Which one of the following statement 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 intial and final states are specified
D. work appears at the boundary of the system.

Answer

To determine which statement is false among the given options, we need to analyze each statement based on the principles of thermodynamics.

### Step-by-Step Solution:

1. **Understanding State Functions**:
- A state function is a property whose value does not depend on the path taken to reach that specific value. It only depends on the current state of the system.

2. **Analyzing Each Statement**:
- **Statement 1**: "Work is a state function."
- **Analysis**: This statement is **false**. Work is not a state function; it is a path function. The amount of work done depends on the specific path taken during the process, not just the initial and final states.

- **Statement 2**: "Temperature is a state function."
- **Analysis**: This statement is **true**. Temperature is indeed a state function as it depends only on the current state of the system and not on how that state was reached.

- **Statement 3**: "Change in the state is completely defined when the initial and final states are specified."
- **Analysis**: This statement is **true**. The change in state (for state functions) is determined solely by the initial and final states, regardless of the path taken.

- **Statement 4**: "Work appears at the boundary of the system."
- **Analysis**: This statement is **true**. Work is associated with the boundary of the system, as it involves energy transfer across the system's boundaries.

3. **Conclusion**:
- The only false statement among the options is the first one: "Work is a state function."

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