Match the following
`{:(,"Column-I",,"Column-II"),((A),"Enthalpy",(p),"Extensive property"),((B),"Entropy",(q),"H - TS"),((C),"Free energy",(r),"E + PV"),((D),"Pressure",(s),"Intensive property"):}`

Answer

To solve the matching question, we will analyze each term in Column-I and find the corresponding term in Column-II based on their definitions and properties.

### Step-by-Step Solution:

1. **Identify Enthalpy (A)**:
- Enthalpy is represented by the symbol **H**.
- It is a **state function** and an **extensive property**, meaning it depends on the amount of substance.
- The formula for enthalpy is given by \( H = E + PV \).
- **Match**: A → (p) Extensive property and (r) \( H - TS \) (since \( H - TS \) relates to free energy).

2. **Identify Entropy (B)**:
- Entropy is represented by the symbol **S**.
- It is also a **state function** and an **extensive property**, meaning it depends on the amount of substance.
- **Match**: B → (p) Extensive property.

3. **Identify Free Energy (C)**:
- Free energy is often represented by the symbol **G**.
- The relationship involving free energy is \( G = H - TS \).
- Free energy is also an **extensive property**.
- **Match**: C → (q) \( H - TS \) and (p) Extensive property.

4. **Identify Pressure (D)**:
- Pressure is a measure of force per unit area and is represented by the symbol **P**.
- It is an **intensive property**, meaning it does not depend on the amount of substance.
- **Match**: D → (s) Intensive property.

### Final Matches:
- A → (p) Extensive property, (r) \( H - TS \)
- B → (p) Extensive property
- C → (q) \( H - TS \), (p) Extensive property
- D → (s) Intensive property

### Summary of Matches:
- A → (p), (r)
- B → (p)
- C → (q), (p)
- D → (s)