The branch of chemistry that deals specifically with carbon and its compounds is called organic chemistry.

Here's why:

* Carbon's Unique Bonding Properties: Carbon has the remarkable ability to form four covalent bonds with other atoms, including itself. This allows for a vast array of complex and diverse molecules.

* The Basis of Life: Organic compounds form the building blocks of all living organisms, including proteins, carbohydrates, lipids, and nucleic acids.

* Vast Range of Applications: Organic chemistry is crucial in understanding and developing new materials, pharmaceuticals, fuels, and countless other products.

While other branches of chemistry may involve carbon, organic chemistry is dedicated to its study in detail.