The high pressure sapphire cell apparatus is a unique tool to study, without sampling, phase behavior under a wide range of pressures. Using a cathetometer, very precise volume measurements can be recorded to measure liquid expansion and phase composition. Thus, this synthetic method enables the study of (1) phase equilibria of multi-component mixtures and (2) the partition behavior of catalyst or model compounds as a function of pressure.
The high pressure sapphire cell apparatus was constructed to visually determine the composition of multiphase systems without physical sampling. Specifically, the sapphire cell enables visual data collection from multiple loadings to solve a set of material balances to precisely determine phase composition. Ternary phase diagrams can then be established to determine the proportion of each component in each phase at a given condition. In principle, any ternary system can be studied although ternary systems (gas-liquid-liquid) are the specific examples discussed herein. For instance, the ternary THF-Water-CO2 system was studied at 25 and 40 °C and is described herein. Of key importance, this technique does not require sampling. Circumventing the possible disturbance of the system equilibrium upon sampling, inherent measurement errors, and technical difficulties of physically sampling under pressure is a significant benefit of this technique. Perhaps as important, the sapphire cell also enables the direct visual observation of the phase behavior. In fact, as the CO2 pressure is increased, the homogeneous THF-Water solution phase splits at about 2 MPa. With this technique, it was possible to easily and clearly observe the cloud point and determine the composition of the newly formed phases as a function of pressure.
The data acquired with the sapphire cell technique can be used for many applications. In our case, we measured swelling and composition for tunable solvents, like gas-expanded liquids, gas-expanded ionic liquids and Organic Aqueous Tunable Systems (OATS)1-4. For the latest system, OATS, the high-pressure sapphire cell enabled the study of (1) phase behavior as a function of pressure and temperature, (2) composition of each phase (gas-liquid-liquid) as a function of pressure and temperature and (3) catalyst partitioning in the two liquid phases as a function of pressure and composition. Finally, the sapphire cell is an especially effective tool to gather accurate and reproducible measurements in a timely fashion.
When reactions are being conducted with a hydrophilic catalyst and a hydrophobic substrate to form a hydrophobic product, it is quite common to employ mixed solvents in order to provide a homogeneous reaction system. For example, THF-water and acetonitrile-water are commonly mixed solvent vehicles for these homogenous reaction processes. Ideally, it would be advantageous to develop a process in which the reaction is performed under homogeneous conditions followed by an induced phase split to separate the aqueous and organic solvent components. The hydrophilic catalyst would then be located in the aqueous phase and the hydrophobic product in the organic phase. The overall process would enable a facile separation/isolation of product and a means to recycle the catalyst. Organic Aqueous Tunable Solvents (OATS) provide a vehicle to accomplish this strategy. The first step in developing OATS was to understand the phase behavior of the organic-aqueous solution as a function of organic/water proportion, CO2 pressure and temperature. The efficiency of the phase separation upon addition of CO2 (i.e. the cross-solubility in each phase) is important to quantify. In fact from a process standpoint, cross-solubility can translate directly to product and catalyst losses in the undesired, respective phases. Therefore, knowing phase composition as a function of pressure is key information for “real-world” applications. Sampling methods are available;5-7 however, direct sampling from high pressure systems may alter the equilibrium of the system and result in phase separation or flashing as a result of abrupt changes in pressure or temperature in the sample line. Therefore, a method that does not disturb the system and enables fast acquisition and reproducible data was preferable. The high pressure sapphire cell apparatus is indeed a versatile tool to measure phase behavior without sampling. Using a cathetometer, very precise volume measurements can be recorded. These experimental volume measurements are then used with the Peng-Robinson cubic equation of state (modifications of Stryjek and Vera) and modified Huron-Vidal mixing rules to effectively calculate volume expansion and phase compositions as a function of temperature and pressure8-10. This technique was specifically designed to measure phase equilibria of vapor-liquid-liquid systems. It should be highlighted that the sapphire cell is not suited to study systems that involve solids. The data acquired with the high-pressure sapphire cell guided the choice of experimental conditions for OATS mediated reactions, separations and catalyst recycling. Furthermore, the sapphire cell was also used to (1) measure solvent expansion (or swelling) as a function of CO2 pressure with organic solvents and ionic liquids, (2) determine catalyst partitioning in multiphase systems as a function of pressure, solvent system and temperature and (3) understand phase behavior in complex reaction systems conducted under pressure. Herein, we report (1) the description of high- pressure sapphire cell apparatus, (2) the possible limitations and safety precautions, (3) its operating protocol, and (4) specific proof of principle results.
The high-pressure sapphire cell discussed above was custom made (Figure 1). The equilibrium cell consists of a hollow sapphire cylinder (50.8 mm O.D. x 25.4±0.0001 mm I.D. x 203.2 mm L). The cell is divided into two chambers separated by a piston. The bottom cell contains water used as a pressurizing fluid (dyed blue for demonstrative purposes) and the top cell contains the equilibrium components (Figure 2). The air bath was custom-constructed of Plexiglas to fit specific setting and hood-size. The cell is placed inside a temperature controlled airbath, which is maintained with a digital temperature controller. The temperature of the airbath is monitored with thermocouples (Type K) and digital readouts. There is an additional thermocouple (Type K) inside the sapphire cell that is also monitored with a digital readout. The pressures were measured with a pressure transducer and digital readout. Two high pressure, 500 ml, syringe pumps capable of maintaining pressure up to 10 MPa were required for operation. The first high pressure syringe pump contains water that is used to pressurize the system. The second high pressure pump was used to introduce CO2 (or other gas) to the system. The gas inlet is at the top of the sapphire cell. The pressure is controlled with the high pressure syringe pump to achieve equilibrium pressure on both sides of the piston. The cell is mounted on a rotating shaft, and mixing is achieved by manually rotating the entire cell.
Liquid and vapor volumes are calculated by measuring the height of the meniscus with a micrometer cathetometer. For displacements less than 50 mm, the accuracy is 0.01 mm; for larger displacements, the accuracy is 0.1 mm.
1. Assembly of the Sapphire Cell
2. Safe Handling of the Sapphire Cell
Note: Do not handle the sapphire cell with bare hands. The transfer of oil from skin can result in micro-cracks or scratches. Do not place the sapphire cell on the lab bench unprotected. The hard surface will likely scratch the cell, or there is risk of the cell rolling. Always inspect the cell for any cracks or defects prior use. Place the air-bath in the down position when operating the cell under pressure. The airbath serves two purposes: (1) to control temperature when necessary and (2) to provide a barrier between the individual and the pressurized contents of the cell in case of catastrophic failure.
3. Operation of the Sapphire Cell Apparatus
4. Cleaning the Sapphire Cell
Following the completion of the experiment, clean the sapphire cell. Clean the cell by repeatedly washing with solvents. Disassemble cell (see Protocol 5) to clean if needed.
5. Disassembling the Sapphire Cell
The schematic of the high-pressure sapphire cell is shown in Figure 2, along with a picture of the cell. The sample is in the top cell and in the bottom cell is water with blue dye for demonstration purposes. The liquid components are fed via a syringe and valve, while the CO2 (gas component) is pumped through a high pressure syringe pump. The pressure can be controlled through the piston (the water is also fed via high pressure syringe pump in our setup). The liquid and gas phases can be clearly seen in the cell, above the piston. The assembly of the piston is described in the protocol, and is basically constructed with the threaded rod (Figure 3), the backing ring and associated O-ring (Figure 3). The thermocouple measures the temperature in the cell. The whole cell is encased into an air bath to precisely control temperature. The level of each liquid and vapor phase is precisely measured using the cathetometer located on the left hand side of the diagram.
Ternary phase diagrams have been calculated using the measurements recorded using the sapphire cell technique11-13. Using the following material balances, two specific ternary phase diagrams were constructed as shown in Figures 5 and 6.
Equation 1
Equation 2
Equation 3
In the above equations, N is the number of moles, known from loading the sapphire cell and V is the volume of phases α, β or measured using the cathetometer. The molar volumes, and the mole fraction of component i in phase α, β or are unknown variables. For a multicomponent, multiphasic system, the nine unknown terms are solved by using three different cell loadings to establish nine material balances14,15.
A ternary diagram of water + CO2 + THF at 25 °C obtained with two distinct techniques is shown in Figure 5. The synthetic method refers to the data obtained with the sapphire cell protocol. The analytical method refers to sampling method, in which samples of each phase were taken and analyzed separately (this was conducted in a Parr reactor equipped of dip-tubes and sampling loops). Clearly, the data obtained by the two methods compare well, establishing the sapphire cell as an accurate technique. In contrast with the sampling technique however, the sapphire cell is much less experimentally intensive than the analytical method and minimizes measurement error and improves repeatability. In Figure 6, the ternary phase diagram of CO2 + THF + water is shown along with calculated phase behavior. The table of data at 3 different temperatures is also shown (Table 1). Experimentally, the ability to have a direct visual on the phase behavior was essential. This is particularly evident in Figure 7, which shows a water/THF solvent system in the absence and in the presence of CO2. Again the blue liquid is simply the water (with a blue dye) that controls pressure by moving the piston. A homogeneous mixture of THF/ water (70/30) containing a red, hydrophilic dye in the absence of CO2 is shown on the right in Figure 6. The addition of 2 MPa of CO2 causes a striking phase split with the aqueous rich phase at the bottom and the THF-expanded phase on the top. The hydrophilic red dye partitions exclusively in the aqueous phase-the UV measurements indicate a partition coefficient higher than 106 (the limit of detection of our instrument).
Figure 1. Schematic with dimensions of the body of the sapphire cell.
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Figure 2. Schematic and picture of the sapphire cell apparatus.
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Figure 3. Threaded rod for piston removal.
Figure 4. Bottom (left) and top (right) end caps fitted with backing rings and O-rings.
Figure 5. Ternary diagram of the system THF/Water/CO2 at 25 °C. Comparison of experimental methods (●) Synthetic method (Sapphire cell). (□) Analytical method8.
Figure 6. Ternary diagram of the system THF/Water/CO2 at 25 °C, showing the liquid-liquid equilibrium at various CO2 pressures, experimental and predicted data16.
Figure 7. Water-THF-CO2 Equilibria. Left: No CO2, a single phase. Right: 2 MPa of CO2, two liquid phases with dye partitioning >106.
Table 1. LLE of CO2+THF+Water System at 298, 313 K 8.
The sapphire cell apparatus is a unique tool for measuring phase behavior without sampling, and thus equilibrium is not disturbed. To ensure accurate repeatable data, there are critical steps in the protocol (Protocol 4 entitled “Operation of the Sapphire Cell Apparatus”) that must be followed. For any system in which phase composition is measured, it is critical to reach equilibrium prior to measurement. The sapphire cell is placed on a rotating shaft that facilitates mixing to more rapidly achieve equilibrium. The ternary system consists of three components and three phases (vapor-liquid-liquid) at a fixed temperature and pressure. Through a series of material balances, the composition and molar volumes of the three phases is measured. Measurement repetition is required to ensure repeatable and accurate visual data collection.
As mentioned, solids are not easily handled with this technique. First, it renders visual measurement almost impossible. Second, it requires that the cell be disassembled for cleaning. Literature provides a means for troubleshooting14,17; however, the technique is straightforward and without significant potential for difficulties. Limitations of the presented technique must also be considered for extension to highly nonideal systems.
Modifications to the outlined technique may be made to accommodate additional phase behavior studies. Using the sapphire cell apparatus, volume measurements of binary systems (VLE) and phase behavior measurements may be used to describe accurately the effect of the solvent system on the reaction kinetics in a multicomponent system. The method described herein to determine VLL phase equilibria at low and high pressures is precise and efficient. The effect of pressure on phase composition can be obtained visually and without the need of sampling - and thus without disturbing the system. It is a versatile technique and has been used in our laboratory for additional applications including the determination of catalyst partitioning, volume expansion, or ionic liquid swelling as a function of CO2 pressure.
The authors have nothing to disclose.
Hollow sapphire cylinder | 50.8 mm O.D. × 25.4±0.0001 mm I.D. × 203.2 mm L |
Pressurizing fluid | Water |
Syringe pumps | Teledyne Isco Model 500D |
Digital temperature controller | Omega CN76000 |
Digital readouts | HH-22 Omega |
Thermocouples | Omega Type K |
Pressure transducer & readout | Druck, DPI 260, PDCR 910 |
CO2 | SCF grade |
Cathetometer | Gaertner Scientific corporation or any scientific lab suppliers. |
Relief valve | Spring loaded releive valve (swagelok) |
mounting bracket | UNISTRUT bracket |
Hollow spacers | 3/4 inch |
4 stainless steel bolts, 4 nuts, 2 washers | 3/4 inch |
3 O-rings | Kalrez, 210 size |
3 backing rings | 116 size for piston; 2 8210 size for end caps |
1 multi-port fitting | HiP |
High pressure tubing | Stainless steel, 1/16 in. |