Which of the following properties of system are intensive ?

Options

A. color
B. kinetic energy per mole
C. `X` (where `X=U+H`)
D. specific volume (volume per unit mass)

Answer

To determine which of the given properties of a system are intensive, we need to understand the definition of intensive properties. Intensive properties are those that do not depend on the amount of substance present in the system. Let's analyze each option step by step.

### Step-by-Step Solution:

1. **Understanding Intensive Properties**:
- Intensive properties are independent of the mass of the system. Examples include temperature, pressure, color, density, etc.

2. **Analyzing the First Property - Color**:
- Color is a characteristic that does not depend on the amount of substance. Therefore, it is an intensive property.
- **Conclusion**: Color is an intensive property.

3. **Analyzing the Second Property - Kinetic Energy per Mole**:
- Kinetic energy is generally dependent on mass. However, when we consider kinetic energy per mole, we are effectively normalizing it to a standard amount (1 mole).
- Since we are dividing by the number of moles, the mass dependence cancels out, making it independent of the total mass of the system.
- **Conclusion**: Kinetic energy per mole is an intensive property.

4. **Analyzing the Third Property - U + H (Internal Energy + Enthalpy)**:
- Both internal energy (U) and enthalpy (H) are extensive properties, meaning they depend on the amount of substance present.
- Therefore, the sum of two extensive properties (U + H) is also extensive and not intensive.
- **Conclusion**: U + H is not an intensive property.

5. **Analyzing the Fourth Property - Specific Volume**:
- Specific volume is defined as volume per unit mass. It can be expressed as \( V/m \), where V is volume and m is mass.
- Since specific volume normalizes volume by mass, it becomes independent of the total mass of the system.
- **Conclusion**: Specific volume is an intensive property.

### Final Answer:
From the analysis, we conclude that the intensive properties among the options given are:
- Color (A)
- Kinetic Energy per Mole (B)
- Specific Volume (D)

Thus, the correct options are A, B, and D.