Maxwell-Boltzmann Distribution

k_B = 1.38 10^-23 J/K – Boltzmann's constant;

f – MB distribution; x – velocity; m – mass of Oxygen molecule O2 [kg]; T – temperature [K];

m=5.3*10^(-26),k_B=1.38*10^(-23)

T=slider([0,500])

function(f,x)=4*pi*[m/(2*pi*k_B*T)]^(3/2)*x^2*e^([-m]*x^2/(2*k_B*T))

function(f,x)*10^5,x>0

Most probable, average, and rms velocities:

v_p=sqrt(2*k_B*T/m),v_(a*v*e)=sqrt(8*k_B*T/(pi*m)),v_(r*m*s)=sqrt(3*k_B*T/m)

x=v_p

x=v_(a*v*e)

x=v_(r*m*s)



Author: David Craig <http://web.lemoyne.edu/~craigda/>

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