Density and molar concentration

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The discussion centers on the differing equations for concentration and density from two textbooks. The Holman equation relates mass density to partial pressure in ideal gases, while the Middleman equation defines molar concentration in terms of mass density. The Holman equation is appropriate for gases, whereas the Middleman equation applies to both liquids and gases. Clarification is sought on which equation is correct for specific applications. Understanding the context of each equation is crucial for accurate application in heat and mass transfer analyses.
mech-eng
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Hi,all.
a book(j.p holman,heat transfer 7e,chapter 11) gives
C (subindex)A = (ro) subindex A= P subindex A x M subindex A / Ro(universal) T

but another book(stanley middleman,an introduction to mass and heat transfer) gives
Ci=(ro)i/Mi. these are very different from each other.Ci is total molar concentration of
that species and ro is density that is mass concentration to be used in Fick's law.which one is true?
 
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mech-eng said:
Hi,all.
a book(j.p holman,heat transfer 7e,chapter 11) gives
C (subindex)A = (ro) subindex A= P subindex A x M subindex A / Ro(universal) T

but another book(stanley middleman,an introduction to mass and heat transfer) gives
Ci=(ro)i/Mi. these are very different from each other.Ci is total molar concentration of
that species and ro is density that is mass concentration to be used in Fick's law.which one is true?

The holman equation is for the mass density CA of a species in an ideal gas if the species partial pressure is PA. So ρoA is the mass density.

In the middleman equation, ρi is the mass density of species i in a liquid or a gas, and Ci is the molar density of the species.
 
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