According to the combined gas law, how does pressure relate to volume and temperature?

The combined gas law states that the ratio of the product of pressure and volume to the temperature of a gas is constant for a given amount of gas. Mathematically, it can be expressed as ( \frac{PV}{T} = k ), where ( P ) is pressure, ( V ) is volume, ( T ) is temperature (in Kelvin), and ( k ) is a constant.

From this relationship, it can be deduced that pressure is inversely proportional to volume and directly proportional to temperature. This means that if the temperature of a gas increases (while keeping the volume constant), the pressure will increase; conversely, if the volume increases (while keeping the temperature constant), the pressure will decrease.

This relationship highlights the fundamental behavior of gases under varying conditions, which is foundational in understanding gas behavior in different scenarios, such as in engineering and atmospheric science. Thus, the response indicating that pressure is inversely proportional to volume and directly proportional to temperature aligns perfectly with the principles described by the combined gas law.