For a gas obeying the Maxwell velocity distribution obtain

Please see attached file.

1. For a gas obeying the Maxwell velocity distribution obtain:

a) The most probable speed of the particles
b) The most probable Kinetic Energy of the particles
c) The mean speed of the particles
d) The root mean squared speed of the particles the mean kinetic energy of the particles

2. For a classical ideal gas at temperature T , calculate the average value of (|P|)^.5 where P is the momentum of a particle.