# Charle’s law

In 1787, a French physicist, Charless showed the relationship between the volume of a given mass of a gas and it’s temperature at a constant pressure. This law is called Charle’s law

### Statement

At constant pressure, the volume of a given mass of a gas is directly proportional to the absolute temperature

and

At constant pressure, the ratio of volume to the absolute temperature of given mass of a gas is always constant.

#### Mathematic Expression:

Mathematically it may be written as
V ∞ T
V = K T
OR
V / T = K

#### Explanation:

It means, if the pressure is kept constant, the increase in temperature would result also in increase the volume of a given mass of a gas. Similarly, the decrease in temperature results also in decrease in the volume of a gas This relation shows that the ratio of volume of a given mass of a gas to its absolute temperature is always constant provided the pressure is kept constant. On this bases Charles Law may also be defined as,
If the pressure remains constant for each 1ºC change of temperature the volume of the gas changes to 1/273 of its original volume.
On the bases of this statement
V1 / T = K & V2 / T2 = K
V1 / T1 = V2 / T2
This equation is known as Charle’s equation.
The volume temperature relationship can be represented graphically. When volume of a given mass of gas is plotted against temperature, a straight line is obtained

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