Which one of the following staternents 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.

Answer

To determine which statement is false, we need to analyze each of the provided options regarding their classification as state functions or not.

### 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 initial and final states of the system.

2. **Analyzing Option 1**:
- The statement claims that "Work is a state function."
- This is false because work is not a state function; it is a path function. The amount of work done depends on the process taken to go from the initial state to the final state, not just on the states themselves.

3. **Analyzing Option 2**:
- The statement claims that "Temperature is a state function."
- This is true. Temperature is a state function because it only depends on the current state of the system and not on how that state was achieved.

4. **Analyzing Option 3**:
- The statement claims that "Work appears at the boundary of the system."
- This is true. Work is associated with the boundary interactions of a system, such as expansion or compression against external pressure.

5. **Conclusion**:
- From the analysis, we find that the only false statement is the first one: "Work is a state function." Therefore, the answer is that this statement is false.

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