11.14
브루나우어, 에밋, 텔러(BET)는 1938년에 랭뮤어의 가정을 수정하여 다층 물리적 흡착을 설명하는 이론을 도입했다. 이 이론은 Type II 등온선에 적용할 수 있으며, 흡착 과정을 보다 현실적으로 보여줍니다. BET 이론은 균일한 고체 표면과 국소화된 흡착 부위를…
단일층 흡착의 랑뮤어 이론과 달리, 브루나우어-에밋-텔러 이론(BET 이론)은 국소적이고 상호작용하지 않는 부위가 있는 균질한 고체 표면에서 가스 분자의 다층 흡착을 고려합니다.
여기서 각 후속 층은 그 아래 층에서 오는 반데르발스 힘에 의해 유지됩니다. 각 새로운 층은 이전 층이 이미 표면을 덮은 후에만 형성될 수 있습니다.
첫 번째 층의 흡착 에너지는 일정하다고 가정하며, 이후 층의 에너지는 기체가 액체로 응축될 때 방출되는 에너지인 기체 액화 에너지와 같습니다.
추가 층이 형성되어 압력이 상승할수록 흡착량이 증가합니다.
BET 방정식은 흡착된 가스 부피와 압력 간의 관계를 정량화합니다.
BET 플롯은 직선입니다. 단일층 흡착 부피와 BET 상수 c를 추정하는 데 도움을 줍니다. 이 값들은 단층을 형성하는 데 필요한 분자 수와 샘플의 단위 질량당 표면적을 구하는 데 사용됩니다.
이 그래프는 포화 압력의 3분의 1 이하 압력에서 정확하며, 더 높은 압력에서는 편차가 발생합니다.
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Q1: How does BET theory differ from Langmuir theory in explaining gas adsorption?
BET theory extends beyond Langmuir's monolayer assumption to account for multilayer adsorption on homogeneous solid surfaces. While Langmuir assumes only a single layer of gas molecules can adsorb, BET allows subsequent layers to form on top of previous ones, held by van der Waals forces. This makes BET more applicable to Type II isotherms and provides a more realistic picture of actual adsorption processes.
Q2: What role do van der Waals forces play in BET multilayer adsorption?
Van der Waals forces are weak attractive forces that hold each adsorbed layer to the layer beneath it in BET multilayer adsorption. Each new layer can only form after the previous layer has covered the surface, with successive layers bonded through these intermolecular attractions. This layering mechanism allows gas molecules to accumulate beyond the first monolayer.
Q3: Why does the adsorption energy differ between the first layer and subsequent layers in BET theory?
In BET theory, the first layer experiences a constant, higher adsorption energy due to direct interaction with the solid surface. Subsequent layers have adsorption energy equal to the energy of gas liquefaction, the energy released when gas condenses into liquid. This distinction reflects that molecules in upper layers interact primarily with other adsorbate molecules rather than the substrate.
Q4: What information can be obtained from a BET plot?
A BET plot is a straight line generated by plotting relative adsorption pressure against the BET function. The slope and intercepts of this linear regression line yield the monolayer adsorption volume and the BET constant c. From these values, researchers can calculate the number of molecules forming a monolayer and determine the surface area per unit mass of the solid sample.
Q5: What are the pressure limitations of BET theory accuracy?
BET theory is most accurate for pressures up to one-third of the saturation pressure. At higher pressures, significant deviations occur because the assumptions of uniform adsorption layers and distinct monolayer formation no longer hold true. Additionally, the assumption of equal adsorption energy for all layers beyond the first may not accurately reflect real adsorption behavior at elevated pressures.
Q6: How does the isosteric heat of adsorption change with increasing surface coverage in BET theory?
The isosteric heat of adsorption decreases significantly as surface coverage increases. This occurs because energetically favorable binding sites are filled first, and repulsions between adsorbed molecules increase as more molecules occupy the surface. This behavior reflects the heterogeneous nature of adsorption sites and molecular interactions on the solid surface.
Q7: Why does the amount of adsorption increase with rising pressure in BET multilayer adsorption?
As pressure increases, additional layers of gas molecules can form on the solid surface beyond the initial monolayer. Each new layer requires the previous layer to be substantially covered before formation begins. The cumulative effect of multiple layers forming at higher pressures results in greater total gas adsorption, making pressure a key variable in multilayer adsorption processes.