Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Internal Energy of an Ideal Gas Using Particle Number

The internal energy of a system is the energy contained within the system, excluding the kinetic energy of motion of the system as a whole and the potential energy of the system as a whole due to external force fields. An ideal gas is a theoretical gas composed of many randomly moving point particles whose only interactions are perfectly elastic collisions.

Internal energy of an ideal gas equals the product of the Boltzmann constant, particle number, temperature and the dimensionless specific heat capacity at constant volume (approximately 3/2 for a monatomic gas, 5/2 for diatomic gas and 7/2 for more complex molecules).

Formula

QuantityVariable["U", "Energy"] == Quantity[1, "BoltzmannConstant"]*QuantityVariable["N", "Unitless"]*QuantityVariable["T", "Temperature"]*QuantityVariable["γ", "Unitless"]

symbol description physical quantity
U internal energy "Energy"
N particle number "Unitless"
T temperature "Temperature"
γ particle structure "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Internal Energy of an Ideal Gas Using Particle \ Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Internal Energy of an Ideal Gas Using Particle Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Internal Energy of an Ideal Gas Using Particle Number"], \ {QuantityVariable["T","Temperature"] -> Quantity[273.15`, "Kelvins"], QuantityVariable["\[Gamma]","Unitless"] -> None}]
Out[3]=

Publisher Information