The slope of P-V graph for isochoric process is

Options

A. Zero
B. Infinite
C. One
D. Two

Answer

To determine the slope of the P-V graph for an isochoric process, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Isochoric Process**:
- An isochoric process is defined as a thermodynamic process in which the volume remains constant. This means that the initial volume (V_initial) is equal to the final volume (V_final).

2. **Draw the P-V Diagram**:
- On a P-V diagram, the x-axis represents volume (V) and the y-axis represents pressure (P). For an isochoric process, since the volume does not change, we will have a vertical line on the P-V graph.

3. **Identify the Slope**:
- The slope of a line on a graph is defined as the change in the y-axis variable (pressure, P) divided by the change in the x-axis variable (volume, V). Mathematically, this is expressed as:
\[ \text{slope} = \frac{\Delta P}{\Delta V} \]
- In the case of an isochoric process, since the volume (V) is constant, there is no change in volume (\(\Delta V = 0\)).

4. **Calculate the Slope**:
- Since \(\Delta V = 0\), the slope becomes:
\[ \text{slope} = \frac{\Delta P}{0} \]
- Division by zero is undefined, which indicates that the slope is infinite.

5. **Conclusion**:
- Therefore, the slope of the P-V graph for an isochoric process is infinite.

### Final Answer:
The slope of the P-V graph for an isochoric process is infinite.

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