Match the term given in column I with its description in Column II
`{: ( "Column I", " Column II"),( "(a)Path function", " (p)Heat") , ("(b)State function " , "(q)Internal energy"),(" (c)Intensive property" , "(r)Entropy") , ( "(d)Extensive property" , " (s)Specific heat"):}`

Answer

To solve the problem of matching the terms in Column I with their descriptions in Column II, we will analyze each term and its corresponding description step by step.

### Step 1: Analyze "Path function"
- **Definition**: A path function is a property that depends on the specific path taken during a process. In thermodynamics, the two primary path functions are work and heat.
- **Match**: The description that corresponds to a path function is "Heat" (p).

### Step 2: Analyze "State function"
- **Definition**: A state function is a property that depends only on the initial and final states of a system, regardless of the path taken. Examples include internal energy, enthalpy, and entropy.
- **Match**: The appropriate matches for state functions are "Internal energy" (q) and "Entropy" (r).

### Step 3: Analyze "Intensive property"
- **Definition**: Intensive properties are those that do not depend on the amount of substance present. They are inherent to the material itself. Examples include temperature and specific heat.
- **Match**: The correct match for an intensive property is "Specific heat" (s).

### Step 4: Analyze "Extensive property"
- **Definition**: Extensive properties are those that do depend on the amount of substance present. Examples include mass, volume, and total internal energy.
- **Match**: The extensive property corresponds to "Internal energy" (q) and "Entropy" (r) as they depend on the amount.

### Final Matches:
- (a) Path function → (p) Heat
- (b) State function → (q) Internal energy and (r) Entropy
- (c) Intensive property → (s) Specific heat
- (d) Extensive property → (q) Internal energy and (r) Entropy

### Summary of Matches:
- A → P
- B → Q & R
- C → S
- D → Q & R