Boyle’s Law:

Boyle’s Law is a scientific law that describes the relationship between pressure and volume of a gas. It states that, for a fixed amount of gas at a constant temperature, the pressure and volume of the gas are inversely proportional. This means that if the volume of a gas increases, its pressure decreases, and vice versa.

Mathematically, Boyle’s Law can be expressed as:

P ∝ ¹/_V Or

V ∝ ¹/_P Or

PV = Constant

where,
P = Pressure of a gas
V = Volume of a gas

Boyle’s law can also be represented as:

P₁ V₁ = P₂ V₂

where P₁and V₁ are the initial pressure and volume of the gas, and P₂ and V₂are the final pressure and volume of the gas.

Applications of (P-V) relationship of a gas OR “Boyle's law”:

Some applications of pressure-volume (p-V) relationship of a gas i.e. Boyle’s law are:

Aerosols, such as spray paints, use the Boyle’s law in their working mechanism.
A bicycle pump is good example of Boyle’s law.
As the volume of the air trapped in the pump is reduced, its pressure goes up, and air is forced into the tyre.
Syringe: When fluid are drawn into a syringe, The volume inside the syringe is increased, the pressure decreases on the inside of syringe. The pressure n the outside of the syringe is greater, therefore fluids are forced into the syringe.
Lungs: When we breathe, our diaphragm moves downward, increasing the volume of the lungs. this cause the pressure inside the lungs to be less than the outside pressure so air rushes in.

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