Step 1: Understanding the Concept:
This question requires matching each of the four fundamental laws of thermodynamics with the primary physical concept it defines or is most closely associated with.
Step 2: Detailed Explanation:
A. First Law of Thermodynamics: This law is a statement of the conservation of energy, applied to thermodynamic systems. It introduces internal energy (U) as a state function, with the relation \(\Delta U = Q - W\). Therefore, A matches II.
B. Second Law of Thermodynamics: This law describes the direction of spontaneous processes and the concept of irreversibility. It introduces the state function of entropy (S) to quantify this. Therefore, B matches III.
C. Third Law of Thermodynamics: This law establishes an absolute scale for entropy by stating that the entropy of a perfect crystal approaches zero as the temperature approaches absolute zero. This is also known as the Nernst Theorem. Therefore, C matches IV.
D. Zeroth Law of Thermodynamics: This law states that if two systems are each in thermal equilibrium with a third system, then they are in thermal equilibrium with each other. This law provides the formal definition of temperature as a fundamental property. Therefore, D matches I.
Step 3: Final Answer:
The correct matching is: A-II, B-III, C-IV, D-I.