Particles Velocity Calculator:
Enter the values of Boltzman Consant k, Temperature T(Kelvin) & mass m to determine the value of Particles Velocity v(m/s).
Particles Velocity Formula:
The Particles Velocity v(m/s) in meter per second is equal to the value of 8 into multiply the Boltzman Consant k = 1.3806*10-23 J/K and again multiply the Temperature T(Kelvin) in Kelvin and divided by the 3.141times into multiply the mass m in atomic mass unit to one-half power.
The Equation of Particles Velocity can be writtern as,
v(m/s) = ( 8 * k * T(Kelvin) / ( 3.141 * m ) )1/2
Here,
v(m/s) = Particles Velocity in meter per second
k = Boltzman Consant = 1.3806*10-23 J/K
T(Kelvin) = Temperature in Kelvin
m = mass in atomic mass unit
Calculation for Particles Velocity:
1)Calculate the Particles Velocity and given for Boltzman Consant = 1.3806*10-23 J/K , Temperature = 297K , mass = 10.0g.
Solution
v = ( 8 * k * T / ( 3.141 * m ) )1/2
v = ( 8 * 1.3806*10-23 * 297 / ( 3.141 * 10.0) )1/2
v = 0.316416e-9m/s.
2)Calculate the Temperature and given for Boltzman Consant = 1.3806*10-23 J/K , Particles Velocity = 0.316416e-9m/s , mass = 10.0g.
Solution
v = ( 8 * k * T / ( 3.141 * m ) )1/2
0.316416e-9 = ( 8 * 1.3806*10-23 * T / ( 3.141 * 10.0) )1/2
T = 297Kelvin.