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QUESTION

# What is Charles' law formula?

The physical law that the volume of a fixed mass of gas held at a constant pressure varies directly with the absolute temperature.

This law states that the volume of a given amount of gas ,at a constant pressure gas varies with its temperature

or simply we can say that the volume of gas changes with its temperature. At a higher temperature , a gas will take up more volume ( expands) , at a lower temperature, a gas will take up lesser volume or it contracts.

Let us suppose that we have a given amount of gas enclose in a balloon, the temperature of the gas is T_1 (Kelvin) , and it takes up the volume V_1 (Liter). If the Temperature is changed to a new value called T_2 , then the volume changes to V_2.

as per the law the ratio of Volume / temperature stays the same, if one increases , the other decreases but the ratio does not change.

V_1 / T_1 = k ......(a)

 V_2 / T_2 = k ......(b)

equating the two equations (a) and (b)

V_1 / T_1 = V_2 /T_2

or

V_1 . T_2 = V_2 . T_1