Formula Units
Quality

    \[x=\frac{m_{vapor}}{m_{total}}(vapour\ mass\ fraction)\]

    \[1-x=\frac{m_{liquid}}{m_{total}}(liquid\ mass\ fraction)\]

Specific Volume

    \[v=v_f+xv_{fg}\]

    \[m^3/kg\]

Specific Internal Energy

    \[u=u_f+xu_{fg}\]

Specific Enthalpy

    \[h=h_f+xh_{fg}\]

Specific Heat Ratio

    \[K=\frac{C_p}{C_v}\]

Ideal-Gas Law

    \[P<<P_c\]

    \[T<<T_c\]

    \[z=1\]

  • Equations

    \[Pv=RT\]

    \[Pv=mRT=n\bar{R}T\]

  • Gas Constant

    \[R=\frac{R}{M}\]

    \[M=molecule\ mass\]

    \[kJ/kg K\]

Compressibility Factor Z

    \[Pv=ZRT\]

    \[Z=f\rac{P\bar{v}}{\bar{R}T}\]

Reduced Properties

    \[P_R=\frac{P}{P_c}\]

    \[T_R=\frac{T}{T_c}\]

Pseudo-Specific Volume

    \[v'_R=\frac{vP_c}{RT_c}\]

Constants Units
Universal Gas Constant

    \[\bar{R}=8.314\]

    \[kJ/kmol\times K\]

Molecular Weight of Air

    \[M_{air}=28.97\]

    \[Kg/kmol\]

Critical Temperature for Air

    \[T_c=133\]

    \[K\]

Critical Pressure for Air

    \[P_c=37.7\]

    \[bar\]