Question 1

What is the total number of subshells in the n = 3 level?

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Question 2

Two possible states for the hydrogen atom are labeled A and B.The maximum magnetic quantum number for state A is +3.For state B, the maximum value is +1.What is the ratio of the magnitudes of the orbital angular momenta, L_A/L_B, of an electron in these two states?

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Question 3

What is the shortest possible wavelength in the Lyman series for atomic hydrogen?

Accepted Answer

The Lyman series involves transitions from higher energy levels to the n=1 energy level in a hydrogen atom. The shortest possible wavelength in the Lyman series can be obtained by plugging n=2 (the second highest energy level in a hydrogen atom) into the formula for the Lyman series:

1/λ = R*(1/1^2 - 1/2^2)

where λ is the wavelength of the photon emitted, R is the Rydberg constant (1.0974 x 10^7 m^-1), and n is the initial energy level.

Solving for λ, we get:

λ = 91.3 nm

Therefore, the correct answer is choice A.

Question 4

Which one of the following electronic configurations corresponds to an atomic ground state?

Accepted Answer

The ground state electronic configuration of an atom is the lowest-energy arrangement of electrons in the atom. The Aufbau principle states that electrons fill orbitals in order of increasing energy, so we can determine the ground state configuration by following this principle and filling up the orbitals in the correct order. The correct order of filling is 1s, 2s, 2p, 3s, 3p, etc.

Option D has the correct order of filling, with two electrons in the 1s orbital, two electrons in the 2s orbital, and three electrons in the 2p orbital (one in each of the three available p orbitals). This configuration has the lowest energy and is therefore the ground state configuration.

Option A is incorrect because it has one electron in the 2p orbital with a spin of 0, which violates the Pauli exclusion principle that states that no two electrons in an atom can have the same set of four quantum numbers.

Option B is incorrect because it has only one electron in the 2p orbital, which violates Hund's rule that states that electrons will fill each orbital with one electron before pairing up.

Option C is incorrect because it has an electron in the 3p orbital, which is not the lowest energy orbital for a third energy level electron.

Question 5

Determine the kinetic energy of an electron that has a de Broglie wavelength equal to twice the diameter of the hydrogen atom.Assume that the hydrogen atom is a sphere of radius 5.3 × 10^-¹¹ m.

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Question 6

The electron in a hydrogen atom is in the n = 3 state.What is(are) the possible value(s) for an emitted photon?

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Question 7

Which one of the following factors best explains why the six electrons of a carbon atom are not all in the 1s state?

Accepted Answer

The Pauli exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers (n, l, ml, ms). Since the 1s orbital can only hold a maximum of 2 electrons (with opposite spins), the remaining four electrons in a carbon atom must occupy higher energy orbitals such as 2s and 2p in order to obey the Pauli exclusion principle.

Question 8

Which quantum number applies to most of the electrons in a collection of hydrogen atoms at room temperature?

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Question 9

An electron in a hydrogen atom is described by the quantum numbers: n = 7 and m_l = 4.What are the possible values for the orbital quantum number ?

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Question 10

What energy (in eV) is required to remove the remaining electron from a singly ionized helium atom, He⁺ (Z = 2)?

Accepted Answer

The given ionization state suggests that one electron has already been removed from the neutral helium atom. Therefore, we need to calculate the energy required to remove the remaining electron from the singly ionized helium. This is the same as finding the ionization energy of He+.

Using the Rydberg formula, we have:

1/λ = RZ^2(1/n1^2 - 1/n2^2)

where R is the Rydberg constant, Z is the atomic number, and n1 and n2 are the initial and final energy levels, respectively.

For He+, Z = 2 and n1 = 2 (since it is already singly ionized). To completely remove the remaining electron, the final energy state would be n2 = infinity. Thus:

1/λ = R(2^2)(1/2^2 - 1/infinity^2)

Simplifying, we get:

1/λ = 4R/4 = R

The energy of a photon is given by E = hc/λ, where h is Planck's constant and c is the speed of light. Therefore:

E = hc/λ = Rhc

Plugging in values:

E = (2.18 x 10^-18 J)(3 x 10^8 m/s) / (1.097 x 10^7 m^-1)

E = 54.4 eV

Therefore, the energy required to remove the remaining electron from a singly ionized helium atom is 54.4 eV, which is option D.

Question 11

How many electrons could be accommodated in an f subshell?

Accepted Answer

The f subshell can hold a maximum of 14 electrons. This is because the f subshell has 7 orbitals, each of which can hold 2 electrons (one with spin up and one with spin down). Therefore, the total number of electrons that can be accommodated in the f subshell is 7 x 2 = 14.

Question 12

Complete the following statement: An h subshell refers to orbital quantum number

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Question 13

Which one of the following subshells is not compatible with a principle quantum number of n = 4?

Accepted Answer

The subshell with a value of g is not a valid subshell according to the principles of quantum mechanics. The maximum value for the angular momentum quantum number (l) is n-1, so for n=4 the possible values of l are 0, 1, 2, and 3 (s, p, d, and f subshells). There is no g subshell.

Question 14

Determine the maximum number of electron states with principal quantum number n = 3?

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Question 15

According to the quantum mechanical picture of the atom, which one of the following statements is true concerning the magnitude of the angular momentum L of an electron in the n = 3 level of the hydrogen atom?

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Question 16

To which model of atomic structure does the Pauli exclusion principle apply?

Accepted Answer

The Pauli exclusion principle applies to the quantum mechanical atom, which takes into account the wave-particle duality of electrons and their various energy levels and orbitals.

Question 17

According to the quantum mechanical picture of the atom, which one of the following is a true statement concerning the ground state electron in a hydrogen atom?

Accepted Answer

According to the quantum mechanical picture of the atom, the ground state electron in a hydrogen atom has the lowest possible energy and therefore the lowest possible angular momentum. The only type of angular momentum the electron can have in the ground state is orbital angular momentum, which corresponds to the electron's motion around the nucleus. Therefore, the ground state electron has zero orbital angular momentum (choice E). Choices A, B, and C are incorrect because the ground state electron has non-zero kinetic and binding energies, and ionization energy is the energy required to remove an electron completely from an atom, which is not applicable to the ground state. Choice D is incorrect because the ground state electron must have a non-zero spin angular momentum of 1/2.

Question 18

The principle quantum number for the electron in a hydrogen atom is n = 5.According to the quantum mechanical picture of the atom, what is the maximum possible value for the magnitude of the z-component of the angular momentum of the electron?

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Question 19

According to the Bohr model, what is the radius of a hydrogen atom when its electron is excited to the n = 9 state?

Accepted Answer

According to the Bohr model, the radius of an atom in the nth state is given by the formula: r = n²a₀/Z, where a₀ is the Bohr radius (5.29 × 10^-11 m for hydrogen) and Z is the atomic number. In this case, n = 9 and Z = 1 (for hydrogen), so the radius would be: r = 9²(5.29 × 10^-11 m)/1 = 4.28 × 10^-10 m, which corresponds to answer choice D.

Question 20

How many electron states (including spin states) are possible in a hydrogen atom if its energy is -3.4 eV?

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Quiz 30: The Nature of the Atom

What is the total number of subshells in the n = 3 level?

Two possible states for the hydrogen atom are labeled A and B.The maximum magnetic quantum number for state A is +3.For state B, the maximum value is +1.What is the ratio of the magnitudes of the orbital angular momenta, L_A/L_B, of an electron in these two states?

What is the shortest possible wavelength in the Lyman series for atomic hydrogen?

Which one of the following electronic configurations corresponds to an atomic ground state?

Determine the kinetic energy of an electron that has a de Broglie wavelength equal to twice the diameter of the hydrogen atom.Assume that the hydrogen atom is a sphere of radius 5.3 × 10^-¹¹ m.

The electron in a hydrogen atom is in the n = 3 state.What is(are) the possible value(s) for an emitted photon?

Which one of the following factors best explains why the six electrons of a carbon atom are not all in the 1s state?

Which quantum number applies to most of the electrons in a collection of hydrogen atoms at room temperature?

An electron in a hydrogen atom is described by the quantum numbers: n = 7 and m_l = 4.What are the possible values for the orbital quantum number ?

What energy (in eV) is required to remove the remaining electron from a singly ionized helium atom, He⁺ (Z = 2) ?

How many electrons could be accommodated in an f subshell?

Complete the following statement: An h subshell refers to orbital quantum number

Which one of the following subshells is not compatible with a principle quantum number of n = 4?

Determine the maximum number of electron states with principal quantum number n = 3?

According to the quantum mechanical picture of the atom, which one of the following statements is true concerning the magnitude of the angular momentum L of an electron in the n = 3 level of the hydrogen atom?

To which model of atomic structure does the Pauli exclusion principle apply?

According to the quantum mechanical picture of the atom, which one of the following is a true statement concerning the ground state electron in a hydrogen atom?

The principle quantum number for the electron in a hydrogen atom is n = 5.According to the quantum mechanical picture of the atom, what is the maximum possible value for the magnitude of the z-component of the angular momentum of the electron?

According to the Bohr model, what is the radius of a hydrogen atom when its electron is excited to the n = 9 state?

How many electron states (including spin states) are possible in a hydrogen atom if its energy is -3.4 eV?

Quiz 30: The Nature of the Atom

What is the total number of subshells in the n = 3 level?

Two possible states for the hydrogen atom are labeled A and B.The maximum magnetic quantum number for state A is +3.For state B, the maximum value is +1.What is the ratio of the magnitudes of the orbital angular momenta, LA/LB, of an electron in these two states?

What is the shortest possible wavelength in the Lyman series for atomic hydrogen?

Which one of the following electronic configurations corresponds to an atomic ground state?

Determine the kinetic energy of an electron that has a de Broglie wavelength equal to twice the diameter of the hydrogen atom.Assume that the hydrogen atom is a sphere of radius 5.3 × 10-11 m.

The electron in a hydrogen atom is in the n = 3 state.What is(are) the possible value(s) for an emitted photon?

Which one of the following factors best explains why the six electrons of a carbon atom are not all in the 1s state?

Which quantum number applies to most of the electrons in a collection of hydrogen atoms at room temperature?

An electron in a hydrogen atom is described by the quantum numbers: n = 7 and ml = 4.What are the possible values for the orbital quantum number ?

What energy (in eV) is required to remove the remaining electron from a singly ionized helium atom, He+ (Z = 2) ?

How many electrons could be accommodated in an f subshell?

Complete the following statement: An h subshell refers to orbital quantum number

Which one of the following subshells is not compatible with a principle quantum number of n = 4?

Determine the maximum number of electron states with principal quantum number n = 3?

According to the quantum mechanical picture of the atom, which one of the following statements is true concerning the magnitude of the angular momentum L of an electron in the n = 3 level of the hydrogen atom?

To which model of atomic structure does the Pauli exclusion principle apply?

According to the quantum mechanical picture of the atom, which one of the following is a true statement concerning the ground state electron in a hydrogen atom?

The principle quantum number for the electron in a hydrogen atom is n = 5.According to the quantum mechanical picture of the atom, what is the maximum possible value for the magnitude of the z-component of the angular momentum of the electron?

According to the Bohr model, what is the radius of a hydrogen atom when its electron is excited to the n = 9 state?

How many electron states (including spin states) are possible in a hydrogen atom if its energy is -3.4 eV?

Two possible states for the hydrogen atom are labeled A and B.The maximum magnetic quantum number for state A is +3.For state B, the maximum value is +1.What is the ratio of the magnitudes of the orbital angular momenta, L_A/L_B, of an electron in these two states?

Determine the kinetic energy of an electron that has a de Broglie wavelength equal to twice the diameter of the hydrogen atom.Assume that the hydrogen atom is a sphere of radius 5.3 × 10^-¹¹ m.

An electron in a hydrogen atom is described by the quantum numbers: n = 7 and m_l = 4.What are the possible values for the orbital quantum number ?

What energy (in eV) is required to remove the remaining electron from a singly ionized helium atom, He⁺ (Z = 2) ?