Question
Deduce Charle’s law on the basis of kinetic theory of gases.
Solution
Charles law states that, for a fixed pressure, the volume of gas is proportional to it's absolute temperature.
Now, according to kinetic theory of gases, pressure of an ideal gas is given by,
i.e.,
where,
V : is the volume of the gas
v2 : mean of the squared speed.
At constant pressure, for a given mass of gas
And,
Therefore, at constant pressure
Now, according to kinetic theory of gases, pressure of an ideal gas is given by,
i.e.,
where,
V : is the volume of the gas
v2 : mean of the squared speed.
At constant pressure, for a given mass of gas
And,
Therefore, at constant pressure
Hence, Charles' law is proved.
