Why does the loss of a proton from cyanic acid yield the same anion as that obtained by the loss of a proton from isocyanic acid?

Cyanic acid is HOCN. The compound has the structure H-O-C�ßN. It is isomeric with another acid, H-N=C=O, which is known as isocyanic acid.

When you deprotonate cyanic acid the anion is:
(-)O-C�ßN <-> O=C=N(-)

I can't show the arrows on here to move the electron along the structure but I am sure you can do that.

What is the only difference between cyanic and isocyanic acids?

The order of the elements; the position of the nuclei?

The loss of a proton from cyanic acid (HOCN) and isocyanic acid (HNCO) results in the same anion, known as cyanate (OCN-).

To understand why this happens, let's look at the chemical structures of both cyanic acid and isocyanic acid:

Cyanic acid (HOCN): H-O-C≡N
Isocyanic acid (HNCO): H-N=C=O

In both compounds, there is a single hydrogen atom that can be donated as a proton (H+). When this proton is lost, it leaves behind a negative charge, resulting in an anion.

The key factor is the rearrangement of electrons that occurs during the loss of the proton. In cyanic acid, the electrons that were shared between the hydroxyl group (-OH) and the carbon-nitrogen triple bond (C≡N) can rearrange to form a double bond between carbon and oxygen (C=O). This rearrangement results in the formation of the cyanate anion (OCN-).

Similarly, in isocyanic acid, the electrons in the carbon-nitrogen double bond (C=N) can rearrange to form a double bond between nitrogen and oxygen (N=O). This rearrangement also leads to the formation of the cyanate anion (OCN-).

The fact that both cyanic acid and isocyanic acid produce the same anion upon loss of a proton is due to the electron rearrangement that takes place, resulting in the formation of a stable cyanate anion with the same composition (OCN-).