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Determination and correlation of solubility data and dissolution thermodynamic data for 2-acrylamido-2-methyl-1-propane-sulfonic acid in seven pure solvents

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The solubility of 2-acrylamido-2-methyl-1-propane sulfonic acid (AMPS) in seven pure solvents, methanol, ethanol, 2-propanol, 1-butanol, isopentanol, acetone, and ethyl acetate, in the temperature range between 283.15 and 328.15 K at atmospheric pressure (101.3 kPa) is reported in this paper. The solubility of 2-acrylamido-2-methyl-1-propane-sulfonic acid increases with temperature in all selected solvents. The van’t Hoff equation, modified Apelblat equation, Wilson model, and λh model were applied to correct the solubility data. The results show that the modified Apelblat equation fits the best, with an average relative deviation of less than 3.70%. The mixing properties, such as Gibbs free energy, enthalpy and entropy of AMPS, were calculated based on the van’t Hoff equation. The dissolution process of AMPS in all solvents selected is endothermic, non-spontaneous and enthalpy-driven.

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\(\% \xi_{H}\) :

Contribution of enthalpy

\(\% \xi_{TS}\) :

Contribution of entropy

\(\Delta H_{d}\) :

Dissolving standard enthalpy

\(\Delta S_{d}\) :

Dissolving standard entropy

\(\Delta G_{d}\) :

Change in Gibbs free energy

\(\Delta H_{fus}\) :

Enthalpy of fusion

\(\Delta S_{fus}\) :

Entropy of fusion

a, b, K, A, B, C, λ, h :

Model parameters


Average relative deviation

i :

Number of experiments

\(m_{i}\) :

Mass of component i

\(M_{i}\) :

Molar mass of component i

N :

Number of experimental points

P :



Partial least square

R :

Universal gas constant

R 2 :

Correlation coefficient

RD :

Relative deviation

T :


T m :

Melting point

T hm :

Mean temperature

u :


\(x_{i}\) :

Molar fraction of component i


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The work described in this paper received support from the National Natural Science Foundation of China (NNSFC) (Grant references: 91434126, 61633006, and 21703126), the Natural Science Foundation of Guangdong Province (Grant reference: 2014A030313228, and 2017A030310262), the Shandong Keypoint Research and Development Plan (2018GSF117006), the Guangdong Provincial Science and Technology Projects under the Scheme of Applied Science and Technology Research Special Funds (Grant reference: 2015B020232007), and the Fundamental Research Funds for the Central Universities (Grant reference: 2017MS092).

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Correspondence to Yan Cheng or Fumin Xue.

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Yu, S., Hao, C., Liu, Y. et al. Determination and correlation of solubility data and dissolution thermodynamic data for 2-acrylamido-2-methyl-1-propane-sulfonic acid in seven pure solvents. Braz. J. Chem. Eng. (2020). https://doi.org/10.1007/s43153-020-00014-0

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  • AMPS
  • Thermodynamic model
  • Gravimetric method
  • Dissolution thermodynamic properties