Wolfram Computation Meets Knowledge

Heat Capacity of an Ideal Gas by Number of Particles

Heat capacity, or thermal capacity, of an ideal gas is a measurable physical quantity equal to the ratio of the heat added (or removed) to the resulting temperature change. An ideal gas is a theoretical gas composed of many randomly moving point particles whose only interaction is perfectly elastic collision.

The isobaric heat capacity of an ideal gas equals the product of a Boltzmann constant, the number of particles and the specific heat capacity. The isochoric heat capacity equals the isobaric heat capacity plus the Boltzmann constant times the number of particles.


{QuantityVariable[Subscript["C", "p"], "HeatCapacity"] == Quantity[1, "BoltzmannConstant"]*QuantityVariable["N", "Unitless"]*QuantityVariable["γ", "Unitless"], QuantityVariable[Subscript["C", "V"], "HeatCapacity"] == Quantity[1, "BoltzmannConstant"]*QuantityVariable["N", "Unitless"] + QuantityVariable[Subscript["C", "p"], "HeatCapacity"]}

symbol description physical quantity
Cp isobaric heat capacity "HeatCapacity"
N particle number "Unitless"
γ specific heat capacity "Unitless"
CV isochoric heat capacity "HeatCapacity"



Publisher Information