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(a)
Interpretation:
A general expression for the ionization energy of a one electron species is to be written.
Concept introduction:
Ionization energy is defined as the amount of energy required to remove an electron from an isolated gaseous atom. The energy required to remove an electron from an atom depends on the position of the electron in the atom. The closer the electron is to the nucleus in the atom, the harder it is to pull it out of the atom. As the distance of an electron from the nucleus increases, the magnitude of the forces of attraction between the electron and the nucleus decreases. Thus it becomes easier to remove it from the atom.
The equation to find the difference in the energy between the two levels in hydrogen-like atoms is,
(a)
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Answer to Problem 7.74P
The general expression for the ionization energy of one mole of a one electron species is
Explanation of Solution
The ionization energy of an atom is the minimum amount of energy required to completely remove the outermost electron from it. An electron is completely removed from an atom when the value of
Substitute
For one mole of one electron species, the equation becomes,
The general expression for the ionization energy of one mole of a one electron species is
(b)
Interpretation:
The ionization energy of
Concept introduction:
Ionization energy is defined as the amount of energy required to remove an electron from an isolated gaseous atom. The energy required to remove an electron from an atom depends on the position of the electron in the atom. The closer the electron is to the nucleus in the atom, the harder it is to pull it out of the atom. As the distance of an electron from the nucleus increases, the magnitude of the forces of attraction between the electron and the nucleus decreases. Thus it becomes easier to remove it from the atom.
The general expression for the ionization energy of one mole of a one electron species is
(b)
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Answer to Problem 7.74P
The ionization energy of
Explanation of Solution
The symbol
Substitute 5 for
The ionization energy of
(c)
Interpretation:
The minimum wavelength required to remove the electron from the
Concept introduction:
Ionization energy is defined as the amount of energy required to remove an electron from an isolated gaseous atom. The energy required to remove an electron from an atom depends on the position of the electron in the atom. The closer the electron is to the nucleus in the atom, the harder it is to pull it out of the atom. As the distance of an electron from the nucleus increases, the magnitude of the forces of attraction between the electron and the nucleus decreases. Thus it becomes easier to remove it from the atom.
The equation that relates to the frequency and wavelength of
Here,
Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:
Here,
The above relation can be modified as follows:
(c)
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Answer to Problem 7.74P
The minimum wavelength required to remove the electron from the
Explanation of Solution
Substitute
Substitute
Rearrange the above equation and calculate the value for
The minimum wavelength required to remove the electron from the
(d)
Interpretation:
The minimum wavelength required to move the electron from
Concept introduction:
The equation to find the difference in the energy between the two levels in hydrogen-like atoms is,
The equation that relates to the frequency and wavelength of electromagnetic radiation is as follows:
Here,
Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:
Here,
The above relation can be modified as follows:
(d)
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Answer to Problem 7.74P
The minimum wavelength required to move the electron from
Explanation of Solution
Substitute
Substitute
Rearrange the above equation and calculate the value for
The minimum wavelength required to move the electron from
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Chapter 7 Solutions
Student Study Guide for Silberberg Chemistry: The Molecular Nature of Matter and Change
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