Density and molar concentration

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SUMMARY

The discussion centers on the differences between two equations for calculating molar concentration and density from different textbooks. J.P. Holman's equation, CA = ρA = PA x MA / RoT, applies to ideal gases, where ρA represents mass density. In contrast, Stanley Middleman's equation, Ci = ρi/Mi, is relevant for liquids or gases, where ρi denotes mass density and Ci is the molar density of the species. Both equations serve distinct contexts in thermodynamics and mass transfer.

PREREQUISITES
  • Understanding of ideal gas laws and equations
  • Familiarity with mass transfer principles
  • Knowledge of density and molar concentration concepts
  • Basic thermodynamics principles
NEXT STEPS
  • Research the application of Fick's law in mass transfer
  • Study the ideal gas law and its implications in thermodynamics
  • Explore the differences between mass density and molar density
  • Investigate the context of using Holman's and Middleman's equations in practical scenarios
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Students and professionals in chemical engineering, thermodynamics, and mass transfer, particularly those involved in heat transfer and fluid dynamics.

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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