**BOYLE’S LAW**

The relationship between volume and pressure of a gas was first started by Robert Boyle in 1662.

**Boyle’s law states that ***the volume of a given mass of gas is inversely proportional to its pressure, provided that the temperature remains constant.*

According to Boyle’s law, volume of a gas increases as the pressure decreases and vice versa.

This relationship is independent of the nature of the gas and it can be expressed mathematically as:

\(V ∝ \frac{1}{P} \\ ∴ V = \frac{k}{p} \)

or \(PV = k\)

Where V = Volume at pressure P

K = A mathematical constant

For a given mass of a gas, the product of its pressure and its volume is always a constant. If the pressure of a given mass of gas increases, its volume will decrease by a similar proportion and vice versa, as long as the temperature remain constant. This relationship can also be expressed mathematically as:

\(P_1 V_1 = P_2 V_2 \)

Where V_{1} = Volume at pressure P_{1}

V_{2 }= Volume at pressure P_{2}

Boyle’s law can still be re-stated as: ‘The pressure of a given mass of gas is inversely proportional to its volume, provided the temperature remains constant.

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