Mole Fractions of Component Gases:

The ratio of partial pressure to net pressure, & volume fraction are equivalent to the mole fraction of the gas.

 Consider

                              ...6.4

Molecular Mass of Mixture

As   m = m₁ + m₂, and m = M_n, m₁ = M₁ n₁, m₂ = M₂ n₂, we obtain

M_n = M₁ n₁ + M₂ n₂

 Therefore

 M = y₁M₁ + y₂ M₂       or         M = ∑i y_i M_i     ...6.5

here M refers the molecular mass of the mixture and n₁ = m₁/M₁, n₂= m₂/M₂, etc. likewise, for the mixture, n = m/M.

Gibbs' Theorem:

Gibbs' Theorem additionally enunciates that the internal energy of a mixture is equivalent to the total of internal energies of the specific components, taken each at the temperature & volume of the mixture. Therefore, we have for the internal energy of the mixture.

m_u = m₁u₁ + m₂u₂        ... 6.6

This can also be illustrate that the enthalpy & specific heat of the mixture can, likewise, be written as following

m_h = m₁h₁ + m₂h₂         ... 6.7

m_c = m₁c₁ + m₂c₂         ... 6.8