Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

@wikipedia


Amount of heat required to change the temperature of one unit of amount of matter under a constant pressure by one unit of temperature:

LaTeX Math Block
alignmentleft
 c_P = \frac{C_P}{\nu}= \frac{1}{\nu} \cdot \left( \frac{\delta Q}{\delta T} \right)_p
SymbolDimensionSI unitsOil metric unitsOil field units

LaTeX Math Inline
bodyc_P

M L2 T−2 Θ−1J/(molK)J/(molK)

 BTU/(mol°R)


It is a material property and properly tabulated for the vast majority of materials.


The Isobaric molar heat capacity is related to Isobaric specific heat capacity 

LaTeX Math Inline
body--uriencoded--c_%7BPm%7D
 and Volumetric Heat Capacity 
LaTeX Math Inline
body--uriencoded--c_%7BPv%7D
as:

LaTeX Math Block
anchor1
alignmentleft
c_P = M \cdot c_{Pm}
LaTeX Math Block
anchor1
alignmentleft
c_P = V_m \cdot c_{Pv}

where

LaTeX Math Inline
body M

molar mass of the substance 

LaTeX Math Inline
bodyV_m

molar volume of the substance 


The Isobaric molar heat capacity of the mixture in thermodynamic equilibrium follows the simple mixing rule:

LaTeX Math Block
anchor9FB56
alignmentleft
c_P = \sum_i \, x_i \, c_{P \, i}

where

LaTeX Math Inline
bodyx_i

mole fraction of the 

LaTeX Math Inline
bodyi
-th mixture component, subjected to
LaTeX Math Inline
body\sum_i x_i= 1

LaTeX Math Inline
body--uriencoded--c_%7BP\, i%7D

molar heat capacity of the 

LaTeX Math Inline
bodyi
-th mixture component

See also


Physics / Thermodynamics / Thermodynamic process Heat Transfer / Heat Capacity / Molar Heat Capacity

Isochoric molar heat capacity (cV) ]

Basic Petroleum Rock and Fluid Properties Handbook ]