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Solubility of ammonia in aqueous solutions of phosphoric acid: Model development and application

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Abstract

A model to describe vapor-liquid equilibrium (VLE) and solid-liquid equilibrium (SLE) in the ammonia-phosphoric acid-water system is developed. The model takes into account chemical reactions as well as physical interactions. Using interaction parameters and solubility contants as determined from experimental data on VLE and SLE, the model is capable of describing the phase behavior in this extremely complex system over a wide range of composition.

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Abbreviations

ai :

activity of component i

B i,j :

second virial coefficient for interactions between species i and j

D :

relative dielectric constant of water

e :

charge of proton

HNH (m)3,w :

Henry's constant for solubility of ammonia in water (molality scale)

I :

ionic strength on molality scale

K R :

equilibrium constant for chemical reaction R

k :

Boltzmann constant

M w :

molar mass of water (kg-mol−1)

m i :

overall molality of component i

m i :

true molality of component i

N A :

Avogadro's number

n i :

overall number of moles of component

n i :

true number of moles of component i

p :

total pressure

p i :

partial pressure of component i

R :

universal gas constant

T :

temperature K

v :

partial molar volume

y :

mole fraction in vapor

z i :

number of charges of component i

ɛ0 :

vacuum permittivity

ɛij :

number of atomic species i in component j

ϕ:

fugacity coefficient

γ:

activity coefficient

ρ:

mass density

τ:

ternary interaction parameter in Pitzer's equation

i, j, k:

components i, j, k

R:

reaction R

w:

water

(P):

phase P

s:

saturation

*:

normalized to infinite dilution

∞:

infinite dilution

′:

solid phase

′':

liquid phase

′'':

gas phase

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Authors and Affiliations

  1. Lehrstuhl für Technische Thermodynamik, Universität Kaiserslautern, D-67653, Kaiserslautern, Federal Republic of Germany

    Bernd Rumpf & Gerd Maurer

Authors
  1. Bernd Rumpf
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  2. Gerd Maurer
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Additional information

Dedicated to Prof. Dr.-Ing. G. Ernst on the occasion of his 60th birthday.

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Rumpf, B., Maurer, G. Solubility of ammonia in aqueous solutions of phosphoric acid: Model development and application. J Solution Chem 23, 37–51 (1994). https://doi.org/10.1007/BF00972606

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  • DOI: https://doi.org/10.1007/BF00972606

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