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Essentials of Chemical Reaction Engineering, 2nd Edition by H. Scott Fogler

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C Thermodynamic Relationships Involving the Equilibrium Constant1

For the gas-phase reaction

A+baBca+daD(2-2)

1. The true (dimensionless) equilibrium constant

RTlnk=ΔG

K=aCc\aaDd/aaAaBb/a

where ai is the activity of species i

ai=fifi

where fi = fugacity of species i

fi = fugacity of species i at the standard state. For gases, the standard state is 1 bar, which is in the noise level of 1 atm, so we will use atm.

ai=fifi=γiPi

where γi is the activity coefficient

K = True equilibrium constantKy = Activity equilibrium constantKp = Pressure equilibrium constantKc = Concentration equilibrium constant

Images

Kγ has units of [atm](d/a+c/aba1)=[atm ...

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