Graph (B) correctly shows the inverse relationship between pressure and volume of an ideal gas at constant temperature, following Boyle's Law.
Option (B) correctly represents the relationship between the pressure and the volume of an ideal gas that is held at constant temperature.
Boyle's Law states that for a fixed mass of gas kept at a constant temperature, pressure and volume are inversely proportional. This means that as the pressure of the gas increases, the volume decreases, and vice versa.
The graph in option (B) shows an inverse relationship between pressure and volume, which is consistent with Boyle's Law. The other graphs do not show an inverse relationship, so they are not correct representations of the relationship between pressure and volume of an ideal gas at constant temperature.
Here is a table of the four graphs and their corresponding relationships between pressure and volume:
| Graph | Relationship between pressure and volume |
|---|---|---|
| A | Direct proportionality |
| B | Inverse proportionality |
| C | No relationship |
| D | Direct proportionality up to a certain point, then no relationship |
Therefore, the graph that correctly represents the relationship between the pressure and the volume of an ideal gas that is held at constant temperature is (B).