Lab Manual Experiments in General Chemistry
Lab Manual Experiments in General Chemistry
11th Edition
ISBN: 9781305944985
Author: Darrell Ebbing, Steven D. Gammon
Publisher: Cengage Learning
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Chapter 7, Problem 7.70QP

State which of the following sets of quantum numbers would be possible and which impossible for an electron in an atom.

  1. a n = 2, I = 0, mi = 0, m s = + 1 2
  2. b n = 1, I = 1, mi = 0, m s = + 1 2
  3. c n = 0, I = 0, mi = 0, m s = 1 2
  4. d n = 2, I = 1, mi = −1, m s = + 1 2
  5. e n = 2, I = 1, mi = −2, m s = + 1 3

(a)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The permissible and not permissible quantum number from the given set of quantum numbers has to be identified.

Concept introduction:

Principal Quantum Number(n): In an atom, theelectron energy mainly depends on principal quantum number.  The energy of an electron becomes lower when the value of n is smaller.  The orbital size also depends on n.  The size of orbital increases with increase in value of principal quantum number (n)

Angular Momentum Quantum Number(l): It helps to differentiate different shapes of orbitals for given n.  For a given n, there are n different shapes of orbitals are present and are denoted as l.  Angular momentum quantum number is also known as Azimuthal quantum number. The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

Magnetic Quantum Number( ml ): It helps to distinguish orbitals having various orientation in space.  Any integer between -l and +l is the probable values of magnetic quantum number.  For s subshell the l=0 , then ml is zero.  For p subshell the l=1 , then ml=1,0,+1 .

Spin Quantum Number( ms ): It refers to direction of spin of an electron in an orbital.  The possible values are +12or-12 .

Answer to Problem 7.70QP

(a)

Permissible

Explanation of Solution

To identify: The given set of quantum numbers are permissible or not.

The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

The possible values of  Spin Quantum Numbers are +12or-12 .

Any integer between -l and +l is the probable values of magnetic quantum number.

The given set of quantum numbers follows the above possible values.  Thus, the given set is permissible.

(b)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The permissible and not permissible quantum number from the given set of quantum numbers has to be identified.

Concept introduction:

Principal Quantum Number(n): In an atom, the electron energy mainly depends on principal quantum number.  The energy of an electron becomes lower when the value of n is smaller.  The orbital size also depends on n.  The size of orbital increases with increase in value of principal quantum number (n)

Angular Momentum Quantum Number(l): It helps to differentiate different shapes of orbitals for given n.  For a given n, there are n different shapes of orbitals are present and are denoted as l.  Angular momentum quantum number is also known as Azimuthal quantum number. The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

Magnetic Quantum Number( ml ): It helps to distinguish orbitals having various orientation in space.  Any integer between -l and +l is the probable values of magnetic quantum number.  For s subshell the l=0 , then ml is zero.  For p subshell the l=1 , then ml=1,0,+1 .

Spin Quantum Number( ms ): It refers to direction of spin of an electron in an orbital.  The possible values are +12or-12 .

Answer to Problem 7.70QP

(b)

Not permissible.

Explanation of Solution

To identify: The given set of quantum numbers are permissible or not.

The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

But in the given set the l=1 .  Thus, the given set is not permissible.

(c)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The permissible and not permissible quantum number from the given set of quantum numbers has to be identified.

Concept introduction:

Principal Quantum Number(n): In an atom, theelectron energy mainly depends on principal quantum number.  The energy of an electron becomes lower when the value of n is smaller.  The orbital size also depends on n.  The size of orbital increases with increase in value of principal quantum number (n)

Angular Momentum Quantum Number(l): It helps to differentiate different shapes of orbitals for given n.  For a given n, there are n different shapes of orbitals are present and are denoted as l.  Angular momentum quantum number is also known as Azimuthal quantum number. The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

Magnetic Quantum Number( ml ): It helps to distinguish orbitals having various orientation in space.  Any integer between -l and +l is the probable values of magnetic quantum number.  For s subshell the l=0 , then ml is zero.  For p subshell the l=1 , then ml=1,0,+1 .

Spin Quantum Number( ms ): It refers to direction of spin of an electron in an orbital.  The possible values are +12or-12 .

Answer to Problem 7.70QP

(c)

Not permissible

Explanation of Solution

To identify: The given set of quantum numbers are permissible or not.

The principal quantum number n cannot be zero.  But in the given set the ml=+3 .  Thus, the given set is not permissible.

(d)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The permissible and not permissible quantum number from the given set of quantum numbers has to be identified.

Concept introduction:

Principal Quantum Number(n): In an atom, theelectron energy mainly depends on principal quantum number.  The energy of an electron becomes lower when the value of n is smaller.  The orbital size also depends on n.  The size of orbital increases with increase in value of principal quantum number (n)

Angular Momentum Quantum Number(l): It helps to differentiate different shapes of orbitals for given n.  For a given n, there are n different shapes of orbitals are present and are denoted as l.  Angular momentum quantum number is also known as Azimuthal quantum number. The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

Magnetic Quantum Number( ml ): It helps to distinguish orbitals having various orientation in space.  Any integer between -l and +l is the probable values of magnetic quantum number.  For s subshell the l=0 , then ml is zero.  For p subshell the l=1 , then ml=1,0,+1 .

Spin Quantum Number( ms ): It refers to direction of spin of an electron in an orbital.  The possible values are +12or-12 .

Answer to Problem 7.70QP

(d)

Permissible

Explanation of Solution

To identify: The given set of quantum numbers are permissible or not.

The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

The possible values of Spin Quantum Numbers are +12or-12 .

Any integer between -l and +l is the probable values of magnetic quantum number.

The given set of quantum numbers follows the above possible values.  Thus, the given set is permissible.

(e)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The permissible and not permissible quantum number from the given set of quantum numbers has to be identified.

Concept introduction:

Principal Quantum Number(n): In an atom, theelectron energy mainly depends on principal quantum number.  The energy of an electron becomes lower when the value of n is smaller.  The orbital size also depends on n.  The size of orbital increases with increase in value of principal quantum number (n)

Angular Momentum Quantum Number(l): It helps to differentiate different shapes of orbitals for given n.  For a given n, there are n different shapes of orbitals are present and are denoted as l.  Angular momentum quantum number is also known as Azimuthal quantum number. The possible values ofangular momentum quantum number between 0and(n-1) .  If the n is 3 , then l value is 0,1,2

Magnetic Quantum Number( ml ): It helps to distinguish orbitals having various orientation in space.  Any integer between -l and +l is the probable values of magnetic quantum number.  For s subshell the l=0 , then ml is zero.  For p subshell the l=1 , then ml=1,0,+1 .

Spin Quantum Number( ms ): It refers to direction of spin of an electron in an orbital.  The possible values are +12or-12 .

Answer to Problem 7.70QP

(e)

Not permissible

Explanation of Solution

To identify: The given set of quantum numbers are permissible or not.

Any integer between -l and +l is the probable values of magnetic quantum number.

For l=1 , the mlcanbe-1,0,+1 .  But in the given set the ml=2 .  Thus, the given set is not permissible.

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Chapter 7 Solutions

Lab Manual Experiments in General Chemistry

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