download the script: Caloric Properties of Mixture

Consider a gas mixture which consists of i components the following caloric properties of mixture can be obtained. Here we still assume that all gases are considered to be ideal gases and follow the ideal gas equation:

• u: internal energy of a gas mixture per unit mass m

The total internal energy of a gas mixture is:

Then we get:

• c_v: the specific heat capacity of a gas mixture at constant volume

We eliminate u and u_i by using u=c_v∙T and u_i= c_vi∙T and obtain:

• h: enthalpy of a gas mixture per unit mass h

The total enthalpy of a gas mixture is:

Then we get:

• c_p: the specific heat capacity of a gas mixture at constant pressure

We eliminate h and h_i by using h=c_p∙T and h_i= c_pi∙T and obtain:

Furhermore we can also calculate the gas constant of mixture R=c_p – c_v:

In lots of case of chemical thermodynamics, the caloric properties will be given in J/mol and J/(mol∙K). Then we can get the following equations through the same derivation:

where: