Which one of the following is not true about the following thermodynamic processes ?

Options

A. For isobaric process `DeltaP=0`
B. For adiabatic process `DeltaQ=0`
C. For isothermal process `DeltaT=0`
D. For isochoric process `DeltaE=0`

Explanation

To solve the question regarding which statement is not true about the thermodynamic processes, we will analyze each process step by step.

### Step 1: Understand the Isobaric Process
- **Definition**: An isobaric process is one where the pressure remains constant.
- **Mathematical Representation**: If pressure (P) is constant, then the change in pressure (ΔP) is zero.
- **Conclusion**: The statement regarding the isobaric process (ΔP = 0) is true.

### Step 2: Understand the Adiabatic Process
- **Definition**: An adiabatic process is one where no heat is transferred into or out of the system.
- **Mathematical Representation**: In an adiabatic process, the heat transfer (ΔQ) is zero.
- **Conclusion**: The statement regarding the adiabatic process (ΔQ = 0) is true.

### Step 3: Understand the Isothermal Process
- **Definition**: An isothermal process is one where the temperature remains constant.
- **Mathematical Representation**: If temperature (T) is constant, then the change in temperature (ΔT) is zero.
- **Conclusion**: The statement regarding the isothermal process (ΔT = 0) is true.

### Step 4: Understand the Isochoric Process
- **Definition**: An isochoric process is one where the volume remains constant.
- **Mathematical Representation**: If volume (V) is constant, then the change in volume (ΔV) is zero.
- **Key Point**: However, the statement provided mentions that ΔE (change in energy) is zero, which is not true. In an isochoric process, while volume is constant, energy can change due to heat transfer or work done.
- **Conclusion**: The statement regarding the isochoric process (ΔE = 0) is incorrect.

### Final Conclusion
The statement that is not true is related to the isochoric process, where it incorrectly states that ΔE = 0. Therefore, the answer to the question is that the fourth statement is incorrect.

### Summary of Steps:
1. Analyze the isobaric process: ΔP = 0 (True).
2. Analyze the adiabatic process: ΔQ = 0 (True).
3. Analyze the isothermal process: ΔT = 0 (True).
4. Analyze the isochoric process: ΔV = 0 but ΔE ≠ 0 (False).