High Purity/Recovery Separation of Propylene from Propyne Using Anion Pillared Metal-Organic Framework: Application of Vacuum Swing Adsorption (VSA)

: Propylene is one of the world’s most important basic olefin raw material used in the production of a vast array of polymers and other chemicals. The need for high purity for for same temperatures and · g − , respectively. Experimental results were obtained for the two gases fitted using Langmuir and Toth models. The former had a varied of the a better presentation of the of the propylene compared to the propyne system. The Toth model · for of C / lighter propyne. 97.4% and 98.5% at 100 s blowdown time. Energy and power consumption varied between 63–70 kWh/ton at the range of purge and blowdown time used. The VSA offers a trade-off and cost-effective technology for the recovery and separation of olefins and paraffin at low pressure and high purity. hysteresis effect at a P/P


Introduction
The vast increase and addiction to energy and plastics are expected to rise in the future. Light hydrocarbons (C 2 -C 4 ) are the most demanded materials for polymer industries around the globe [1]. In specific, C 3 H 6 is the second most important and used hydrocarbon in the world after ethylene. It is an intermediate material for a vast array of products such as polyvinyl chloride, polypropylene and most importantly, polyethylene [2]. and C 3 H 6 (4.6 Å) the 0.4 Å small difference in the kinetic diameter can result in a very energy-intensive separation process as suggested by Li et al. [22]. The separation of propylene from propyne requires a material with specific molecular sieving ability an affinity towards propyne over propylene with a high adsorption capacity at ultralow pressures. Such materials are not well available or documented in the literature. Anion pillared HUMs are typically three-dimensional coordinated networks of anions such as Ni, Cu or Zn that are well connected to two-dimensional networks of metal nods. SiF 6 2− (SIFSIX), NboF 5 2 and ALF 5 2− are examples of anion pillar materials that form bridges with organic linkers in the MOF structure and are reported to have potential application in gas separations such as C 3 H 6 /C 3 H 8 and other lower alkene/alkane separations. The development of a new class of materials to achieve this particular energy-intensive separation is required.
MOFs distinguish themselves from other porous materials by their modular setup and framework flexibility which offers a strong π-complexations between these metal sites and the olefin molecules which can be advantages in e.g., fixed-bed adsorption applications. Because of the high purity of the olefins needed for polymerization, the desirable high recovery rates and the accompanying energy, time and capital consuming multi-bed/-step separation/purification are required. Two basic steps are required in commercial adsorption: preferential adsorption and regeneration which can be achieved via cyclic adsorption processes such as pressure (PSA) [3,[47][48][49][50], vacuum (VSA) [51][52][53][54][55][56] and temperature (TSA) [57]. SA as a stand-alone or hybrid combination has been investigated in different studies [32,51,55,[58][59][60]. In PSA at least four to five beds in 4-6 steps are reported. It can be seen that the applicability and development of effective materials are tightly related to the separation system design, its configuration, and energy requirements. Fixed bed adsorbed configuration are most studies given their simplicity, ease of design and versatile ability to screen a large number of new sorbents compared to fluidized beds. In a typical pressure (vacuum) swing operation pressurization, adsorption, blowdown and purge are the basic benchmark cyclic operation. The rinse stage is also added to ensure a high purity product [61]. Changes to the operational parameters can greatly dictate the purity and recovery of the product.
Using metal-organic frameworks for the specific separation of propyne/propylene is still at the early stages with few reported studies in literature and the studies of propyne/propylene separation on metal-organic frameworks are lacking [22]. No reports have been published on the use of SiFSIX-3-Ni MOF for the separation of propyne/propylene using PSA/VSA or TSA applications. Such studies are essential to assess the performance of the benchmark MOF materials in realistic industrial application settings. The aim is to bridge the gap between material design and real-world engineering applications. In addition, as earlier reports [12] indicate that C 3 H 4 and C 3 H 6 are strongly absorbed within the MOF structure, VSA application has the advantage of the recovery of such strongly bond gas under sub-atmospheric conditions. Accordingly, in this investigation, the experimental work related to the separation of propyne from propylene mixture is investigated. Firstly, the synthesized MOF is characterized by morphology and pore structure. In addition, single gas adsorption uptake behaviour on the adsorbent was established under various temperatures (300-360 K) and a variety of pressures (10-100 kPa) using Rubotherm manganic balance. Isotherms were fitted to two main isotherms (Langmuir and Toth models). The investigation also considered the kinetic breakthrough for 30:70% (v/v) C 3 H 4 /C 3 H 6 gas mixtures in a single fixed-bed column set up. Once the base equilibrium and dynamic behaviour of the single and multi-gas mixtures were established, the VSA system consisting of 6 steps (adsorption, depressurization, rinsing, blowdown, purge and pressurization) was tested. Effect of different operation times of purge and blowdown stages were tested with respect to the product (propylene) purity, recovery and productivity. The energy requirements were established to assess the trade-off conditions required to best operate the system for optimal recovery and separation of propylene.

Materials and Methods
All used reagents and chemicals were of analytical grade purity mostly supplied by Sigma-Aldrich. Single pure gases were supplied by Buzwair Inc. Qatar supplied from with 99.99% purity. Synthesis of SIFSIX-3-Ni (Ni(pyrazine)2SiF6)n -SIFSIX-3-N: SIFSIX-3-Ni is one of the hybrid ultra-microporous class of MOFs reported recently and they combine ultramicropores (<0.7 nm). It is mainly formed from transition metals linked by organic ligands and inorganic anions [62].
(size D1:5.03, D2:3.75, D3:4.6 Å 3 ), is pyrazine-based metal-organic frameworks and was prepare following the method described in earlier work [63,64]. In short 3 mol of Ni(NO 3 ) 2 , 6 mmol pyr., 3 mmol of (NH 4 )2SiF 6 2− were dissolved in 4 mL of deionized water and stirred for 2 days. The slurry was then filtered under a vacuum then submerged in methanol for 24 h. The samples were then dried in a convection oven at 150 • C overnight. The resultant blue powder was then degassed to activate the sorbent ahead of experimental work. An illustration showing the linkers and pyrazine is shown in Figure 1.

Materials and Methods
All used reagents and chemicals were of analytical grade purity mostly supplied by Sigma-Aldrich. Single pure gases were supplied by Buzwair Inc. Qatar supplied from with 99.99% purity. Synthesis of SIFSIX-3-Ni (Ni(pyrazine)2SiF6)n -SIFSIX-3-N: SIFSIX-3-Ni is one of the hybrid ultramicroporous class of MOFs reported recently and they combine ultramicropores (<0.7 nm). It is mainly formed from transition metals linked by organic ligands and inorganic anions [62].
(size D1:5.03, D2:3.75, D3:4.6 Å 3 ), is pyrazine-based metal-organic frameworks and was prepare following the method described in earlier work [63,64]. In short 3 mol of Ni(NO3)2, 6 mmol pyr., 3 mmol of (NH4)2SiF6 2− were dissolved in 4 mL of deionized water and stirred for 2 days. The slurry was then filtered under a vacuum then submerged in methanol for 24 h. The samples were then dried in a convection oven at 150 °C overnight. The resultant blue powder was then degassed to activate the sorbent ahead of experimental work. An illustration showing the linkers and pyrazine is shown in Figure 1. Morphology and microporosity: Brunauer-Emmett-Teller (BET) analysis were conducted using liquid nitrogen. After 3 h of degassing, the adsorption and desorption under vacuum conditions were conducted at 150 °C. The BET surface area was established and was found to be around 368 (m 2 ·g −1 ). Pore size and pore volumes were 0.36(nm) and 0.167 (cm 3 ·g −1 ), respectively. Full experimental details are described in detail in Khraisheh et al. [63].
Powder X-Ray diffraction patterns were collected using Panalytical Empyrean diffractometer. Continues scanning mode was used (Cu Kα = 1.54 Ǻ) with an operating power of 40 Kv and fixed divergence slit of 0.76 mm. Thermogravimetric analysis (TGA) were conducted under N2 gas. Fourier-transform infrared spectroscopy (FTIR) (using Bruker Vertex 80) for the adsorbents was conducted in the range of 4000-400 cm −1 . The SEM analyses were conducted following standard protocols and discussed in detail in Khraisheh et al. [63].
Single pure gas adsorption uptake experiments were conducted using Rubotherm Prazisionsmesstechnik (GmbH, Bochum, Germany). The system was equipped with a magnetic suspension balance (MSB) and integrated gas dosing system (GDS). Adsorption and desorption were facilitated by an automated Teledyne pump (Isco 260D) allowing pressurization and depressurization up to a max 35 MPa. An illustration of the system and its components are shown in Figure S1. The change in temperature and pressure occurs in a stepwise controlled fashion. The system is also equipped with the required pressure transducers and temperature sensors. Ahead of any equilibrium experiments, the system and the sample (typically around 0.1-0.2 g) are evacuated under helium at 400 K for few hours under vacuum conditions until no weight change is detected and the system is assumed to have reached equilibrium. The required operating temperature can also be adjusted and the adsorption isotherms for propylene (propylene) and propyne (propyne) at 300, 320, 340 and 360 K.
The dynamic breakthrough and the vacuum swing uptake adsorption for single and multicomponent gases were conducted using a fixed-bed stainless steel column configuration packed Morphology and microporosity: Brunauer-Emmett-Teller (BET) analysis were conducted using liquid nitrogen. After 3 h of degassing, the adsorption and desorption under vacuum conditions were conducted at 150 • C. The BET surface area was established and was found to be around 368 (m 2 ·g −1 ). Pore size and pore volumes were 0.36(nm) and 0.167 (cm 3 ·g −1 ), respectively. Full experimental details are described in detail in Khraisheh et al. [63].
Powder X-Ray diffraction patterns were collected using Panalytical Empyrean diffractometer. Continues scanning mode was used (Cu Kα = 1.54Ǻ) with an operating power of 40 Kv and fixed divergence slit of 0.76 mm. Thermogravimetric analysis (TGA) were conducted under N 2 gas. Fourier-transform infrared spectroscopy (FTIR) (using Bruker Vertex 80) for the adsorbents was conducted in the range of 4000-400 cm −1 . The SEM analyses were conducted following standard protocols and discussed in detail in Khraisheh et al. [63]. Single pure gas adsorption uptake experiments were conducted using Rubotherm Prazisionsmesstechnik (GmbH, Bochum, Germany). The system was equipped with a magnetic suspension balance (MSB) and integrated gas dosing system (GDS). Adsorption and desorption were facilitated by an automated Teledyne pump (Isco 260D) allowing pressurization and depressurization up to a max 35 MPa. An illustration of the system and its components are shown in Figure S1. The change in temperature and pressure occurs in a stepwise controlled fashion. The system is also equipped with the required pressure transducers and temperature sensors. Ahead of any equilibrium experiments, the system and the sample (typically around 0.1-0.2 g) are evacuated under helium at 400 K for few hours under vacuum conditions until no weight change is detected and the system is assumed to have reached equilibrium. The required operating temperature can also be adjusted and the adsorption isotherms for propylene (propylene) and propyne (propyne) at 300, 320, 340 and 360 K.
The dynamic breakthrough and the vacuum swing uptake adsorption for single and multicomponent gases were conducted using a fixed-bed stainless steel column configuration packed with around 87 g MOF (bed porosity: 0.4; bulk density 389 kg·m −3 ) as shown in Figure 2. The vertical column was 0.20 m in diameter and 0.60 m in height. The temperature was controlled by placing the column is a convection oven that facilitates the control of the outside temperature. The gas feed in the column was regulated via flow controllers. The temperature inside the column was monitored using K-type thermocouples at three different locations alongside the height of the vertical column at 0.15, 0.4 and 0.6 m from the bed inlet side (designating, the bottom, middle and top of the column near-wall respectively). The flow of the gases in and out of the column was regulated using solenoid valves. The required mix of the binary gas was created by controlling the mass flow of the pure gases ahead of the column. Mass flow controllers were used to achieve gas purge (propyne) and rinse (propylene) as indicated in the locations illustrated in Figure 2. Pressure control valves were used to control the column pressure. Gases were analyzed using a gas chromatograph connected to the apparatus. Temperature, pressure and flow rate were recorded using a data acquisition system. Breakthrough isotherms for the single gas were conducted with a 1.2 SLPM (at 100 kPa and 273 K) of a pure gas (propylene or propyne). The bed is initially flooded with helium at 1 SLPM, 340 K and 150 KPa. When equilibrium is attained after each experiment, the column is again degassed with helium without having to change the bed temperature or pressure and to ensure complete degassing and full regeneration of the bed. For binary systems, the breakthrough was also attained using the same conditions but the desired gas feeds were obtained via controlling the mass flow of the pure gases. The molar fraction of propylene to propylene was 30:70% v/v at a flow rate of 1.2 SLPM. The adsorption bed itself with the packed solid was heated overnight to 423 K with helium flow ahead of the breakthrough experiments.   Vacuum pressure swing (VPS) experiments were conducted to effectively separate a binary 30:70% mixture of propyne and propylene with high propylene purity. The VSP cycle consisted of 5-6 cycles depending on whether propyne recovery is the main goal or propyne and propylene. If both gases are to be recovered the system will have a rinse step. Similar set-ups were used for the N 2 propylene recovery [49,52] and no-rinse was used for the separation of propane and propylene. Different stages were used in various studies with VSA cycles were formed using four [34,56,65], five [66] or six [49] steps depending on the required purity of the product and the nature of the binary system. The 6 steps cycle of the VSA is then repeated as expressed in S2. The 6 main steps include feed or adsorption, depressurization/rinse, blowdown, purge and pressurization are presented in Figure 3. The depressurization was conducted in the countercurrent operational mode. The experimental conditions in a given VPS cycle are given in Table 1. The first cycle is the feed step into the adsorption column where the gases are introduced at the entrance of the bed. The bed at this step was operated at high pressure (250 kPa). The step is followed by a low-pressure countercurrent depressurization step operated at 100 kPa. To obtain high purity propylene, a rinse step is used and is operated with no change of pressure from the previous step. The propylene is obtained in the blowdown step which operates at low pressure (10 kPa). The purge with propyne is carried out at 10 kPa. The outlet gas stream from this step can be recovered, recycled or purged as a waste product. The pressurization takes place using the propyne product until the bed pressure reaches 250 kPa and the cycle can start again. A trade-off between the low pressure (vacuum) and the purity of the product is required with respect to increased energy costs. In the rinse and purge stages, pure gases were used as required.

Results and Discussion
The SEM analysis of the prepared MOF is shown in Figure 4. Powders consisted of multi-sized agglomerations that range from 100-600 nm in size. Smooth and uniform particle shapes were observed with voids present between granules. Small crystal sizes are very desirable in fixed bed applications as they minimize the mass transfer resistance and increase the surface area per volume [66]. The prepared materials were tested to ascertain their bulk purity, identities and crystalline structure using XRD of a set wavelength. A scattering pattern results when a microcrystalline sample is hit by X-Rays, which can be used to characterize the ordering of the crystalline structure. Figure S3 shows the characterization of SISFIX-3-Ni in terms of XRD before and after activation as well as FTIR patterns. It can be seen that XRD was consistent with the reported crystal structure suggesting that the required phase purity was achieved during the experimental preparation with the required synthesized framework. The peak 12.4 • at 2θ corresponded to 100 planes in the SIFSIX-3-Ni crystal lattice. The peak is more visible and intense than other peaks. It can be inferred that readily exposed one-dimensional channels are available for the passage of the gas within the SIFSIX-3-Ni.

Results and Discussion
The SEM analysis of the prepared MOF is shown in Figure 4. Powders consisted of multi-sized agglomerations that range from 100-600 nm in size. Smooth and uniform particle shapes were observed with voids present between granules. Small crystal sizes are very desirable in fixed bed applications as they minimize the mass transfer resistance and increase the surface area per volume [66]. The prepared materials were tested to ascertain their bulk purity, identities and crystalline structure using XRD of a set wavelength. A scattering pattern results when a microcrystalline sample is hit by X-Rays, which can be used to characterize the ordering of the crystalline structure. Figure S3 shows the characterization of SISFIX-3-Ni in terms of XRD before and after activation as well as FTIR patterns. It can be seen that XRD was consistent with the reported crystal structure suggesting that the required phase purity was achieved during the experimental preparation with the required synthesized framework. The peak 12.4° at 2θ corresponded to 100 planes in the SIFSIX-3-Ni crystal lattice. The peak is more visible and intense than other peaks. It can be inferred that readily exposed one-dimensional channels are available for the passage of the gas within the SIFSIX-3-Ni. Thermogravimetric analysis TGA was performed to establish the thermal stability of the material. Tests were performed in temperatures reaching 750 °C in the presence of nitrogen gas ( Figure S4). It can be observed that a steeper change in material weight was observed between 280-300 °C, resulting in around 15% decrease in mass. The TGA patterns were in agreement with reported TGAs [43,67,68]. The initial evaporation of water and other volatiles is the most likely reason for the observed initial loss of mass, however, the larger drop in weight of the sample at higher temperature can be attributed to the decomposition of the material and the loss of wall and structural integrity [44,69,70]. Figure S5 shows the N2 adsorption-desorption isotherm. The shape of the adsorption and desorption isotherms indicated a reversible Type-I isotherm following IUPAC categorization. This typically is indicative of the formation of uniform narrow mesopores and a wider distribution of the pores [69][70][71]. The initial steep rise in the N2 adsorption-desorption isotherm at the low relative pressure (P/Po less than 0.001) is typically associated with the formation of established microporosity. The high-adsorbed volume values at relative pressures higher than 0.8 are reported to be attributed to the N2 capillary condensation in the antiparticle pores and indicating a possible expandable pore and a flexible structure which may lead to what is known as the gate-opening effect [9,21,22,72]. The N2 adsorption-desorption isotherms did not indicate the presence of a clear hysteresis loop at a low P/Po ratio. A slight hysteresis effect is present at a higher P/Po ratio.

Adsorption of Pure Compounds on SIFSIX-3-Ni
Pure gas-solid adsorption isotherms were determined for temperatures of 300, 320, 340 and 360 K. The uptake values of the two pure gases on SIFSIX-3-Ni are represented in Figure 5a in mmol·g −1 Thermogravimetric analysis TGA was performed to establish the thermal stability of the material. Tests were performed in temperatures reaching 750 • C in the presence of nitrogen gas ( Figure S4). It can be observed that a steeper change in material weight was observed between 280-300 • C, resulting in around 15% decrease in mass. The TGA patterns were in agreement with reported TGAs [43,67,68]. The initial evaporation of water and other volatiles is the most likely reason for the observed initial loss of mass, however, the larger drop in weight of the sample at higher temperature can be attributed to the decomposition of the material and the loss of wall and structural integrity [44,69,70]. Figure S5 shows the N 2 adsorption-desorption isotherm. The shape of the adsorption and desorption isotherms indicated a reversible Type-I isotherm following IUPAC categorization. This typically is indicative of the formation of uniform narrow mesopores and a wider distribution of the pores [69][70][71]. The initial steep rise in the N 2 adsorption-desorption isotherm at the low relative pressure (P/P o less than 0.001) is typically associated with the formation of established microporosity. The high-adsorbed volume values at relative pressures higher than 0.8 are reported to be attributed to the N 2 capillary condensation in the antiparticle pores and indicating a possible expandable pore and a flexible structure which may lead to what is known as the gate-opening effect [9,21,22,72]. The N 2 adsorption-desorption isotherms did not indicate the presence of a clear hysteresis loop at a low P/P o ratio. A slight hysteresis effect is present at a higher P/P o ratio.

Adsorption of Pure Compounds on SIFSIX-3-Ni
Pure gas-solid adsorption isotherms were determined for temperatures of 300, 320, 340 and 360 K. The uptake values of the two pure gases on SIFSIX-3-Ni are represented in Figure 5a in mmol·g −1 at pressures ranging from 1-120 kPa. The isotherm trends of the uptake values vs. the pressures reflects a clear difference in the adsorption ability of the solid towards the two pure gases. That is, the smaller gas molecule of propyne was absorbed faster (steeper curves) and in larger uptake quantities compared to those of propylene in all temperature ranges (300-360 K). The maximum adsorption for propyne were 3.32, 3.12, 2.97 and 2.43 mmol·g −1 at 300, 320, 340 and 360 K, respectively. The values for propylene for the same temperature range were 2.73, 2.64, 2.31 and 1.84 mmol·g −1 , respectively. Yang et al. [12] reported on the adsorption uptake values using three different types of SIFSIX (SIFSIX1-Cu, SIFSIX-2-Cu-i and SIFSIX-3-Ni. The prepared materials showed steep adsorption at low pressures and temperatures around 298 K. The authors reported that under low pressure and 700 ppm C 3 H 4 the recorded maximum adsorption was 2.0 mmol·g −1 for SIFSIX-3-Ni. In this study, the performance of the prepared SIFSIX MOF is superior when compared to other materials reported in the literature under the current experimental conditions ( Table 2). It can also be noted that a steep increase in the adsorption capacity at the lower pressure range is more apparent in the case of propyne and SIFSIX combination at all temperature ranges in comparison with the rest of the adsorbent/adsorbate systems (Figure 5a). In all cases, the adsorption of propyne is higher than that for propylene at all temperature ranges and in both adsorbents. A similar result was reported but, in the propylene, and C 3 H 8 systems on different metal-organic frameworks [13]. These higher affinity and uptake values can also be related to the better BET surface area and pore structure of the SIFSIX metal-organic frameworks. The kinetic diameter of the molecule will have a major effect on the selectivity of one gas over another. The linear propyne molecule (4.16 × 4.01 × 6.51 Å) is smaller than the larger curve-shaped propylene (4.64 × 4.16 × 6.44 Å) [22]. Besides, the existence of the methyl group in both gases makes their kinetic diameter quite close (4.2 and 4.6 Å for propyne and propylene, respectively). This small difference in kinetic diameter is one of the main reasons for the difficulty and energy intensity of the separation of the two gases in general and the large number of theoretical stages needed in the traditional cryogenic distillation used for the separation. The micropores analysis of the SIFSIX and kinetic diameter (average 4.2 Å) will allow both propyne and propylene to enter the pores. Nonetheless, it seems that the availability of a large number of anions (SiF 6 2− ) in the pores and channels of the framework [22] have a better binding ability for alkynes as compared to alkenes creating a preferred sieving effect towards propyne. The maximum equilibrium adsorption value reported here for the SIFSIX MOF was higher than that reported for the same material and propyne separation (1.87 mmol·g −1 ) [22]. The difference may be attributed to the different v/v% ratios used in the reported study. In addition, the value recorded in our work is similar to the benchmark uptake value reported for UTSA-200 ([Cu(azpy) 2 (SiF 6 )] n ; azpy = 4,4 -azopyridine) in the recent work by Li et al. [22]. The main reason for the good reported selectivity is the small aperture size of the UTSA-200 (3.4 Å) meaning that size exclusion is the only dominating mechanism in this case compared to stronger interactions between SIFSIX and the propyne gas. Yang et al. [12] reported that the precise tuning of the size of the inorganic anion hybrid ultramicroporous materials based on SiF 6 2− serves as a single molecule trap towards propyne. The clear difference in the uptake capacity at the same temperature and pressures above 10 kPa between propyne and propylene is indicative of the ability to use this solid to effectively separate the two gases given the adsorption preference and selectivity of the SIFSIX. Figure 5a depicts as well the profound effect of the temperature on the adsorption of the pure gases. Temperatures in the range of 300-360 K were used for pressures up to 100 kPa. The ability of the material to adsorb the gas decreases (for both gases) with the increase in temperature. The gap between the adsorption uptakes of the solid between the 300-320 K are not as large as those at elevated temperatures (340-360 K). Other adsorption systems such as propylene and C 3 H 8 reported in studies showed similar trends with respect to uptake values vs. temperature [13]. In addition, a study of the adsorption-desorption behaviours for propyne and propylene on SIFSIX ( Figure S6) is essential to ascertain the reversibility, hence the release of the gases upon generation. It is also evident that the hysteresis effect is more pronounced in propyne adsorption compared to that for propylene. This indicated a strong affinity and molecular interactions between propyne molecules and the structure of the sorbents. For propylene, a small hysteresis is observed. A similar effect was reported in a recent study by Lin et al. [45] where solids such as SIFSX-1-Cu, SIFSIX-2-Cu-i, ELM-12 interacted strongly with propyne at pressures less than 20 kPa. These strong interactions were exhibited in a steep adsorption uptake isotherm at a fixed temperature over propylene with reported benchmark uptake values [22].   Adsorption isotherms were measure at all temperature ranges, however, only trends obtained at 300 K were reported in Figure 5b for simplicity. Many models are reported in the literature to describe the adsorbent capacity for a certain species. The most commonly used in the case of a gas-solid adsorption system are Langmuir, Freundlich, Sips and Toth isotherms [13]. The first two models are known as the two-parameter models while the later models are a hybrid combination of the two-parameter models. Here only the Langmuir and the Toth are used to fitting the experimental data. The first due to its simplicity and widespread application and the second (Toth) due to its accuracy over a large range of data points and experimental conditions. The Langmuir model assumes monolayer adsorption with similar energy used for all sites on the solid sorbent. In this isotherm, the saturation adsorption capacity is in Equation (1) ( Table 3). The two main factors of Equation (1) are estimated from experimental data and used to establish the model fit of the data to the isotherm. The applicability of the isotherm is typically related to another factor that is associated with the Langmuir model as described in Equation (2) ( Table 3). The value of the separation factor R l is indicative of the ability of the model to fit the experimental data. The Toth isotherm [70] (Equation (3), Table 3) is a dual-site isotherm based on the Langmuir and Freundlich isotherms. A value of n close to 1 is an indication of the system heterogeneity; a value of 1 reduced the Toth equation back into Langmuir isotherm. The applicability of this model in a good range of system pressure application resulted in its wider application in gas-solid adsorption systems.
Statistical analyses were used to evaluate the fit of the experimental data to the various models. The most-reported parameter used is based on the average absolute relative deviation (AARD), coefficient of determination (R 2 ). Experimental data are fitted to isotherms to help predict the general behaviours of the adsorbent adsorbate interactions and uptake values. The system's affinity for adsorption is indicated by the value of the constants calculated. In the case of Langmuir, the linearized form of the Equations (1) and (3) is used to estimate the equilibrium adsorption uptake amount (q sat ) under a given pressure and temperature system. It is also related to the maximum adsorbed amount Q. Experimental results obtained for the two gases were analyzed by regression analyses and all model fits are represented in Figure 5b. From the trends shown in Figure 5b, it can be seen that the Langmuir had a varied degree of representation of the system with better presentation of the adsorption of the propylene compared to the propyne system as reflected by lowered AARD (Table 4) for the range of pressures for the case of SIFSIX and propyne systems. The Toth model regression offered a better fit of the experimental data over the entire range of pressures. The representation and fitting of the models are important to estimate the energy in the form of the isosteric heats of adsorption that is based on the Clausius-Clapeyron equation. The calculation of the isosteric heats of adsorption (Q st (kJmol −1 )) is essential for the understanding of the strength of the interactions between the solid surface and the adsorbate in addition to any energetic heterogeneity in the solid surface as given in Equation (5) and Table 3. Table 3. Mathematical expressions used for the representation of experimental data.

Equation Parameter Definition Equation
Langmuir isotherm Q = q sat k l P 1+k l P Q (mmol·g −1 ): adsorption capacity; q sat (mmol·g −1 ): equilibrium uptake capacity of the gas species; P: system pressure (kPa); k l : isotherm constant related to the energy of adsorption. (1) Separation Factor R l = 1 1+k l P R l separation factor (2) Toth Isotherm Q = q sat (kt P) n (1+kt) n 1 n k t and n are Toth constants specific for adsorbate-adsorbent pairs; n indicates the affinity of the adsorption Power consumption η: the compressor efficiency; γ: the specific heat capacity of the gas, C: the gas concentration (mol m −3 ); Q F : the volumetric flow rate at the bed outlet (m 3 s −1 ); ε tot : the total bed porosity (9) The isosteric heats of sorption as a function of adsorbed amounts are shown in Figure 5c. At zero uptake, the maximum value of Q st is attained. For SIFSIX and propyne system, the Q st zero was around 45 kJ·Kmol −1 and for propylene system, the maximum value was around 30 kJ·Kmol −1 . The higher isosteric heat value is related to the strong interactions between the solid and the gas which is higher for propyne than propylene under the experimental conditions used. In addition, the general trend for all cases is that Q st decreases gradually with the increase in uptake rate of the gases on the pore structure of the solids. The continuous decrease at a similar rate indicates the homogeneity of the pore environment; typically, as Q st increases with higher uptake rates, heterogeneity of the surface is usually present [13]. In addition, the differences between the propyne and propylene are a good indication of the separation possibilities of the two gases. It can also be inferred that the highest value of Q st was recorded for the lower adsorbate loading (Figure 5c).

Breakthrough Adsorption
The dynamic breakthrough was established and represented in terms of molar flow rate values vs. operation time in Figure 6 a for binary mixtures of C 3 H 4 /C 3 H 6 (30:70 v/v)). It can be seen from the trends in Figure 6a that the heavier propylene molecules were eluted first from the column compared to the lighter propyne molecules upon adsorption on SIFSIS-3-Ni. This also confirms earlier findings of the stronger bindings and affinities found between propyne and the SIFSIX adsorbent. The gab showed between the C 3 H 4 and C 3 H 6 breakthrough lines is a good indication of the ability to separate the two compounds using SIFSIX MOF confirming the potential application of SIFSIX-3-Ni for the separation. Figure 6b gives the temperature histories of the column at the various thermocouple locations (set at the bottom, mid and top of the adsorption vertical column). Around 3500 s, the desorption starts, and a sharp increase in the outlet molar flow rate of the two gases is observed. Figure 6b shows that the temperature increases rabidly at the first stages of operation followed by a return to feed temperature. around 45 kJ·Kmol −1 and for propylene system, the maximum value was around 30 kJ·Kmol −1 . The higher isosteric heat value is related to the strong interactions between the solid and the gas which is higher for propyne than propylene under the experimental conditions used. In addition, the general trend for all cases is that Qst decreases gradually with the increase in uptake rate of the gases on the pore structure of the solids. The continuous decrease at a similar rate indicates the homogeneity of the pore environment; typically, as Qst increases with higher uptake rates, heterogeneity of the surface is usually present [13]. In addition, the differences between the propyne and propylene are a good indication of the separation possibilities of the two gases. It can also be inferred that the highest value of Qst was recorded for the lower adsorbate loading (Figure 5c).

Breakthrough Adsorption
The dynamic breakthrough was established and represented in terms of molar flow rate values vs. operation time in Figure 6 a for binary mixtures of C3H4/C3H6 (30:70 v/v)). It can be seen from the trends in Figure 6a that the heavier propylene molecules were eluted first from the column compared to the lighter propyne molecules upon adsorption on SIFSIS-3-Ni. This also confirms earlier findings of the stronger bindings and affinities found between propyne and the SIFSIX adsorbent. The gab showed between the C3H4 and C3H6 breakthrough lines is a good indication of the ability to separate the two compounds using SIFSIX MOF confirming the potential application of SIFSIX-3-Ni for the separation. Figure 6b gives the temperature histories of the column at the various thermocouple locations (set at the bottom, mid and top of the adsorption vertical column). Around 3500 s, the desorption starts, and a sharp increase in the outlet molar flow rate of the two gases is observed. Figure 6b shows that the temperature increases rabidly at the first stages of operation followed by a return to feed temperature.

Vacuum Pressure Adsorption (VPA)
For the VSA, the 6-cycle process depicted in Figure 3 was used for the recovery of high purity C 3 H 4 and C 3 H 6 . The duration of the adsorption (feed) step was set for 800 s followed by a 100 s depressurization. The rinse and purge time were around 600 s while 50 s were used to increase the pressure in the system (Table 1). Four-column VSA units (see Figure 3) were required to continues the feed operation of the system under the given operational conditions. The feed flow rate at each stage was controlled and is given in Table 1. The pressure change history in the system is given in Figure 7a while the outlet flow rate is depicted in Figure 7b. In the adsorption and depressurization cycle, the C 3 H 4 is eluted and the outlet will only have propyne in it. In the rinse stage, no breakthrough of C 3 H 6 was observed (Figure 7b). In the blowdown stage, the main constituent of the outlet stream was propylene as well as significant amounts of C 3 H 6 leaves the column at the purge stage of the VSA cycle which is recovered to the main propylene stream. Figure 8 shows the temperature and concentration (mol·m −3 ) of gas as obtained at the end of each of the cycles at steady-state conditions. At the end of the adsorption and depressurization operations, the trends can be considered to be similar (Figure 8a,b) to those in Figure 6. It can be seen that the concentration fronts are sharper. Similar observations were made for a cycle of N 2 and C 3 H 6 [49]. In the rinse cycle (Figure 8c), the C 3 H 6 is fed to the column and C 3 H 4 is withdrawn. It can be seen that the system is operated in a way to ensure two-stage fronts of C 3 H 6 . Both gases merge near the last stages of the rinse cycle where the cycle is stopped before the breakthrough of C 3 H 6 . The temperature is observed to increase towards the last third of the column (Figure 8c). Immediately before the end of the rinse cycle, C 3 H 6 is introduced to the column in the blowdown stage (Figure 8d). A slight decrease in C 3 H 6 concentration can be seen at the end of the blowdown stage and the subsequent purge stage (Figure 8e). The end of the VSA cycle is the pressurization stage where the column is filled with C 3 H 4 .

Vacuum Pressure Adsorption (VPA)
For the VSA, the 6-cycle process depicted in Figure 3 was used for the recovery of high purity C3H4 and C3H6. The duration of the adsorption (feed) step was set for 800 s followed by a 100 s depressurization. The rinse and purge time were around 600 s while 50 s were used to increase the pressure in the system (Table 1). Four-column VSA units (see Figure 3) were required to continues the feed operation of the system under the given operational conditions. The feed flow rate at each stage was controlled and is given in Table 1. The pressure change history in the system is given in Figure 7a while the outlet flow rate is depicted in Figure 7b. In the adsorption and depressurization cycle, the C3H4 is eluted and the outlet will only have propyne in it. In the rinse stage, no breakthrough of C3H6 was observed (Figure 7b). In the blowdown stage, the main constituent of the outlet stream was propylene as well as significant amounts of C3H6 leaves the column at the purge stage of the VSA cycle which is recovered to the main propylene stream.  Figure 8 shows the temperature and concentration (mol·m −3 ) of gas as obtained at the end of each of the cycles at steady-state conditions. At the end of the adsorption and depressurization operations, the trends can be considered to be similar (Figure 8a,b) to those in Figure 6. It can be seen that the concentration fronts are sharper. Similar observations were made for a cycle of N2 and C3H6 [49]. In the rinse cycle (Figure 8c), the C3H6 is fed to the column and C3H4 is withdrawn. It can be seen that the system is operated in a way to ensure two-stage fronts of C3H6. Both gases merge near the last stages of the rinse cycle where the cycle is stopped before the breakthrough of C3H6. The temperature is observed to increase towards the last third of the column (Figure 8c). Immediately before the end of the rinse cycle, C3H6 is introduced to the column in the blowdown stage (Figure 8d). A slight decrease in C3H6 concentration can be seen at the end of the blowdown stage and the subsequent purge stage (Figure 8e). The end of the VSA cycle is the pressurization stage where the column is filled with C3H4.  Figure 9 shows the four VSA cycles (as described in Figure 3) represented here as the outlet molar flow rate (mmols −1 ) with respect to cumulative operation time (min). The figure clearly indicated that cyclic repeatability and consistency was achieved over the four VPA cycles. A very slight variation was noticed only at the start of the first cycle until the system attains its steady-state conditions. Propylene molar flow rate at the beginning of the blowdown stage is at its maximum value before declining with pressure. This steady-state condition and attainment for more than one cycle operation are advantageous. However, purity, productivity and recovery are the most common key indicators used to evaluate the ability of the VSA system to separate the two gases effectively with the required high-grade purity. The mathematical representation of the three indicators is given in Table 3.
The VSA system was tested with respect to changing blowdown time and purge time as indicated in Table 1. In addition, the estimated energy requirements were estimated using Equation (9) (Table 3). In the calculations of the energy consumed, the efficiency of the compressors and the vacuum pump was assumed to be 70%. In reality, the efficiency, especially for the vacuum pump, can be lower but the 70% range is acceptable for calculations and a 72% was reported by Qasem [59]. The calculations were made with the assumptions that the systems attained equilibrium.  Figure 9 shows the four VSA cycles (as described in Figure 3) represented here as the outlet molar flow rate (mmols −1 ) with respect to cumulative operation time (min). The figure clearly indicated that cyclic repeatability and consistency was achieved over the four VPA cycles. A very slight variation was noticed only at the start of the first cycle until the system attains its steady-state conditions. Propylene molar flow rate at the beginning of the blowdown stage is at its maximum value before declining with pressure. This steady-state condition and attainment for more than one cycle operation are advantageous. However, purity, productivity and recovery are the most common key indicators used to evaluate the ability of the VSA system to separate the two gases effectively with the required high-grade purity. The mathematical representation of the three indicators is given in Table 3. The VSA system was tested with respect to changing blowdown time and purge time as indicated in Table 1. In addition, the estimated energy requirements were estimated using Equation (9) (Table 3). In the calculations of the energy consumed, the efficiency of the compressors and the vacuum pump was assumed to be 70%. In reality, the efficiency, especially for the vacuum pump, can be lower but the 70% range is acceptable for calculations and a 72% was reported by Qasem [59]. The calculations were made with the assumptions that the systems attained equilibrium. can be selected (shorter time of 100 s) which was deemed suitable for operation in the VSA cycles. This is well supported by the productivity trend (Figure 10b) that supports a shorter blowdown time (100 s) where the productivity value was highest. Figure 10c represents the changes of purity and recovery with respect to the purge cycle time (600-750 s) while Figure 10d depicts the impact of the changing productivity with respect to change in purge time. The increase in purge time had a positive effect on C 3 H 6 recovery but reduced productivity and recovery. Accordingly, under the experimental conditions used in this study for VSA, the purge time of 600 s was considered a suitable trade-off time for purging. Figure 10e,f shows the power consumption used in the VSA system under consideration with respect to the changes in purge and blowdown time respectively. The increase in the blow downtime (at 600 s Purge) resulted in nearly the same energy consumption requirement. On the other hand, a vast difference was noticed in the energy requirements when the purge time increased from 600 to 750 at a blowdown time of 100 s. Although the amount of desorbed C 3 H 6 was not changed with the prolonged purge time, the overall time for the completion of the VSA will change in addition to the energy requirements. Recovery up to 99%, purity of 98.5% were achieved at a purge time of 600 s. Maximum achieved purity and recovery were 97.4% and 98.5% at 100 s blowdown time. Energy and power consumption varied between 63-70 kWh/ton at the range of purge and blowdown time used. The times given here were suitable for use with the bed dimensions and in agreement with those suggested in other studies [52]. A much shorter purge time was reported for a CO 2 and N 2 separation system where the blowdown time was 100 s and purge time was changed between 50-150 s [38,59,73]. The smaller reported purge time was consistent with the small adsorption bed that has a length of 0.07 m and an inner diameter of 0.4 cm. The bigger columns in addition to the times employed in this study are in more agreement with scaled-down industrial application cycles and represent more realistic operating conditions.

Conclusions
In this work benchmark SIFSIX-3-Ni uptake removal of C3H4 from a stream of C3H6 was achieved with a value of 3.32 mmol·g −1 under the experimental conditions and set us used in this study. Toth

Conclusions
In this work benchmark SIFSIX-3-Ni uptake removal of C 3 H 4 from a stream of C 3 H 6 was achieved with a value of 3.32 mmol·g −1 under the experimental conditions and set us used in this study. Toth mathematical isotherm represented the adsorption data well over the full range of pressures and for both gases. High isosteric heats of adsorption were obtained for propyne (45 kJ·Kmol −1 ) compared to around 30 kJ·Kmol −1 for propylene indicating a strong affinity for the C 3 H 4 on the MOF. Breakthrough experiments ascertained the ability of the MOF to separate the two materials with the heaviest molecule being eluded first from the top of the fixed bed. 6-step vacuum pressure swing adsorption process was used to develop and test the separation under real industrial conditions to facilitate the understanding of the performance and effectiveness of MOF for the C 3 H 4 /C 3 H 6 separation. C 3 H 6 can be successfully separated under controlled VSA cycle conditions with the best purity, recovery and productivity at blow downtime of 100 s and a purge time of 600 s. At such conditions, recovery up to 99%, purity of 98.5% were achieved. While a maximum achieved purity and recovery were 97.4% and 98.5% at 100 s blowdown time. Energy and power consumption varied between 63-70 kWh/ton at the range of purge and blowdown time used.