Which of the following is zero for an isochoric process

Options

A. dP
B. dV
C. dT
D. dE

Explanation

To solve the question "Which of the following is zero for an isochoric process?", we need to understand the definition of an isochoric process and analyze the properties associated with it.

### Step-by-Step Solution:

1. **Definition of Isochoric Process**: An isochoric process is defined as a thermodynamic process in which the volume of the system remains constant. This means that during the entire process, there is no change in volume.

2. **Understanding Change in Volume**: Since the volume does not change in an isochoric process, we can express this mathematically as:
\[ \Delta V = V_{\text{final}} - V_{\text{initial}} = 0 \]
Here, \(V_{\text{final}} = V_{\text{initial}}\), therefore, the change in volume (\(\Delta V\)) is zero.

3. **Identifying Other Properties**: In thermodynamics, there are several properties that can be analyzed during a process, such as:
- Work done (\(W\))
- Heat transfer (\(Q\))
- Change in internal energy (\(\Delta U\))

4. **Work Done in an Isochoric Process**: The work done by or on the system during a thermodynamic process is given by the formula:
\[ W = P \Delta V \]
Since we established that \(\Delta V = 0\) for an isochoric process, we can conclude:
\[ W = P \cdot 0 = 0 \]
Therefore, the work done in an isochoric process is zero.

5. **Conclusion**: Based on the analysis, the property that is zero for an isochoric process is the work done (\(W\)).

### Final Answer:
The work done (\(W\)) is zero for an isochoric process.

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