00:01
Now here we will be proving the pressure density relationship in the kinetic theory of gases.
00:05
For that we assume a small particle of mass m which is moving along the x axis with the velocity ux.
00:13
Now as per the basic principles of ktg, the velocities of any body is distributed equally among all the x axis.
00:21
So modulus of ux equals to modulus of uy equals to modulus of uz.
00:27
Therefore, the total speed square will be 3, let that be equal to mu0, will be equal to 3 mu0 square.
00:38
Now this is one of the equations which we are going to use.
00:45
Now momentum imparted by this body will be equal to 2m mu0 which is moving in the right direction with the velocity mu0 to collision and again bounce back with the same velocity.
00:57
Now there are n such particles in this box.
01:01
So the total momentum imparted will be n times this.
01:07
Now let us assume that this is a cuboid, this is a cube of length l...