Step 1: Understanding the Concept:
This question tests the definitions of the four basic types of thermodynamic processes.
Step 2: Detailed Explanation:
A. Isothermal process: The prefix "iso-" means "constant" or "equal", and "thermal" refers to temperature. An isothermal process is one that occurs at constant temperature. Therefore, A matches III.
B. Adiabatic Process: An adiabatic process is one in which there is no heat transfer (\(Q=0\)) into or out of the system. Therefore, B matches IV.
C. Isobaric Process: The prefix "iso-" means "constant", and "baric" refers to pressure (from "bar"). An isobaric process is one that occurs at constant pressure. Therefore, C matches II.
D. Isochoric process: The prefix "iso-" means "constant", and "choric" refers to volume. An isochoric process is one that occurs at constant volume. It is also known as an isometric process. Therefore, D matches I.
Step 3: Final Answer:
The correct matching is: A-III, B-IV, C-II, D-I.