Particles Velocity Calculator, Formula, Particles Calculation

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.

Derivation of Particle Velocity and Particle Acceleration in a Wave: