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The molar gas constant (also known as the gas constant, universal gas constant, or ideal gas constant) is denoted by the symbol R or R. It is the molar equivalent to the Boltzmann constant , expressed in units of energy per temperature increment per amount of substance , rather than energy per temperature increment per particle .
Table of specific heat capacities at 25 °C (298 K) unless otherwise noted. [citation needed] Notable minima and maxima are shown in maroon. Substance Phase Isobaric mass heat capacity c P J⋅g −1 ⋅K −1 Molar heat capacity, C P,m and C V,m J⋅mol −1 ⋅K −1 Isobaric volumetric heat capacity C P,v J⋅cm −3 ⋅K −1 Isochoric ...
In statistical thermodynamics, the UNIFAC method (UNIQUAC Functional-group Activity Coefficients) [1] is a semi-empirical system for the prediction of non-electrolyte activity in non-ideal mixtures. UNIFAC uses the functional groups present on the molecules that make up the liquid mixture to calculate activity coefficients .
For example, the atomic mass constant is exactly known when expressed using the dalton (its value is exactly 1 Da), but the kilogram is not exactly known when using these units, the opposite of when expressing the same quantities using the kilogram.
The van der Waals equation of state may be written as (+) =where is the absolute temperature, is the pressure, is the molar volume and is the universal gas constant.Note that = /, where is the volume, and = /, where is the number of moles, is the number of particles, and is the Avogadro constant.
Mayer's relation allows us to deduce the value of C V from the more easily measured (and more commonly tabulated) value of C P: =. This relation may be used to show the heat capacities may be expressed in terms of the heat capacity ratio ( γ ) and the gas constant ( R ): C P = γ n R γ − 1 and C V = n R γ − 1 , {\displaystyle C_{P ...
The value obtained this way is said to be the molar heat capacity at constant volume (or isochoric) and denoted c V,m, c v,m, c v,m, etc. The value of c V,m is always less than the value of c P,m. This difference is particularly notable in gases where values under constant pressure are typically 30% to 66.7% greater than those at constant ...
C is the heat capacity of a body made of the material in question (J/K) n is the amount of substance in the body ; R is the gas constant (J⋅K −1 ⋅mol −1) N is the number of molecules in the body. (dimensionless) k B is the Boltzmann constant (J⋅K −1) Again, SI units shown for example.