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Concepts and reason

The concept used to solve this problem is calculating bond order in a molecule,which is one-half the difference between the number of electron in bonding molecular orbitals and the number in anti-bonding molecular orbitals.

Fundamentals

The bond order in a molecule is one-half the difference between the number of electron in bonding molecular orbitals and the number in anti-bonding molecular orbitals.

(Number of e in bonding MOs)-(Number of e in antibonding MOs)
Bond order

Importance of bond order:

1.Stability of molecules or ions:

If the bond order is positive the molecule or ions will be stable, but if the value of bond order is zero or negative the molecule or ion will be un-stable.

2.Bond dissociation energy:

Bond dissociation energy is directly proportional to the bond order. Hence the more value of bond order; greater will be the bond dissociation energy .

3.Bond length:

Bond order is inversely proportional to bond length. This means that greater the bond order, smaller will be the bond length.

4.Number of bonds:

The value of bond order predicts the number of covalent bonds in the molecules. For example if the value of bond order is 2, thus there are two covalent bonds.

When all electrons are paired then the species is diamagnetic while Para-magnetism requires unpaired electrons.

Ans: Part a

Thus, the bond order in N2
is 2.5

Part b

Thus, the ion is paramagnetic
.

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