For an adiabatic process, which of the following is correct ?
`P DeltaV = 0`
`q = + w`
`DeltaE = q`
`q = 0`

Options

A. `P DeltaV = 0`
B. `q = + w`
C. `DeltaE = q`
D. `q = 0`

Explanation

To solve the question regarding the characteristics of an adiabatic process, let's analyze each option step by step.

### Step 1: Understanding Adiabatic Processes
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 any change in internal energy is solely due to work done on or by the system.

### Step 2: Analyzing Each Option
1. **Option 1: P ΔV = 0**
- This statement implies that the pressure multiplied by the change in volume is zero. This is not a general characteristic of adiabatic processes. Therefore, this option is incorrect.

2. **Option 2: q = + w**
- In thermodynamics, this equation suggests that the heat added to the system (q) is equal to the work done on the system (w). However, in an adiabatic process, since there is no heat transfer (q = 0), this statement is also incorrect.

3. **Option 3: ΔE = q**
- This equation states that the change in internal energy (ΔE) is equal to the heat added to the system (q). In an adiabatic process, since q = 0, this means ΔE would also be zero, which is not generally true. Therefore, this option is incorrect.

4. **Option 4: q = 0**
- This statement is correct. In an adiabatic process, there is no heat transfer, which means q = 0.

### Conclusion
The correct answer is **Option 4: q = 0**.