Analyzing the Setup
When we encounter a question asking about the properties of a specific molecule like Nitric Oxide (NO), our first instinct should be to look at its electronic structure. The Molecular Orbital Theory (MOT) is the perfect tool for this.
Let's start by counting the total number of electrons in the NO molecule. Nitrogen contributes 7 electrons, and Oxygen contributes 8 electrons. This gives us a total of 15 electrons. The fact that this is an odd number is a massive hint about the molecule's magnetic properties!
The Master Equation
Molecular Orbital Configuration
Out of these 15 electrons, the first 4 will completely fill the inner shell orbitals, specifically the σ1s and σ∗1s orbitals. This leaves us with 11 valence electrons to distribute among the higher energy molecular orbitals.
Following the Aufbau principle and Hund's rule, we start filling the valence molecular orbitals from lowest to highest energy:
1. The σ2s and σ2s∗ orbitals take 2 electrons each (4 electrons total).
2. Next, the σ2pz orbital takes 2 electrons.
3. The degenerate π2px and π2py orbitals take 2 electrons each (4 electrons total).
At this point, we have successfully placed 10 valence electrons. But we have one electron left! This final, lonely electron must go into the next available orbital, which is the anti-bonding π2px∗ orbital.
The Consequence of the Unpaired Electron
This single unpaired electron in the π2px∗ orbital is the key to the whole problem.
Any molecule that contains one or more unpaired electrons is attracted by a magnetic field, a property known as paramagnetism. Therefore, in its gaseous state, NO is paramagnetic.
However, if we look at option (a), it claims that NO is diamagnetic in the gaseous state. This is a direct contradiction to our findings! Thus, option (a) is the incorrect statement we were looking for.
Verifying the Other Properties
Just to be absolutely certain, let's quickly verify the other options.
To find the bond order, we use the formula:
Bond Order=2Nb−Na
Where
Nb is the number of bonding electrons and
Na is the number of anti-bonding electrons. Counting them up from our configuration, we have
10 bonding electrons and
5 anti-bonding electrons.
Bond Order=210−5=2.5
This confirms that option (d) is a correct statement.
Furthermore, chemically, NO is well-known as a neutral oxide (along with N2O and CO), meaning it does not form an acid or base when reacted with water. It is also highly reactive due to its free-radical nature and readily combines with atmospheric oxygen to form the brown gas, nitrogen dioxide (NO2).
This confirms options (b) and (c) are also correct statements. Therefore, the only incorrect property listed is option (a).