Slope of PV and V for an isobaric process will be

Options

A. `-1`
B. zero
C. `+ 1`
D. n R T

Explanation

To find the slope of the graph of PV versus V for an isobaric process, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Isobaric Process**:
- An isobaric process is defined as a thermodynamic process in which the pressure (P) remains constant.

2. **Set Up the Graph**:
- In this case, we are plotting PV on the y-axis and V (volume) on the x-axis.

3. **Identify the Slope**:
- The slope of a graph is defined as the change in the y-axis variable divided by the change in the x-axis variable. Mathematically, this is expressed as:
\[ \text{slope} = \frac{\Delta (PV)}{\Delta V} \]

4. **Substituting for Isobaric Process**:
- Since the pressure is constant during an isobaric process, we can express PV as:
\[ PV = P \cdot V \]
- Therefore, the change in PV can be expressed as:
\[ \Delta (PV) = P \cdot \Delta V \]

5. **Calculate the Slope**:
- Substituting this into the slope formula gives:
\[ \text{slope} = \frac{P \cdot \Delta V}{\Delta V} \]
- The \(\Delta V\) terms cancel out (as long as \(\Delta V \neq 0\)):
\[ \text{slope} = P \]

6. **Conclusion**:
- Since the pressure is constant throughout the process, the slope of the graph of PV versus V for an isobaric process is equal to the constant pressure P.

### Final Answer:
The slope of PV versus V for an isobaric process is equal to the constant pressure P.