Question

What is Charles' law formula?

Answer 1

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`