# Caloric Properties of Mixture

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

We eliminate u and ui by using u=cv∙T and ui= cvi∙T and obtain: • h: enthalpy of a gas mixture per unit mass h

The total enthalpy of a gas mixture is: Then we get: • cp: the specific heat capacity of a gas mixture at constant pressure

We eliminate h and hi by using h=cp∙T and hi= cpi∙T and obtain: Furhermore we can also calculate the gas constant of mixture R=cp – cv: 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: 