# BOYLE'S LAW

#### branchTHERMAL PHYSICS

Coming from GASES
Leading to THE IDEAL GAS LAW
Boyle's law is an experimental gas law which describes how the pressure of a gas tends to decrease as the volume of a gas increases. A modern statement of Boyle's law is ===The absolute pressure exerted by a given mass of an ideal gas is inversely proportional to the volume it occupies if the temperature and amount of gas remain unchanged within a closed system.=== Mathematically, Boyle's law can be stated as: $$P \propto \frac{1}{V}$$ or $$PV = k$$ where P is the pressure of the gas, V is the volume of the gas, and k is a constant. [image:http://upload.wikimedia.org/wikipedia/commons/thumb/e/ea/Boyles_Law.svg/220px-Boyles_Law.svg.png]The equation states that product of pressure and volume is a constant for a given mass of confined gas as long as the temperature is constant. For comparing the same substance under two different sets of condition, the law can be usefully expressed as: $$P_1V_1 = P_2V_2$$ [image:http://upload.wikimedia.org/wikipedia/commons/thumb/1/15/Boyles_Law_animated.gif/300px-Boyles_Law_animated.gif]
Credit: Tristan O'Hanlon