The study of all chemicals containing carbon is called inorganic chemistry organic chemistry physical chemistry biochemistry

The study of all chemicals containing carbon is called organic chemistry

Explanation:

The field of chemistry can be classified into four branches:

1) Organic Chemistry which involves the study of specifically carbon containing molecules like hydrocarbons which are mainly systems with carbon and hydrogen. In addition, there are other molecules where the C atom is linked to hetero atoms like O, N, S etc

2) Inorganic chemistry deals with the study of inorganic compounds i.e. molecules that essentially lack C-H bonds

3) Physical chemistry deals with the behaviour of molecules in chemical systems i.e. the study of chemical reactions

4) Biochemistry deals with the study of chemical processes in living systems