Out of molar entropy (I), specific volume (II), heat capacity (III), volume (IV), extensive properties are :

Options

A. I, II
B. I, II, IV
C. II, III
D. III, IV

Explanation

To determine which of the given properties are extensive, we need to understand the definitions of extensive and intensive properties.

### Step-by-Step Solution:

1. **Understanding Extensive and Intensive Properties**:
- **Extensive Properties**: These properties depend on the amount of substance present. Examples include mass, volume, and heat capacity.
- **Intensive Properties**: These properties do not depend on the amount of substance. Examples include temperature, pressure, and molar entropy.

2. **Analyzing Each Property**:
- **Molar Entropy (I)**:
- Definition: Molar entropy is the entropy per mole of a substance.
- Analysis: Since it is defined per mole, it does not depend on the total amount of substance. Therefore, molar entropy is an **intensive property**.

- **Specific Volume (II)**:
- Definition: Specific volume is the volume occupied by a unit mass of a substance (volume/mass).
- Analysis: Specific volume is a ratio and is typically considered an intensive property because it describes the volume per unit mass, not the total volume. Thus, specific volume is also an **intensive property**.

- **Heat Capacity (III)**:
- Definition: Heat capacity is the amount of heat required to change the temperature of a substance by one degree.
- Analysis: Heat capacity depends on the mass of the substance. More mass means more heat is required to change the temperature. Therefore, heat capacity is an **extensive property**.

- **Volume (IV)**:
- Definition: Volume is the space occupied by a substance.
- Analysis: Volume directly depends on the amount of substance present. More substance means more volume. Therefore, volume is also an **extensive property**.

3. **Conclusion**:
- The extensive properties from the given options are **Heat Capacity (III)** and **Volume (IV)**.

### Final Answer:
The extensive properties are **Heat Capacity (III)** and **Volume (IV)**.