Thursday, September 15, 2016

Chapter 4.2 - More periodic trends and Solved examples

In the previous section, we saw the periodic trend in the size of atoms. In this section we will see more properties.

Ionisation energy

We have seen reactions in which ions are formed. Consider for example, the formation of NaCl. We have seen the details here. The sodium (Na) atom loses one electron, and becomes Na+ ion. The chlorine (Cl) atom gains one electron, and become Cl- ion.
• Consider the formation of Na+ ion. One electron has to be removed from the Na atom, for the formation of Na+. Is such a removal easy?
• The negatively charged electrons are attracted towards the central nucleus. This is because of the positively charged protons present in the nucleus.
• So the electron must over come this attractive force, in order to move away from the atom.
• To over come this attractive force, some energy is required.
• This energy is called ionisation energy
• But, for the same element, this energy may be different under different conditions. For example, the presence of some other element can cause an increase or decrease in the required energy. Also, more energy is required for an electron in an inner shell, than that in an outer shell. So the conditions are to be specified. Thus the definition of ionisation energy is as follows:

The amount of energy required to liberate the most loosely bound electron from the outer most shell of an isolated gaseous atom of an element is called it's ionisation energy.
[Note that several conditions are specified:
• The electron must be the one which is most loosely bound
• It must be situated in the outer most shell
• The atom must be isolated. That is., there must not be any presence of any other atoms
• The atom must be in the gaseous state]

So let us analyse the variation of ionisation energy at different parts of the periodic table:
I Moving from top to bottom in a group:
1. When we move from top to bottom in a group, the size of the atom increases. We have already seen the reason here.
2. When the size increases, the distance from the nucleus to the outer most electron also increases
3. When the distance increases, the force exerted by the nucleus (on the outer most electron) decreases
4. When this force is low, low energy is sufficient to liberate the electron.
5. So we can write: The ionisation energy decreases as we move from top to bottom in a group
II Moving from left to right in a period
1. When we move from left to right in a period, the size of the atom decreases. We have already seen the reason.
2. We have seen that the decrease in size is due to the increase in attractive force from the central nucleus
3. From (2) we can readily reach a conclusion: As the attractive force increases, more energy is required to liberate the electron.
4. So we can write: The ionisation energy increases as we move from left to right in a period

Electronegativity

We have already learned about electronegativity. It is the ability of an atom to attract the shared pairs of electrons in covalent bonds. We have seen the details here. Now we want to understand it's periodic trend.
• Electronegativity is closely related to the size of atom. Let us write an analysis:
I Moving from top to bottom in a group:
1. When we move from top to bottom in a group, the size of the atom increases. We have already seen the reason here.
2. When the size increases, the distance from the nucleus to the outer most electron also increases
3. When the distance increases, the force exerted by the nucleus (on the outer most electron) decreases
4. From (3), we see that, when size increases, distance also increases, and the atom becomes lesser and lesser capable to attract 'it's own outer most electrons'.
5. Then there is nothing more to tell about the 'external shared electrons'. We can straight away say: The atom is even less capable to attract the shared pairs of electrons.
6. So we can write: The electronegativity decreases as we move from top to bottom in a group
II Moving from left to right in a period
1. When we move from left to right in a period, the size of the atom decreases. We have already seen the reason.
2. We have seen that the decrease in size is due to the increase in attractive force from the central nucleus
3. So there is an increase in attraction on the 'outer most electrons'. This increase will be felt by the 'shared pairs of electrons' also. We can straight away say: The atom is capable to exert significant force of attraction on the shared pairs of electrons
4. So we can write: The electronegativity increases as we move from left to right in a period

Metallic and Non-metallic Nature

• Elements with a metallic nature, generally loses electrons in chemical reactions.
• Metals are called electropositive because, in chemical reactions, they lose electrons to become positive ions. (Metals are good conductors of electric current because, they readily lose electrons, and hence have lots of free electrons)
• Non-metals are called electronegative because, in chemical reactions, they gain electrons to become negative ions.
• The metallic or non-metallic nature of an element is closely related to it's ionisation energy. Why?
The reason is simple:
    ♦ If the ionisation energy is low, electrons will be easily liberated. If the electrons are easily liberated, it shows a metallic nature.
   ♦ If the ionisation energy is high, electrons will not be easily liberated. If the electrons are not easily liberated, it shows a non-metallic nature.
• So, from the periodic trend of ionisation energy, we will be able to write the periodic trend for metallic and non-metallic nature also. Thus we get:
I Moving from top to bottom in a group:
1. When we move from top to bottom in a group, ionisation energy decreases
2. Decrease in ionisation energy indicates increase in metallic nature. So we can write:
3. The metallic nature increases (consequently, non-metallic nature decreases) as we move from top to bottom in a group
II Moving from left to right in a period
1. When we move from left to right in a period, ionisation energy increases
2. Increasein ionisation energy indicates increase in non-metallic nature. So we can write:
3. The non-metallic nature increases (consequently, metallic nature decreases) as we move from left to right in a period

Based on the results in I and II above, we can answer an interesting question:
■ Which is the element with the most metallic character in the periodic table?
Solution: 1. From II above we have: In any period, the left most element is the most metallic in nature
2. So the element that we are seeking, is some where in the first group
3. From I above we have: In any group, the bottom most element is the most metallic in nature
4. So the bottom most element in the first group (francium) is the one which is most metallic in character
• However, francium is a man made element. Among the natural elements, caesium is the one which is the most metallic in character. Look at the position of caesium. It is just above francium.

■ In the above discussion, we derived the periodic trend of metallic and non-metallic character based on the 'trend of ionisation energy'
■ We can derive the periodic trend of metallic and non-metallic character based on the 'trend of electronegativity' also. The reader is advised to write such an analysis by him/herself.

Now we will see some solved examples
Solved example 4.1
Complete the table given below:

Solution:
1. Consider lithium. It’s electron configuration is given as 2,1. So the atomic number Z = 2 + 1 = 3
2. Consider oxygen. Z is given as 8. So the electron configuration is 2,6
• From the electron configuration, we get: No. of electrons in the outer most shell = 6. So oxygen belongs to Group VI
• There are 2 digits in the electron configuration. So No. of shells = 2. Thus, oxygen belongs to the Period 2
3. Consider argon. Z is given as 18. So the electron configuration is 2,8,8
• From the electron configuration, we get: No. of electrons in the outer most shell = 8. So argon belongs to Group VIII
• There are 3 digits in the electron configuration. So No. of shells = 3. Thus, argon belongs to the Period 3
4. Consider calcium. It’s electron configuration is given as 2,8,8,2. So Z = 2 + 8 + 8 + 2 = 20
• From the electron configuration, we get: No. of electrons in the outer most shell = 2. So calcium belongs to Group II
• There are 4 digits in the electron configuration. So No. of shells = 4. Thus, oxygen belongs to the Period 4
The completed table is given below:


Solved example 4.2
There are 3 shells in the atom of element 'X'. 6 electrons are present in it's outermost shell.
(a) Write the electron configuration of the element
(b) What is it's atomic number Z?
(c) In which period does this element belong?
(d) In which group does this element belong?
(e) Write the name and symbol of this element
(f) To which family of elements does this element belong?
Solution:
(a) Given that the element has 3 shells. So the element has K, L, and M shells
• Given that the M shell has 6 electrons. So the L and M would be filled up to their full capacities.
• That means there are 2 electrons in K, and 8 electrons in L
• So the total number of electrons = 2 + 8 + 6 = 16
The electron configuration is 2,8,6
(b) Total number of electrons = 16 = Total number of protons
So atomic number Z = 16
(c) There are 3 shells for the atom. So element belongs to the Period 3
(d) There are 6 electrons in the outermost shell. So the element belongs to Group VI
(e) The name of the element with Z = 16 is Sulfur. It's symbol is S
(f) The family is Oxygen family

In the next section, we will see a few more solved examples. 

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