The function f(v) is the number of particles with velocities within a volume d^3v in velocity space. The constant A is a normalization constant. The formula is valid when the gas is in thermal equilibrium. Maxwell was the first to test this formula experimentally. He let a gas stream out of a container into a vacuum for a short time. The gas molecules then moved toward a very fast rotating disk. Molecules with different speeds would hit the disk at different positions. The disk is made out of a material that will cause the molecules hitting it to stick to the disk causing it to discolor. By investigating the disk one can then deduce the speed distribution.

a) The average of v_x is zero due to the symmetry of the speed distribution as a function of v_x.

b) The average of |v_x| can be computed as follows. We first normalize f(v) such that it gives the probability density for the speed:

f(v) = [m/(2 pi k T)]^(3/2) exp[-m v^2/(2 k T)] (1)

... hertz) = r2(cos2θ + sin2θ) Velocity c = / k ... of electrons in the source (Maxwell) 07/09/2011 ... Black Body Radiation Distribution Continuous spectrum ...

Maxwell distribution. Plot the Maxwell distributions for CO2, N2, and He at 298K in the velocity range of 0 to 2500 m/s. Label each curve appropriately. ...

... Think about the distribution of velocities in a ... Let F (v ) ∈ C 1 [R3 → R] be the probability density for the equilib- rium velocity, so that DF d3 v is ...

... The probability of a particle to have velocity vx is given by the Maxwell distribution: ... The total pressure is the integral over all possible velocities: ...

... into the free-space form of Maxwell's equations, viz ... from the potential of an arbitrary charge distribution The current ... X ( t ) ) where v is the velocity of the ...

... distance v from the origin of velocity space is ... 1) As per Maxwell speed distribution law : ... m To find the fraction of molecules having velocities between vm ...

... The Maxwell speed distribution for the atoms in the oven is ... that the x-component of the velocity is in a ... 1/2 due to the symmetery of the Gaussian distribution. ...