A sodium atom (Z = 11) contains 11 protons in its nucleus. Strictly speaking, the Bohr model does not apply, because the neutral atom contains 11 electrons instead of a single electron. However, we can apply the model to the outermost electron as an approximation, provided that we use an effective value Zeffective rather than 11 for the number of protons in the nucleus. (a) The ionization energy for the outermost electron in a sodium atom is 5.1 eV. Use the Bohr model with Z = Zeffective to calculate a value for Zeffective. (b) Using Z = 11, determine the corresponding value for the radius r of the outermost Bohr orbit. (c) Using the value calculated for Zeffective in part (a), determine the corresponding radius r of the outermost Bohr orbit. (a) Zeffective = Number i (b) _r= (c) r= Number i Number i Units Units Units

University Physics Volume 3
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ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter8: Atomic Structure
Section: Chapter Questions
Problem 37P: What is the probability that the is electron of a hydrogen atom is found outside the Bohr radius?
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A sodium atom (Z = 11) contains 11 protons in its nucleus. Strictly speaking, the Bohr model does not apply,
because the neutral atom contains 11 electrons instead of a single electron. However, we can apply the model to
the outermost electron as an approximation, provided that we use an effective value Zeffective rather than 11 for
the number of protons in the nucleus. (a) The ionization energy for the outermost electron in a sodium atom is
5.1 eV. Use the Bohr model with Z = Zeffective to calculate a value for Zeffective. (b) Using Z = 11, determine the
corresponding value for the radius r of the outermost Bohr orbit. (c) Using the value calculated for Zeffective in part
(a), determine the corresponding radius r of the outermost Bohr orbit.
(a) Zeffective = Number i
(b)_r=
(c)_r=
Number i
Number i
Units
Units
Units
Transcribed Image Text:A sodium atom (Z = 11) contains 11 protons in its nucleus. Strictly speaking, the Bohr model does not apply, because the neutral atom contains 11 electrons instead of a single electron. However, we can apply the model to the outermost electron as an approximation, provided that we use an effective value Zeffective rather than 11 for the number of protons in the nucleus. (a) The ionization energy for the outermost electron in a sodium atom is 5.1 eV. Use the Bohr model with Z = Zeffective to calculate a value for Zeffective. (b) Using Z = 11, determine the corresponding value for the radius r of the outermost Bohr orbit. (c) Using the value calculated for Zeffective in part (a), determine the corresponding radius r of the outermost Bohr orbit. (a) Zeffective = Number i (b)_r= (c)_r= Number i Number i Units Units Units
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Calcuations are incorrect, can I have help with explanation please

A sodium atom (Z = 11) contains 11 protons in its nucleus. Strictly speaking, the Bohr model does not apply,
because the neutral atom contains 11 electrons instead of a single electron. However, we can apply the model to
the outermost electron as an approximation, provided that we use an effective value Zeffective rather than 11 for
the number of protons in the nucleus. (a) The ionization energy for the outermost electron in a sodium atom is
5.1 eV. Use the Bohr model with Z = Zeffective to calculate a value for Zeffective. (b) Using Z = 11, determine the
corresponding value for the radius r of the outermost Bohr orbit. (c) Using the value calculated for Zeffective in part
(a), determine the corresponding radius r of the outermost Bohr orbit.
(a) Zeffective = Number i 2.04
(b) _r=
(c)_r=
Number i
5.29E-11
Number i 2.12E-11
Units No units
Units
m
Units m
♥
Transcribed Image Text:A sodium atom (Z = 11) contains 11 protons in its nucleus. Strictly speaking, the Bohr model does not apply, because the neutral atom contains 11 electrons instead of a single electron. However, we can apply the model to the outermost electron as an approximation, provided that we use an effective value Zeffective rather than 11 for the number of protons in the nucleus. (a) The ionization energy for the outermost electron in a sodium atom is 5.1 eV. Use the Bohr model with Z = Zeffective to calculate a value for Zeffective. (b) Using Z = 11, determine the corresponding value for the radius r of the outermost Bohr orbit. (c) Using the value calculated for Zeffective in part (a), determine the corresponding radius r of the outermost Bohr orbit. (a) Zeffective = Number i 2.04 (b) _r= (c)_r= Number i 5.29E-11 Number i 2.12E-11 Units No units Units m Units m ♥
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