For adiabatic process which is correct -

Options

A. `Delta T = 0`
B. `Delta S = 0`
C. q = 0
D. `q_(p) = 0`

Answer

To solve the question regarding the adiabatic process, we need to understand the fundamental characteristics of this type of thermodynamic process. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Definition of an Adiabatic Process
An adiabatic process is defined as a thermodynamic process in which there is no heat transfer (Q) into or out of the system. This means that all the energy changes in the system are due to work done on or by the system.

**Hint:** Remember that in an adiabatic process, the heat exchange (Q) is zero.

### Step 2: Identify the Key Characteristics
In an adiabatic process:
- The heat exchange (Q) is equal to 0.
- The internal energy change (ΔU) of the system is equal to the work done (W) on or by the system, according to the first law of thermodynamics: ΔU = Q - W. Since Q = 0, it simplifies to ΔU = -W.

**Hint:** Recall the first law of thermodynamics and how it applies to adiabatic processes.

### Step 3: Analyze the Options
Given the options (A, B, C, D), we need to identify which one correctly states the characteristics of an adiabatic process. Since we established that Q = 0, we can look for an option that reflects this fact.

**Hint:** Look for the option that explicitly states that heat transfer is zero in an adiabatic process.

### Step 4: Select the Correct Option
Based on the understanding that in an adiabatic process, no heat is exchanged (Q = 0), we conclude that the correct option is C, which states that Q = 0 for an adiabatic process.

**Hint:** Confirm that option C aligns with the definition of an adiabatic process.

### Final Answer
The correct option for the adiabatic process is **C**, which states that Q = 0.