To verify: The equation E n = − ( 13.6 eV ) Z 2 n 2 by considering a single-electron atom with nuclear charge Z e instead of e .

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Answer 1

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Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

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Before the neutron was discovered, the only possible constitution of a nucleus with a given (A,Z) was A protons and (A-Z) electrons, leaving a net charge of +Ze. Early indications were that the nitrogen nucleus (A = 14,Z = 7) had a total angular mo- mentum that was an integral multiple of ħ. Is this consistent with a nucleus made of A protons and A-Z electrons? How does the inclusion of neutrons change things?

(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is αc/n, where α is the fine structure constant, equal to e2/4πε0ħc. (b) What would be the speed in a hydrogen like atom with a nuclear charge of Ze?

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Answer 2

Question

Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

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Answer 3

Question

Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

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Answer 4

Question

Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

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Answer 5

Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

Answer 6

Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

Answer 7

Chapter 36, Problem 67P

(a)

To determine

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

Answer 8

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

Answer 9

(b)

To determine

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 36.1 - Prob. 36.1GI Ch. 36.2 - Prob. 36.2GI Ch. 36.3 - Prob. 36.3GI Ch. 36.4 - Prob. 36.4GI Ch. 36.5 - Prob. 36.5GI Ch. 36 - Prob. 1FTD Ch. 36 - Prob. 2FTD Ch. 36 - Prob. 3FTD Ch. 36 - Prob. 4FTD Ch. 36 - Prob. 5FTD

To verify: The equation E n = − ( 13.6 eV ) Z 2 n 2 by considering a single-electron atom with nuclear charge Z e instead of e .

Solution Summary: The author explains how the equation E_n=-(13.6eV)Z2

Concept explainers

To verify: The equation En=−(13.6 eV)Z2n2 by considering a single-electron atom with nuclear charge Ze instead of e .

The ionization energies for single-electron versions of helium, oxygen, lead and uranium.

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Chapter 36 Solutions