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 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 each statement provided:

1. **Work done is a path function.**
- This statement is true. Work done depends on the path taken during the process, meaning it varies with different paths between the same initial and final states.

2. **Temperature is always a state function.**
- This statement is true. Temperature is a property that depends only on the current state of the system and not on how it reached that state.

3. **Change in the state is completely defined when the initial and final state are specified.**
- This statement is true. The change in state (such as change in energy, enthalpy, etc.) can be determined solely by knowing the initial and final states.

4. **Work is a state function.**
- This statement is false. Work is not a state function; it is a path function, meaning it depends on the process taken to go from one state to another.

Based on the analysis, the false statement is: **"Work is a state function."**

### Step-by-Step Solution:
1. **Identify the statements provided.**
- List out the statements regarding work, temperature, and change in state.

2. **Evaluate each statement for its truthfulness.**
- Analyze the nature of work, temperature, and state changes to determine if they are path functions or state functions.

3. **Determine which statement is false.**
- Compare the nature of work and temperature against the definitions of state and path functions.

4. **Conclude the false statement.**
- Identify that "Work is a state function" is incorrect.