Step 1: Understanding the Concept:
Associating fundamental thermodynamic, physical, and transport phenomena equations and properties with their respective engineering domains.
Step 2: Detailed Explanation:
Evaluating the matches between List I and List II:
- A. COP (Coefficient of Performance): Standard dimensionless efficiency index of refrigeration and heat pump cycles (II).
- B. Size reduction: Characterized using standard Tyler sieve analysis to measure fineness modulus (III).
- C. Kelvin equation: Relates capillary condensation and pore radius to equilibrium moisture content and relative humidity/water activity (IV).
- D. Molecular vibration: The fundamental microscopic mechanism of thermal conduction heat transfer in solids and stationary fluids (I).
Thus, the correct matching is A-II, B-III, C-IV, D-I.
Step 3: Final Answer:
Therefore, the correct matching is A-II, B-III, C-IV, D-I, matching option (C).