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Formula Units
Quality

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

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

    \[R=\frac{R}{M}\]

    \[M=\text{molecule mass}\]

    \[kJ/kg K\]
Compressibility Factor Z

    \[Pv=ZRT\]

    \[Z=\frac{P\bar{v}}{\bar{R}T}\]
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

    \[P_c=37.7\]

    \[bar\]

License

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Thermodynamics Copyright © by Diana Bairaktarova (Adapted from Engineering Thermodynamics - A Graphical Approach by Israel Urieli and Licensed CC BY NC-SA 3.0) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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