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Important Thermodynamic Equations and Formulas

Part of the Thermodynamics For Dummies Cheat Sheet

Thermodynamics is filled with equations and formulas. Here’s a list of the most important ones you need to do the calculations necessary for solving thermodynamics problems.

  • Combustion equations:

    • Air-fuel ratio:

      image0.png
    • Hydrocarbon fuel combustion reaction:

      image1.png
  • Compressibility calculations:

    • Compressibility factor Z: Pv = ZRT

    • Reduced temperature:

      image2.png
    • Reduced pressure:

      image3.png
    • Pseudo-reduced specific volume:

      image4.png
  • Efficiency equations:

    • Thermal efficiency:

      image5.png image6.png
    • Coefficient of performance (refrigerator):

      image7.png
    • Coefficient of performance (heat pump):

      image8.png
  • Energy equations:

    image9.png image10.png image11.png
  • Entropy equations:

    • Entropy change for ideal gas, constant specific heat:

      image12.png image13.png
    • Entropy change for ideal gas, variable specific heat:

      image14.png
    • Irreversibility for a process:

      image15.png
  • Ideal-gas formulas:

    • Ideal-gas law: Pv = RT

    • Gas constant:

      image16.png
    • Ratio of specific heats:

      image17.png
    • Isentropic process for ideal gas:

      image18.png
  • Moist air properties:

    • Relative humidity:

      image19.png
    • Specific humidity:

      image20.png
  • Properties of mixtures:

    • Quality liquid-vapor mixture:

      image21.png
    • Saturated mixture property, y: y = yf + x · yfg

  • Work calculations:

    • Isobaric process: Wb = P0(V2 – V1)

    • Polytropic process:

      image22.png
    • Isothermal process of an ideal gas:

      image23.png
    • Shaft power:

      image24.png
    • Spring work:

      image25.png
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Thermodynamics For Dummies Cheat Sheet

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