The true graphical representation of volume versus temperature relationship at constant pressure is :

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Answer

To solve the question about the graphical representation of the volume versus temperature relationship at constant pressure, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ideal Gas Law**:
The ideal gas law is given by the equation \( PV = nRT \), where:
- \( P \) = pressure
- \( V \) = volume
- \( n \) = number of moles of gas
- \( R \) = ideal gas constant
- \( T \) = temperature in Kelvin

2. **Identify Constants**:
In this scenario, we are considering the relationship at constant pressure. This means that \( P \) is fixed, and since the number of moles \( n \) and the gas constant \( R \) are also constants, we can simplify the equation.

3. **Rearranging the Ideal Gas Law**:
Since \( P \) is constant, we can rearrange the ideal gas law to express volume \( V \) in terms of temperature \( T \):
\[ V = \frac{nR}{P} T \]
Here, \( \frac{nR}{P} \) is a constant (let's call it \( k \)). Thus, we can rewrite the equation as:
\[ V = kT \]

4. **Determine the Relationship**:
The equation \( V = kT \) indicates that volume \( V \) is directly proportional to temperature \( T \). This means that as temperature increases, volume also increases, and vice versa.

5. **Graphical Representation**:
When we graph this relationship, we plot volume \( V \) on the y-axis and temperature \( T \) on the x-axis. Since the relationship is linear (directly proportional), the graph will be a straight line that passes through the origin (0,0).

6. **Conclusion**:
Therefore, the true graphical representation of the volume versus temperature relationship at constant pressure is a straight line that starts from the origin.

### Final Answer:
The true graphical representation of volume versus temperature relationship at constant pressure is a straight line passing through the origin.

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