| Temperature Conversion | T(°C) = 5/9 [ T(°F) ? 32°F] T(°F) = 9/5 T(°C) + 32°F T(K) = T(°C) + 273.15 K | T = temperature |
| Boyle?s Law for a gas | | T = constant P = pressure V = volume |
| Charles? Law for a gas | | P = constant |
| Ideal Gas Law | | N = number of molecules Nmol = number of moles k = 1.38066 x 10-23 J/K Boltzmann?s constant R = kNA = 8.3145 J/(mol K) ideal gas constant |
| Translational kinetic energy K per gas molecule | | |
| Root mean square speed of a gas molecule | | m = molecular mass |
| Internal energy U of a monatomic ideal gas | | |
| First Law of Thermodynamics | | Q = heat added to system W = work done by system |
| Work done by an ideal gas | | |
| Specific heat c for a given process | | M = Nm = total mass |
| Specific heat cV of a monatomic ideal gas at constant volume | | |
| Specific heat cP of a monatomic ideal gas at constant pressure | | |
| Ratio of specific heats ? | | |
| Relation between cP and cV for an ideal gas | | |
| Adiabatic gas law | | ?Q = 0 |
| Work done by a monatomic ideal gas in an adiabatic process | | |
| Latent heat of fusion | | where QL and QS are measured at the freezing point |
| Latent heat of vaporization | | where QV and QL are measured at the boiling point |
| Linear expansion | | where ? is the coefficient of linear thermal expansion |
| Volume expansion | | where ? is the coefficient of volume expansion |
| Heat Capacity C | | |
| Heat transfer H along a rod | | k = thermal conductivity A = cross-sectional area ? = rod length |
| Thermal resistance R and R-factor Rf | | |
| Wien?s displacement law | ?max T = 2.898 x 10-3 K m | |
| Power radiated | | L = luminosity ? = 5.67 x 10-8 W/m2 K4 Stefan-Boltzmann constant ? = emissivity |
| Efficiency e of a heat engine | | |
| Efficiency of a reversible heat engine (Carnot cycle) | | TC = cold temperature TH = hot temperature |
| Entropy change ?S | | |
| Ratio relation for a reversible engine | | |