Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Gas Particles' Velocity

The thermal velocity or thermal speed is a typical velocity of the thermal motion of particles that make up a gas.

The root mean square velocity is proportional to the square root of the Boltzmann constant times the temperature divided by the mass.

Formula

QuantityVariable[Subscript["v", "rms"], "Speed"] == Sqrt[3]*Sqrt[(Quantity[1, "BoltzmannConstant"]*QuantityVariable["T", "Temperature"])/QuantityVariable["m", "Mass"]]

symbol description physical quantity
vrms root mean square velocity "Speed"
m mass "Mass"
T temperature "Temperature"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Gas Particles' Velocity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Gas Particles' Velocity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Gas Particles' Velocity"], {QuantityVariable["m","Mass"] -> Quantity[1.`*^-26, "Kilograms"], QuantityVariable[ \!\(\*SubscriptBox[\("v"\), \("rms"\)]\),"Speed"] -> Quantity[100, ("Meters")/("Seconds")]}]
Out[3]=

Publisher Information