Chapter 11, Problem 64A

(a)

Interpretation Introduction

Interpretation:

From the atomic number of rubidium electronic configuration is to be determined. And then from electronic configuration valence electrons is to be determined.

Concept Introduction:

Electrons present in the outermost shell that can participate in the formation of a chemical bond or a molecule are called valence electrons.

The number of electrons in the atom is equal to the atomic number of the element. So, we can easily determine the electronic configuration by the atomic number.

Answer to Problem 64A

Electronic configuration of rubidium $\left(Z=37\right)$ is $1s^{2}2s^{2}2p^{6}3s^{2}3p^{6}3d^{10}4s^{2}4p^{6}5s^1$ or $[Kr]5s^1$

So, Rb has one valence electron.

Explanation of Solution

The electrons are filled from lower to higher energy level following Aufbau principle.

Lower $(n+l)$ values correspond to lower orbital energies. If two orbitals share equal $(n+l)$ values, the orbital with the lower n value is said to have lower energy associated with it.

Where,

• $n=\text{ principle quantum number}$
• $l=\text{ azimuthal quantum number}$

The order in which the orbitals are filled with electrons is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p, and so on.

Maximum number of electrons in an orbital is given by $\left(4n^2+2\right)$ rule.

For example, in case of $p$ orbital $l=1$ so maximum number of electrons occupied are $\left(4\times 1^2+2\right)=6$ .

(b)

Interpretation Introduction

Interpretation:

From the atomic number of arsenic electronic configuration is to be determined. And then from electronic configuration valence electrons is to be determined.

Concept Introduction:

Electrons present in the outermost shell that can participate in the formation of a chemical bond or a molecule are called valence electrons.

The number of electrons in the atom is equal to the atomic number of the element. So, we can easily determine the electronic configuration by the atomic number.

Answer to Problem 64A

Electronic configuration of arsenic $\left(Z=33\right)$ is $1s^{2}2s^{2}2p^{6}3s^{2}3p^{6}3d^{10}4s^{2}4p^3$ or $[Ar]3d^{10}4s^{2}4p^3$ .

Hence, there are five valence electrons in arsenic.

Explanation of Solution

The electrons are filled from lower to higher energy level following Aufbau principle.

Lower $(n+l)$ values correspond to lower orbital energies. If two orbitals share equal $(n+l)$ values, the orbital with the lower n value is said to have lower energy associated with it.

Where,

• $n=\text{ principle quantum number}$
• $l=\text{ azimuthal quantum number}$

The order in which the orbitals are filled with electrons is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p, and so on.

Maximum number of electrons in an orbital is given by $\left(4n^2+2\right)$ rule.

For example, in case of $p$ orbital $l=1$ so maximum number of electrons occupied are $\left(4\times 1^2+2\right)=6$ .

(c)

Interpretation Introduction

Interpretation:

From the atomic number of aluminium electronic configuration is to be determined. And then from electronic configuration valence electrons is to be determined.

Concept Introduction:

Electrons present in the outermost shell that can participate in the formation of a chemical bond or a molecule are called valence electrons.

The number of electrons in the atom is equal to the atomic number of the element. So, we can easily determine the electronic configuration by the atomic number.

Answer to Problem 64A

Electronic configuration of aluminium $\left(Z=13\right)$

  $1s^{2}2s^{2}2p^{6}3s^{2}3p^1$ or $[Ne]3s^{2}3p^1$ .

Hence, there are three valence electrons.

Explanation of Solution

The electrons are filled from lower to higher energy level following Aufbau principle.

Lower $(n+l)$ values correspond to lower orbital energies. If two orbitals share equal $(n+l)$ values, the orbital with the lower n value is said to have lower energy associated with it.

Where,

• $n=\text{ principle quantum number}$
• $l=\text{ azimuthal quantum number}$

The order in which the orbitals are filled with electrons is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p, and so on.

Maximum number of electrons in an orbital is given by $\left(4n^2+2\right)$ rule.

For example, in case of $p$ orbital $l=1$ so maximum number of electrons occupied are $\left(4\times 1^2+2\right)=6$ .

(d)

Interpretation Introduction

Interpretation:

From the atomic number of nickel electronic configuration is to be determined. And then from electronic configuration valence electrons is to be determined.

Concept Introduction:

Electrons present in the outermost shell that can participate in the formation of a chemical bond or a molecule are called valence electrons.

The number of electrons in the atom is equal to the atomic number of the element. So, we can easily determine the electronic configuration by the atomic number.

Answer to Problem 64A

Electronic configuration of nickel $\left(Z=28\right)$ is $1s^{2}2s^{2}2p^{6}3s^{2}3p^{6}3d^{8}4s^2$ or $[Ar]3d^{8}4s^2$ .

Hence, there are two valence electrons.

Explanation of Solution

The electrons are filled from lower to higher energy level following Aufbau principle.

Lower $(n+l)$ values correspond to lower orbital energies. If two orbitals share equal $(n+l)$ values, the orbital with the lower n value is said to have lower energy associated with it.

Where,

• $n=\text{ principle quantum number}$
• $l=\text{ azimuthal quantum number}$

The order in which the orbitals are filled with electrons is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p, and so on.

Maximum number of electrons in an orbital is given by $\left(4n^2+2\right)$ rule.

For example, in case of $p$ orbital $l=1$ so maximum number of electrons occupied are $\left(4\times 1^2+2\right)=6$ .