What is the formula representing the relationship between pressure, volume, and temperature of a gas?

The relationship between pressure, volume, and temperature of a gas is expressed by the combined gas law, which is represented by the formula P1V1/T1 = P2V2/T2. This equation is a manifestation of the ideal gas law, derived from combining Boyle's law, Charles's law, and Gay-Lussac's law.

In this formula, P represents pressure, V represents volume, and T represents temperature, while the subscripts denote different states of the gas (for example, initial conditions 1 and final conditions 2). The equation shows how changes in one condition (pressure, volume, or temperature) can affect the others, maintaining the relationship consistent across two different states of the gas.

This formula allows for the calculation of one variable if the others are known, thereby illustrating the behavior of an ideal gas under varying conditions. Its utility in practical scenarios, such as solving gas law problems in chemistry, highlights its importance in understanding gas behavior in various circumstances.