...Ch. 12 - An atom of a particular element is traveling at 1%...Ch. 12 - Characterize the Bohr model of the atom. In the...Ch. 12 - Prob. 39ECh. 12 - Consider only the transitions involving the first...Ch. 12 - Calculate the longest and shortest wavelengths of...Ch. 12 - Prob. 42ECh. 12 - Assume that a hydrogen atom’s electron has been...Ch. 12 - What is the maximum wavelength of light capable...Ch. 12 - An electron is excited from the ground state to...Ch. 12 - Does a photon of visible light (=400700nm)...Ch. 12 - An excited hydrogen atom emits light with a...Ch. 12 - An excited hydrogen atom with an electron in the n...Ch. 12 - Consider an electron for a hydrogen atom in an...Ch. 12 - Prob. 50ECh. 12 - One of the emission spectral lines for Be3+ has a...Ch. 12 - The Heisenberg uncertainty principle can be...Ch. 12 - Using the Heisenberg uncertainty principle,...Ch. 12 - We can represent both probability and radial...Ch. 12 - Prob. 55ECh. 12 - Calculate the wavelength of the electromagnetic...Ch. 12 - An electron in a one-dimensional box requires a...Ch. 12 - An electron in a 10.0-nm one-dimensional box is...Ch. 12 - Prob. 59ECh. 12 - What is the total probability of finding a...Ch. 12 - Which has the lowest (ground-state) energy, an...Ch. 12 - What are quantum numbers? What information do...Ch. 12 - How do 2p orbitals differ from each other? How do...Ch. 12 - Identify each of the following orbitals, and...Ch. 12 - Which of the following orbital designations are...Ch. 12 - Prob. 66ECh. 12 - The following sets of quantum numbers are not...Ch. 12 - How many orbitals can have the designation 5p,...Ch. 12 - How many electrons in an atom can have the...Ch. 12 - Prob. 70ECh. 12 - Prob. 71ECh. 12 - From the diagrams of 2p and 3p orbitals in Fig....Ch. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Total radial probability distributions for the...Ch. 12 - The relative orbital levels for the hydrogen atom...Ch. 12 - What is the difference between core electrons and...Ch. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - The elements of Si, Ga, As, Ge, Al, Cd, S, and Se...Ch. 12 - Write the expected electron configurations for the...Ch. 12 - Write the expected electron configurations for...Ch. 12 - Prob. 83ECh. 12 - Using Fig. 12.29, list elements (ignore the...Ch. 12 - Prob. 85ECh. 12 - Prob. 86ECh. 12 - Prob. 87ECh. 12 - Prob. 88ECh. 12 - Prob. 89ECh. 12 - Prob. 90ECh. 12 - Prob. 91ECh. 12 - Prob. 92ECh. 12 - Prob. 93ECh. 12 - Prob. 94ECh. 12 - Prob. 95ECh. 12 - A certain oxygen atom has the electron...Ch. 12 - Prob. 97ECh. 12 - Prob. 98ECh. 12 - Prob. 99ECh. 12 - Explain why the first ionization energy tends to...Ch. 12 - Prob. 101ECh. 12 - The radius trend and the ionization energy trend...Ch. 12 - Prob. 103ECh. 12 - Prob. 104ECh. 12 - In each of the following sets, which atom or ion...Ch. 12 - Prob. 106ECh. 12 - Prob. 107ECh. 12 - Prob. 108ECh. 12 - Prob. 109ECh. 12 - Prob. 110ECh. 12 - Prob. 111ECh. 12 - Consider the following ionization energies for...Ch. 12 - Prob. 113ECh. 12 - Prob. 114ECh. 12 - Prob. 115ECh. 12 - Prob. 116ECh. 12 - Prob. 117ECh. 12 - Prob. 118ECh. 12 - Prob. 119ECh. 12 - Prob. 120ECh. 12 - Prob. 121ECh. 12 - Prob. 122ECh. 12 - Prob. 123ECh. 12 - Prob. 124ECh. 12 - Prob. 125ECh. 12 - Prob. 126ECh. 12 - Prob. 127ECh. 12 - Prob. 128AECh. 12 - Prob. 129AECh. 12 - Prob. 130AECh. 12 - Prob. 131AECh. 12 - Prob. 132AECh. 12 - Prob. 133AECh. 12 - Prob. 134AECh. 12 - Prob. 135AECh. 12 - Prob. 136AECh. 12 - Prob. 137AECh. 12 - Prob. 138AECh. 12 - Prob. 139AECh. 12 - An unknown element is a nonmetal and has a...Ch. 12 - Prob. 141AECh. 12 - Using data from this chapter, calculate the change...Ch. 12 - Answer the following questions, assuming that ms...Ch. 12 - Prob. 144AECh. 12 - Prob. 145AECh. 12 - Prob. 146AECh. 12 - The figure below represents part of the emission...Ch. 12 - Prob. 148AECh. 12 - Prob. 149AECh. 12 - Prob. 150AECh. 12 - Prob. 151AECh. 12 - Prob. 152AECh. 12 - Prob. 153AECh. 12 - Identify the following three elements. a. The...Ch. 12 - Prob. 155AECh. 12 - Prob. 156AECh. 12 - Prob. 157AECh. 12 - Prob. 158CPCh. 12 - The ground state ionization energy for the one...Ch. 12 - When the excited electron in a hydrogen atom falls...Ch. 12 - Prob. 161CPCh. 12 - The following numbers are the ratios of second...Ch. 12 - Prob. 163CPCh. 12 - Prob. 164CPCh. 12 - Prob. 165CPCh. 12 - Prob. 166CPCh. 12 - The ionization energy for a 1s electron in a...Ch. 12 - Without looking at data in the text, sketch a...
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