Among the following, the set of parameters that represents path function is :
(A) q + w (B) q
(C) w (D) H -TS

Options

A. (A) and (D)
B. (B), (C) and (D)
C. (B) and (C)
D. (A), (B) and (C)

Explanation

To solve the question regarding which parameters represent path functions, we need to understand the concepts of state functions and path functions in thermodynamics.

### Step-by-Step Solution:

1. **Define State Functions and Path Functions**:
- State functions depend only on the initial and final states of a system, regardless of the path taken to get there. Examples include internal energy (U), enthalpy (H), and Gibbs free energy (G).
- Path functions depend on the specific path taken during a process. Examples include heat (q) and work (w).

2. **Analyze the Given Options**:
- **(A) q + w**: This represents a change in internal energy (ΔU) according to the first law of thermodynamics (ΔU = q + w). Since internal energy is a state function, this combination does not represent a path function.
- **(B) q**: Heat (q) is a path function because it depends on how the process is carried out (the path taken).
- **(C) w**: Work (w) is also a path function for the same reason as heat; it depends on the path taken during the process.
- **(D) H - TS**: This expression represents Gibbs free energy (G), which is a state function as it depends only on the initial and final states, not on the path taken.

3. **Conclusion**:
- The parameters that represent path functions among the given options are **(B) q** and **(C) w**.

### Final Answer:
The set of parameters that represents path functions is **(B) q and (C) w**.