1.

Explain covalent radius and ven der Waal's radius.

Answer»

Solution :Covalent radius : Each atom of the bonded pair contributes to the bond length. (see figure)
Covalent radius of atom : In case of covalent bond the contribution from each atom is called the covalent radius of that atom.
Covalent radius : The covalent radius is measured approximately so the radius of an atom.s core which is in contact with the core of an adjacent atom in a bonded situation.
The covalent radius is HALF of the distance between two similar atoms joined by a covalent bond in the same molecule.
e.g. : The distance between two atom of `Cl_(2)` molecule is 1.98 pm. The covalent radius value of Cl is 1.98 + 2 = 0.99 pm.
Bond length of bond between two different atom:
AB is covalent molecule
`therefore ` Covalent radii of A atom = `r_(A)`
`therefore`Covalent radii of B atom = `r_(B)` .
`therefore ` Bond length of AB is R = `r_(A) + r_(B)`
This given is following figure.

van der Waals radii : The van der Waals radius represents the overall SIZE of the atom which incudes its valence shell in a nonbonded situation. The van der Waals radius is half of the distance between two similar atoms in separate molecules in a solid.
The convent and van der Waals radius in chlorine molecule are in following figure

Where, `r_(c) ` = Covalent radii
= `("Distance between centre of two Cl ")/(2) `
= `(198 pm)/(2) `
= 99 pm
`r_(vdw)`= van der Waals radius
`= ("Dist. betn. the int. nuclear axis of two" Cl_(2))/(2) `
= `(360 pm)/(2)`
= 180 pm
Remember : Covalent radius is the one half of distance between two atoms of same molecule while van der Wall radius is the one haff of distance between two different molecule
Table - l : Some bond length (In pm)

Orderofbondlength: `O - H lt C - H lt N - O lt C - O `
= ` C - N lt C - C `
e.g. (i) N- O `gt N = O` (ii) C - O `gt ` C = O
(iii) C - N `gt` C = N `gt` C = N
(iv) `C - C gt C = C gt C = C `
Table - 2 :Halogen (F, Cl, Br, I join with same atom than the order of Bond length ) Af `lt ` ACl `lt `ABr `lt ` Al .

Note-I : In period moving from left to right covalent radius DECREASES. Except F other Halogen Cl, Br, I has max radius.
Note-2 : In GROUP as we move down the covalent radius increase.
Note: Understand above table, separate and use in deciding order.


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