Question

A graph of gas pressure versus the number of particles in a container is a straight line. Which other relationship will have a similar graph?

Answer 1

The relationship between pressure and volume in a gas at constant temperature is similar to the relationship between gas pressure and the number of particles in a container. Both relationships result in a straight line when graphed.

Step-by-step explanation:

A similar relationship that will have a graph similar to gas pressure vs. the number of particles in a container is the relationship between pressure and volume in a gas at constant temperature. According to Boyle's law, when the temperature of a gas is held constant, the pressure and volume are inversely proportional. This means that as the volume of the gas decreases, the pressure increases proportionally and vice versa. When this relationship is graphed, it will also result in a straight line, just like the graph of gas pressure vs. the number of particles in a container.

Answer 2

From the Law of Boyle for gases you know that the pressure and the volume of gases are inversely related. That, means that you can state PV = constant. And that implies that if P has a linear relation with the number of particles (which is what the straight line means), then V has the same kind of relation. So, the relationship of volume and number of partilces will have a similar graph.