Answer
To order the given species with respect to the carbon-oxygen bond length from longest to shortest, we need to consider the bond order and the electronegativity difference between carbon and oxygen.
As the number of bonds increases between two atoms, bond strength increases, and bond
length decreases. With this in mind, then the order from the longest to the shortest carbon-oxygen bond length is:
1. $CH_{3}OH$
2. $CO_{3}^{2-}$
3. $CO_{2}$
4. $CO$
Regarding the order from the weakest to the strongest carbon-oxygen bond, the order is:
1. $CH_{3}OH$
2. $CO_{3}^{2-}$
3. $CO_{2}$
4. $CO$
Explanation:
1. $CO_{3}^{2-}$ (Carbonate ion):
- In the carbonate ion, the carbon atom is bonded to three oxygen atoms, forming a planar structure.
- The carbon-oxygen bond length in the carbonate ion is the longest among the given species because the bond order is 1.33 (one and a third) due to the delocalization of the electrons in the ion.
2. $CO_{2}$ (Carbon dioxide):
- In carbon dioxide, the carbon atom is double-bonded to two oxygen atoms.
- The carbon-oxygen bond length in carbon dioxide is shorter than in the carbonate ion because the bond order is 2.
3. $CH_{3}OH$ (Methanol):
- In methanol, the carbon atom is singly bonded to one oxygen atom.
- The carbon-oxygen bond length in methanol is shorter than in carbon dioxide because the bond order is 1.
4. $CO$ (Carbon monoxide):
- In carbon monoxide, the carbon atom is triple-bonded to one oxygen atom.
- The carbon-oxygen bond length in carbon monoxide is the shortest among the given species because the bond order is 3.
Work Step by Step
1. $CO_{3}^{2-}$ (Carbonate ion):
- The carbon-oxygen bond in the carbonate ion is the weakest among the given species due to the delocalization of the electrons, which reduces the bond order.
2. $CO_{2}$ (Carbon dioxide):
- The carbon-oxygen bond in carbon dioxide is stronger than in the carbonate ion because the bond order is 2.
3. $CH_{3}OH$ (Methanol):
- The carbon-oxygen bond in methanol is stronger than in carbon dioxide because the bond order is 1, and the electronegativity difference between carbon and oxygen is higher.
4. $CO$ (Carbon monoxide):
- The carbon-oxygen bond in carbon monoxide is the strongest among the given species because the bond order is 3.
