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Question: The strongest \[{\text{ - CO}}\] bond is present in : A) \[{{\text{[Cr(CO}}{{\text{)}}_{\text{6}}...

The strongest  - CO{\text{ - CO}} bond is present in :
A) [Cr(CO)6] + {{\text{[Cr(CO}}{{\text{)}}_{\text{6}}}{\text{]}}^{\text{ + }}}
B) [Fe(CO)5][{\text{Fe(CO}}{{\text{)}}_{\text{5}}}{\text{]}}
C) [V(CO)6]{{\text{[V(CO}}{{\text{)}}_{\text{6}}}{\text{]}}^ - }
D) All have equal strength

Explanation

Solution

Carbonyl is π\pi acceptor ligand. It has a tendency to accept the electrons from the metal. The π\pi back bonding tendency of metal depends on the electron cloud around the metal. Complex having lower metal to ligand π\pi back bonding has the strongest  - CO{\text{ - CO}}bond.

Complete solution:
Carbonyl has a tendency to accept electrons from metal so it is known as π\pi acceptor ligand. So in complexes having carbonyl ligands we observe ML{\text{M}} \to {\text{L}} charge transfer.
This electron transfer tendency of metal depends on the electron cloud around the metal. The greater the electron cloud around the metal the greater is ML{\text{M}} \to {\text{L}} charge transfer.
Metals having a higher oxidation state have lower electrons around it so it has a lower tendency of ML{\text{M}} \to {\text{L}} charge transfer. The strength of  - CO{\text{ - CO}}the bond increases with a decrease in π\pi back bonding.
To determine which complex has the strongest  - CO{\text{ - CO}}bond we will determine the oxidation state of metal in each complex.
In all complexes, the only carbonyl is the ligand. We know that carbonyl is a neutral ligand so the oxidation state of the metal is nothing but the charge on the complex.
[Cr(CO)6] + {{\text{[Cr(CO}}{{\text{)}}_{\text{6}}}{\text{]}}^{\text{ + }}}
Here, the charge on the complex is +1 so the oxidation state of Cr{\text{Cr}} is +1.
[Fe(CO)5][{\text{Fe(CO}}{{\text{)}}_{\text{5}}}{\text{]}}
Here, the charge on the complex is 0 so the oxidation state of Fe{\text{Fe}} is 0.
[V(CO)6]{{\text{[V(CO}}{{\text{)}}_{\text{6}}}{\text{]}}^ - }
Here, the charge on the complex is -1 so the oxidation state of V{\text{V}} is -1.
As Cr{\text{Cr}} has a positive oxidation state we can say that it has lower electron density so it has a lower Cr CO{\text{Cr}} \to {\text{ CO}} charge transfer tendency than Fe CO{\text{Fe}} \to {\text{ CO}} and V CO{\text{V}} \to {\text{ CO}}.
The increased order of electron transfer tendency of given metal is as follows:
Cr CO<Fe CO<V CO{\text{Cr}} \to {\text{ CO}} < {\text{Fe}} \to {\text{ CO}} < {\text{V}} \to {\text{ CO}}
So, the strongest  - CO{\text{ - CO}}bond is present in[Cr(CO)6] + {{\text{[Cr(CO}}{{\text{)}}_{\text{6}}}{\text{]}}^{\text{ + }}} the complex.

Thus, the correct options are (A).

Note: M - CO{\text{M - CO}} bond strength increases with a decrease in π\pi back bonding tendency. A π\pi back bonding tendency of the metal decreases with an increase in the oxidation state. So carbonyl complexes having greater positive charge show stronger M - CO{\text{M - CO}} bond.