Journal of the Korea Academia-Industrial cooperation Society (한국산학기술학회논문지)

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Comparative Study on the Estimation of CO2 absorption Equilibrium in Methanol using PC-SAFT equation of state and Two-model approach.

메탄올의 이산화탄소 흡수평형 추산에 대한 PC-SAFT모델식과 Two-model approach 모델식의 비교연구

  • Noh, Jaehyun (Department of Chemical Engineering, Kong Ju National University) ;
  • Park, Hoey Kyung (Department of Chemical Engineering, Kong Ju National University) ;
  • Kim, Dongsun (Department of Chemical Engineering, Kong Ju National University) ;
  • Cho, Jungho (Department of Chemical Engineering, Kong Ju National University)
  • Received : 2017.07.28
  • Accepted : 2017.10.13
  • Published : 2017.10.31
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Abstract

The thermodynamic models, PC-SAFT (Perturbed-Chain Statistical Associated Fluid Theory) state equation and the Two-model approach liquid activity coefficient model NRTL (Non Random Two Liquid) + Henry + Peng-Robinson, for modeling the Rectisol process using methanol aqueous solution as the $CO_2$ removal solvent were compared. In addition, to determine the new binary interaction parameters of the PC-SAFT state equations and the Henry's constant of the two-model approach, absorption equilibrium experiments between carbon dioxide and methanol at 273.25K and 262.35K were carried out and regression analysis was performed. The accuracy of the newly determined parameters was verified through the regression results of the experimental data. These model equations and validated parameters were used to model the carbon dioxide removal process. In the case of using the two-model approach, the methanol solvent flow rate required to remove 99.00% of $CO_2$ was estimated to be approximately 43.72% higher, the cooling water consumption in the distillation tower was 39.22% higher, and the steam consumption was 43.09% higher than that using PC-SAFT EOS. In conclusion, the Rectisol process operating under high pressure was designed to be larger than that using the PC-SAFT state equation when modeled using the liquid activity coefficient model equation with Henry's relation. For this reason, if the quantity of low-solubility gas components dissolved in a liquid at a constant temperature is proportional to the partial pressure of the gas phase, the carbon dioxide with high solubility in methanol does not predict the absorption characteristics between methanol and carbon dioxide.

본 연구에서는 $CO_2$ 제거 용매로써 메탄올 수용액을 사용하는 $Rectisol^{(R)}$공정을 모델링하기 위한 열역학 모델식으로는 PC-SAFT(Perturebed-Chain Statistical Associating Fluid Theory) 상태방정식과 액체활동도계수 모델식을 기본으로 조합된 Two-model approach식{NRTL(Non Random Two Liquid) + Henry + Peng-Robinson}을 비교하였다. 또한 PC-SAFT 상태방정식의 이성분계 상호작용 매개변수와 Two-model approach식의 Henry 상수를 새롭게 결정하기 위해서 273.25K과 262.35K에서 $CO_2$와 메탄올 간의 흡수평형실험을 수행하고 회귀분석을 하였다. 그리고 새롭게 결정한 매개변수의 정확성은 실험 데이터의 추산결과를 통해 검증하였다. 이러한 모델식과 검증한 매개변수를 사용하여 $CO_2$ 제거공정을 모델링 하였다. 그 결과 Two-model approach식을 사용한 경우가 PC-SAFT EOS을 사용한 경우에 비해 $CO_2$ 99.00% 제거하기 위해 요구되는 메탄올 용매 유량이 약 43.72% 더 높게 추산되었으며, 증류탑에서의 냉각수 소모량은 39.22%정도, 스팀소모량은 43.09%정도 더 소요됨을 알 수 있었다. 결론적으로 고압에서 운전되는 $Rectisol^{(R)}$ 공정을 Henry관계식의 도움을 받는 액체활동도계수 모델식을 사용하여 모델링을 하는 경우 PC-SAFT 상태방정식을 사용한 경우에 비해서 크게 설계된 다는 것을 알 수 있었다. 이러한 이유는 액상에 대한 용해도가 낮은 가스성분이 일정한 온도에서 액상에 녹아드는 양은 기상의 분압에 비례하여 증가하는 것으로 계산되는 Henry 관계식의 특성 때문에 메탄올에 대해 용해도가 큰 $CO_2$의 경우 메탄올과 $CO_2$간의 흡수특성을 잘 예측하지 못하는 것을 알 수 있었다.

Keywords

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