Step 1: Understanding the Concept:
The four laws of thermodynamics establish the fundamental physical quantities (temperature, internal energy, and entropy) that characterize thermodynamic systems in equilibrium.
Step 2: Detailed Explanation:
Let us correlate each law of thermodynamics with its primary defined attribute:
- (A) Zeroth law of thermodynamics: This law states that if two systems are in thermal equilibrium with a third system, they are in thermal equilibrium with each other. This law provides the basis for the definition and measurement of Temperature.
Thus, (A) matches with (II).
- (B) First law of thermodynamics: This is the law of conservation of energy, which introduces the state function known as Internal Energy (\( dU = dQ - dW \)).
Thus, (B) matches with (I).
- (C) Second law of thermodynamics: This law introduces the concept of Entropy (\( dS = dQ_{\text{rev}}/T \)) and defines the direction of spontaneous processes.
Thus, (C) matches with (IV).
- (D) Third law of thermodynamics: This law states that the entropy of a pure crystalline substance approaches zero as the temperature approaches Absolute zero temperature (\( 0\text{ K} \)).
Thus, (D) matches with (III).
This gives the match: (A)-(II), (B)-(I), (C)-(IV), (D)-(III).
Step 3: Final Answer:
The correct matching sequence corresponds to option 1.