Question
Explain on the basis of kinetic theory that pressure of gas increases with the increase of temperature.
Solution
Pressure of gas is equal to the rate of change of momentum of molecules striking per unit area. According to kinetic theory of gases, r.m.s. speed of molecules is directly proportional to the square root of temperature. Therefore, with the increase in temperature, the r.m.s speed increases, hence increase in the change in momentum. With increase in temperature, collision frequency also increases.
Therefore, both the factors increase the rate of change of momentum and hence pressure increases with the increase in temperature.
Therefore, both the factors increase the rate of change of momentum and hence pressure increases with the increase in temperature.
