Select incorrect statement(s)

Options

A. A closed system with all adiabatic boundaries must be an isolated system
B. Total heat exchange in a cyclic process may be zero
C. Entropy of a closed system is maximum at equilibrium
D. Molar Gibb's Energy is an extensive property

Explanation

To solve the question of selecting the incorrect statement(s) regarding thermodynamics, we will analyze each statement one by one.

### Step-by-step Solution:

1. **Statement 1: A closed system with all adiabatic bodies must be an isolated system.**
- **Analysis:** A closed system can exchange work but not heat. An adiabatic boundary prevents heat exchange but allows work to be done. Therefore, if work can be done (e.g., through a movable piston), energy exchange is still possible. Hence, this statement is **incorrect**.

2. **Statement 2: Total heat exchange in a cyclic process may be zero.**
- **Analysis:** In a cyclic process, the system returns to its initial state. Therefore, the change in internal energy (ΔU) is zero. According to the first law of thermodynamics, Q + W = ΔU. If ΔU = 0, then Q = -W. This means that while the total heat exchange can be zero if work done is also zero, it is not necessarily always zero. Thus, this statement is **correct**.

3. **Statement 3: Entropy of a closed system is maximum at equilibrium.**
- **Analysis:** At equilibrium, the entropy of a closed system is indeed at its maximum. This is a fundamental principle of thermodynamics. Therefore, this statement is **correct**.

4. **Statement 4: Molar Gibbs energy is an extensive property.**
- **Analysis:** Molar Gibbs energy is defined per mole of substance, which means it is independent of the amount of substance present. Extensive properties depend on the amount of substance, while intensive properties do not. Therefore, molar Gibbs energy is an **intensive property**, making this statement **incorrect**.

### Conclusion:
The incorrect statements are:
- Statement 1: A closed system with all adiabatic bodies must be an isolated system.
- Statement 4: Molar Gibbs energy is an extensive property.

### Final Answer:
The incorrect statements are 1 and 4.

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