Chapter 4, Problem 4.135QP

Interpretation Introduction

Interpretation: The element with given first four ionization energies should be identified that to which group it belongs to.

Concept Introduction:

Periodic Table: The available chemical elements are arranged considering their atomic number, the electronic configuration and their properties. The elements placed on the left of the table are metals and non-metals are placed on right side of the table.

In periodic table the horizontal rows are called periods and the vertical column are called group. There are seven periods and 18 groups present in the table and some of those groups are given specific name as follows,

$\begin{array}{l}\text{Group-1}\to \text{Alkali metal}\\ \text{Group-2}\to \text{Alkaline metals}\\ \text{Group-16}\to \text{Chalcogens}\\ \text{Group-17}\to \text{Halogens}\\ \text{Group-18}\to \text{Noble gases}\end{array}$

Atomic Number: Atomic number of the element is equal to the number of protons present in the nucleus of the element which is denoted by symbol Z. The superscript presents on the left side of the symbol of the element.

First ionization energy:

The ionization energy is the minimum energy required to remove the electron from an isolated atom which is in the gaseous state results to give gaseous ion with one positive charge.

${\text{atom}}_{\left(\text{g}\right)}\to {\text{ion with positive charge}}_{\left(\text{g}\right)}\text{ + electron}$

Second ionization:

Repeating the same process that is removal of another electron that is second electron from the resulting ion of first ionization is called second ionization.

Third ionization energy:

Removal of electron from ion that results from the second ionization is called third ionization which results to give ion with three positive charges which shows, three electrons gets removed from the atom and the energy associated with it is called third ionization energy.

Cation: Removal of electron from the atom results to form positively charged ion called cation.

Anion: Addition of electron to atom results to form negatively charged ion called anion.

The net charge present in the element denotes the presence or absence of electrons in the element.

In periodic table the horizontal rows are called periods and the vertical column are called group.

Plank-Einstein Equation: The energy is conversed property since it can neither be created nor be destroyed but can be transformed. The energy of the photon is obtained by using the following relation

$\begin{array}{l}\text{E}\text{=}\text{hν}\\ \text{h}\to \text{Planck's constant = 6}\text{.63}\times {\text{10}}^{\text{-34}}\text{J}\text{.s}\\ \text{ν}\to \text{frequency}\text{of}\text{the}\text{photon}\end{array}$

Wavelength: The distance between the two continuous maximum displacements present in wave or the two continuous minimum displacements present in a wave exhibited by the photons is called wavelength. The wavelength of the photon is inversely proportional to its frequency. The relationship between them is given by the following formula,

$\text{(wavelength)λ}\text{=}\frac{\text{(velocity of light)c}}{\text{(frequency)ν}}$

Frequency: It denotes the number of waves passes in given amount of time.