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@wikipedia


Amount of heat required to change the temperature of one unit of mole by one unit of temperature:

(1) c = \frac{C}{\nu} = \frac{1}{\nu} \cdot \frac{\delta Q}{\delta T}

where

\nu

amount of chemical substance 

C

heat capacity of the material
SymbolDimensionSI unitsOil metric unitsOil field units

c

M L2 T−2 Θ−1J/(molK)J/(molK)

 BTU/(mol°R)


Molar Heat Capacity is related to Specific Heat Capacity  c_m and Volumetric Heat Capacity  c_v as:

(2) c = M \cdot c_m
(3) c = V_m \cdot c_v

where

M

molar mass of the substance 

V_m

molar volume of the substance 



Molar Heat Capacity depends on the way the heat is transferred and as such is not a material property.

The two major heat transfer processes are isobaric and isohoric which define:


Based on Mayer's relation the Isobaric molar heat capacity is always greater than  Isochoric molar heat capacity:

(4) c_P \geq c_V


The Molar Heat Capacity of the mixture in thermodynamic equilibrium follows the simple mixing rule:

(5) c = \sum_i \, x_i \, c_i

where

x_i

mole fraction of the  i-th mixture component, subjected to \sum_i x_i= 1

c_i

molar heat capacity of the  i-th mixture component


See also


Physics / Thermodynamics / Thermodynamic processHeat Transfer / Heat Capacity

[ Heat ]Mayer's relation ]





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