In
1660 Robert Boyle found out experimentally the change in volume of a given sample of fou with it room temperature. From his observations he formulated a generalisation known as Boyle's Law, it states that:At constant temperature, the volume of a fixed mass of gas is inversely proportional to its pressure.
If the pressure is doubled, the volume is halved.
The Boyle's Law may be expressed mathematically as
V 1/P
V = k x 1/P
Where k is a proportionality constant.
PV = K
If P1, V1 are the initial pressure and volume of a given sample of gas and P2, V2 the chenged pressure and volume,
we can write
P1 V1 = k = P2 V2
P1 V1 = P2 V2
This relationship is useful for the determination of the volume of a gas at any pressure, if iis volume at any other pressure is known. "full'
Example :