Thermal Velocity Calculator:
Enter the values of Boltzmann Constant k(J/K) , Temperature T(K) & Mass m(kg) to determine the value of Thermal Velocity Vth(m/s).
Thermal Velocity Formula:
The Thermal Velocity Vth(m/s) in meter per second is equal to the SQRT of the Boltzmann Constant k(J/K) = 1.380649*10-23J/K in joule per kelvin into multiply the Temperature T(K) in kelvin and divided by the Mass m(kg) in kilogram.
The Formula of Thermal Velocity can be writtern as,
Vth(m/s) = √ ( k(J/K) * T(K) / m(kg) )
Here,
Vth(m/s) = Thermal Velocity in meter per second
k(J/K) = Boltzmann Constant in joule per kelvin
T(K) = Temperature in kelvin
m(kg) = Mass in kilogram
Example problems for Thermal Velocity:
1)Calculate the Thermal Velocity and given for Boltzmann Constant = 1.380649*10-23 , Temperature = 300k , Mass = 15kg.
Answer
Vth = √( k * T / m )
Vth = √( 1.380649*10-23 * 300 / 15 )
Vth = 1.6617154e-11m/s.
2)Calculate the Mass and given for Boltzmann Constant = 1.380649*10-23 , Temperature = 300k , Thermal Velocity = 1.6617154e-11m/s.
Answer
Vth = √( k * T / m )
1.6617154 = √( 1.380649*10-23 * 300 / m )
m = 15kg.