Editing Boyle's law (section)

===Equation===
{{Ideal gas law relationships.svg}}
The mathematical equation for Boyle's law is:

<math display="block"> PV = k </math>

where {{mvar|P}} denotes the [[pressure]] of the system, {{mvar|V}} denotes the [[volume]] of the gas, {{mvar|k}} is a constant value representative of the temperature of the system and [[Amount of substance|amount]] of gas.

So long as [[temperature]] remains constant the same amount of energy given to the system persists throughout its operation and therefore, theoretically, the value of {{mvar|k}} will remain constant. However, due to the derivation of pressure as perpendicular applied force and the probabilistic likelihood of collisions with other particles through [[collision theory]], the application of force to a surface may not be infinitely constant for such values of {{mvar|V}}, but will have a [[limit (mathematics)|limit]] when [[differential calculus|differentiating]] such values over a given time. Forcing the volume {{mvar|V}} of the fixed quantity of gas to increase, keeping the gas at the initially measured temperature, the pressure {{mvar|P}} must decrease proportionally. Conversely, reducing the volume of the gas increases the pressure. Boyle's law is used to predict the result of introducing a change, in volume and pressure only, to the initial state of a fixed quantity of gas.

The initial and final volumes and pressures of the fixed amount of gas, where the initial and final temperatures are the same (heating or cooling will be required to meet this condition), are related by the equation:

<math display="block">P_1 V_1 = P_2 V_2. </math>

Here {{math|''P''<sub>1</sub>}} and {{math|''V''<sub>1</sub>}} represent the original pressure and volume, respectively, and {{math|''P''<sub>2</sub>}} and {{math|''V''<sub>2</sub>}} represent the second pressure and volume.

Boyle's law, [[Charles's law]], and [[Gay-Lussac's law#Pressure-temperature law|Gay-Lussac's law]] form the [[combined gas law]]. The three gas laws in combination with [[Avogadro's law]] can be generalized by the [[ideal gas law]].