FormulaCarnot Efficiency (via Temperature) $$ \eta_{\text c} ~=~ 1 ~-~ \frac{ \class{blue}{T_{\text N}} }{ \class{red}{T_{\text H}} } $$
Isobaric, Isochoric, Isothermal and Adiabatic Process on the p-V Diagram CourseLevel 2 (without higher mathematics)Fundamentals of Thermodynamics Learn how temperature, volume, pressure, and other macroscopic state variables of systems (such as a gas) are related.
FormulaVan der Waals Equation (Pressure, Covolume, Cohesion Parameter) $$ \mathit{\Pi} ~=~ \frac{n \, R \, T}{V ~-~ n \, V_{\text b}} ~-~ \frac{n^2 \, a}{V^2} $$
Radiant exitance of the sun FormulaWien's Displacement Law (Temperature, Wavelength) $$ T ~=~ \frac{2897.8 \,\cdot\, 10^{-6} \, \mathrm{m} \mathrm{K}}{ \class{blue}{ \lambda_{\text{max}}} } $$
Buoyant Force (Archimedes' principle) FormulaHydrostatic pressure (density, height) $$ \mathit{\Pi} ~=~ \rho \, g \, h $$
Fermi, Bose and Boltzmann distribution - Graphs FormulaBoltzmann Distribution Function (Probability, Energy, Temperature) $$ P(W) ~=~ \mathrm{e}^{ -\frac{ W - \mu }{ k_{\text B} \, T}} $$
Adiabatic Process in a Temperature-Volume Graph FormulaAdiabatic Index (Temperature, Volume) $$ \class{red}{T_1} ~=~ \class{blue}{T_2} \, \left( \frac{\class{blue}{V_2}}{\class{red}{V_1}} \right)^{\gamma -1} $$
Adiabatic Process in a Temperature-Pressure Graph FormulaAdiabatic Index (Temperature, Pressure) $$ \class{red}{T_1} ~=~ \class{blue}{T_2} \, \left(\frac{\class{blue}{\mathit{\Pi}_2}}{ \class{red}{\mathit{\Pi}_1} }\right)^{ \frac{1}{\gamma}-1 } $$
