Discuss the main points to be considered while deriving the equation of pressure on the basis of the kinetic theory of gases.

(N/A) The following points are to be considered while deriving the equation based on the kinetic theory of gases:
$(1)$ First Point: The container does not need to be of a cubic or regular shape. It can be of an irregular shape as well. This is because,in the equation $P = \frac{1}{3} \rho \langle v^2 \rangle$,terms containing area or specific geometry are not present. Hence,the shape of the container does not affect the pressure.
$(2)$ Second Point: According to Pascal's law,the pressure of a gas in equilibrium is transmitted equally to all parts of the container.
$(3)$ Third Point: In the calculation of pressure based on the kinetic theory,other types of collisions are neglected. Even if collisions are not continuous,the time duration of a collision is negligible compared to the time interval between successive collisions; therefore,it has no significant effect on the pressure.