how are the volume and pressure of a gas at constant temperature related?

According to Boyle's law, the volume and pressure of a gas at constant temperature are inversely related. In other words, as the volume of a gas increases, the pressure decreases, and vice versa. This relationship can be mathematically expressed as:

P₁V₁ = P₂V₂

Where P₁ and V₁ represent the initial pressure and volume, and P₂ and V₂ represent the final pressure and volume, respectively.

The relationship between the volume and pressure of a gas at constant temperature is described by Boyle's Law. According to Boyle's Law, the volume of a gas is inversely proportional to its pressure when temperature is held constant.

Mathematically, this relationship can be expressed as:

P1 * V1 = P2 * V2

where P1 and V1 represent the initial pressure and volume, respectively, and P2 and V2 represent the final pressure and volume, respectively.

To understand this relationship, let's consider an example. Suppose we have a gas confined within a container with an initial pressure P1 and volume V1. If we decrease the volume while keeping the temperature constant, the gas particles will collide more frequently with the container's walls, leading to an increase in pressure. On the other hand, if we increase the volume while keeping the temperature constant, the gas particles will collide less frequently with the container's walls, resulting in a decrease in pressure.

This inverse relationship between volume and pressure at constant temperature can be explained by the fact that gas particles occupy more space when the volume is increased, leading to a decrease in the number of collisions per unit area and thus a decrease in pressure. Conversely, when the volume is decreased, the gas particles are compressed into a smaller space, increasing the number of collisions per unit area and thus increasing the pressure.

Overall, Boyle's Law helps explain the relationship between the volume and pressure of a gas at constant temperature, highlighting how changes in one variable inversely impact the other.

I just answered the V and T question. Try using the same reasoning to answer this question.