Which one of the following statements is false

Options

A. Work is a state function
B. Temperature is a state function
C. Change in the state is completely defined when the initial and final states are specified
D. Work appears at the boundary of the system

Explanation

To determine which statement is false, we need to analyze the given statements regarding thermodynamics and identify the incorrect one.

### Step-by-Step Solution:

1. **Understanding Work Done**:
- Work done is defined as a path function, not a state function. This means that the amount of work done depends on the specific process taken to go from one state to another, rather than just the initial and final states themselves.

2. **Analyzing the Statements**:
- **Statement 1**: Work done is a state function.
- This statement is **false** because work done depends on the path taken.
- **Statement 2**: Temperature is a state function.
- This statement is **true** because temperature is defined by the state of the system and does not depend on how the system reached that state.
- **Statement 3**: Change in state is completely defined when the initial and final states are specified.
- This statement is **true** as the change in state can be determined solely by knowing the initial and final states.
- **Statement 4**: Work appears at the boundaries of the system.
- This statement is also **true** because work is associated with the interaction at the boundaries of the system.

3. **Conclusion**:
- The false statement is: **Work done is a state function**.

### Final Answer:
The false statement is: **Work done is a state function**.

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