Which 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 initial and final states are specified.
D. work appears at the boundary of the system.

Explanation

To determine which statement is false among the given options, we need to understand the concepts of state functions and path functions in thermodynamics.

### Step-by-Step Solution:

1. **Identify the Definitions**:
- **State Function**: A property that depends only on the current state of the system, regardless of how it got there. Examples include temperature, pressure, internal energy, enthalpy, and entropy.
- **Path Function**: A property that depends on the path taken to reach a particular state. The two main path functions in thermodynamics are work (W) and heat (Q).

2. **Analyze the Statements**:
- **Statement A**: "Work is a state function."
- This is **false**. Work is a path function because it depends on the process taken to do the work.
- **Statement B**: "Temperature is a state function."
- This is **true**. Temperature is a property that depends only on the state of the system.
- **Statement C**: "Change in the state is completely defined when the initial and final states are specified."
- This is **true**. The change in state (e.g., change in internal energy) can be determined solely from the initial and final states.
- **Statement D**: "Work appears at the boundary of the system."
- This is **true**. Work is done at the boundary when there is a change in volume or pressure.

3. **Conclusion**:
- The false statement among the options is **Statement A**: "Work is a state function."

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