2.1.1. Dimethyl Carbonate Production
As previously mentioned, the most efficient route for dimethyl carbonate (DMC) synthesis is the indirect pathway, which involves the production of ethylene carbonate (EC) as an intermediate step toward obtaining DMC. Equations (1) and (2) represent the overall reactions in this route.
For kinetic modeling, the first reaction was based on the study by Wang et al. (2011) [
25], which investigated a catalyst composed of potassium iodide supported on potassium carbonate (KI∙K
2CO
3−1). Their findings indicated that the reaction follows second-order kinetics, with the rate law described by Equations (3) and (4). This catalyst demonstrated high selectivity and stability over multiple cycles, making it a promising option for continuous processes. However, its performance can be influenced by the reaction temperature and CO
2 adsorption, which may lead to catalyst deactivation over extended use.
For the second reaction, Fang and Xiao (2004) [
26] proposed using a homogeneous catalyst, CH
3Ona, which facilitates the transesterification of ethylene carbonate (EC) with methanol. This reaction is reversible, and Equations (5) and (6) present its corresponding rate law. The advantage of CH
3ONa lies in its high catalytic activity, but it requires efficient separation strategies to avoid contamination of the final product. Furthermore, the presence of water or CO
2 in the system can lead to catalyst deactivation, reducing overall efficiency [
26].
In these equations,
rEO and
rEC represent ethylene oxide (EO) and ethylene carbonate (EC) reaction rates, respectively.
CEO,
CCO2,
CEC,
CMeOH, and
CDMC denote the concentrations of EO, CO
2, EC, methanol, ethylene glycol (EG), and DMC, respectively.
R is the universal gas constant,
T is the system temperature, and
k0,
k+1, and
k−1 are the specific reaction rate parameters. The activation energies (
E) and pre-exponential factors (
A) for these parameters were obtained from the respective studies and are presented in
Table 1.
The selection of these catalysts and kinetic models was based on their efficacy in promoting high conversion rates, their reported stability, and their industrial feasibility. The study parameters, such as temperature, reactant concentrations, and catalyst loading, were optimized to balance reaction kinetics and process efficiency while minimizing by-product formation and catalyst degradation.
The synthesized process flowsheet for the simulation of this route is illustrated in
Figure 2, where the arrows indicate the process steams and blocks represent the process equipment; the process steps will be described hereafter according to Kongpanna et al. (2015) [
27].
Initial Reaction Stage: At the process’s beginning, CO2 and ethylene oxide (EO) are fed into the first plug flow reactor (R-EC) in a 1:1 molar ratio. Since the CO2 is stored at low pressure in the capture units, it must be compressed before entering the DMC production section. The compression occurs in two stages. In the first stage (COMP1), the pressure is raised to 10 bar, causing a simultaneous increase in temperature. At this point, the CO2 provides sufficient energy through a heat exchanger (EXC1) to bring the EO to the necessary temperature for the reactor. The CO2 is then compressed again (COMP2) to a pressure of 39.5 bar, and, via a second heat exchanger (EXC2), its temperature is adjusted to 100 °C.
The reactor (R-EC) is a single tube, 4.11 m long and 0.91 m in diameter, operating at a constant temperature of 150 °C. The product stream from this reaction (S009) is sent to a flash separator (SEP1) operating at 1.5 bar and 210 °C to recover unreacted CO2. The resulting liquid stream, predominantly ethylene carbonate (EC, S011), is then directed to the transesterification stage.
Transesterification Stage: In this stage, the EC stream is mixed with methanol and sent to the second plug flow reactor (R-DMC). Methanol is added in excess, as recommended by several studies, to enhance conversion rates [
4,
11]. The second reactor is multitubular, with tubes 10 m long and 5 cm in diameter, maintained at a constant temperature of 30 °C.
Due to the significant presence of impurities in the outlet stream (S014), much of this stage is dedicated to product separation and purification. Initially, the process passes through a distillation column (SEP2) with 9 stages and a distillate-to-feed ratio of 0.84. This column separates a mixture of DMC and methanol at the top (S015), while the bottom stream (S016) predominantly contains ethylene glycol (EG).
The bottom stream is directed to a second distillation column (SEP3), featuring 25 stages and a reflux ratio of 2.4, which enables the complete separation of EG (S017). Meanwhile, the top stream from the first column (S015) is sent to a third distillation column (SEP4), equipped with 18 stages and a reflux ratio of 15. This column separates the excess methanol from DMC, with the bottom stream (S021) composed mainly of purified DMC and the top stream (S020), rich in methanol, which can be recycled for use in the second reactor or other processes.
2.1.2. Methanol Production
On the other hand, the complementary process of methanol production via biomass gasification is initially divided into three main stages: raw material pretreatment, gasification, and, finally, methanol synthesis. The flowchart of this process is shown in
Figure 3, where the arrows indicate the process steams and blocks represent the process equipment, with the conditions described in detail below.
The initial biomass parameters were based on the study by Rey et al. (2021) [
28], which characterized biomass components from the combination of sugarcane bagasse and straw. In addition, adjustments and normalizations were made to improve the accuracy of the feedstock simulation, representing coal as carbon in its entirety. The details of the parameters used are described in
Table 2 and
Table 3.
The process begins with introducing biomass into a conversion reactor (R-DRYER) at 373.15 K, representing the dehumidification stage, where the moisture content is reduced based on the stoichiometric biomass–water ratio of 1:0.055. Phase separation occurs in a representative manner using a flash separator (SEP5), directing the vapor to the upper stream (S103) and the dried biomass to the lower stream (S104).
In the subsequent stage, this stream is fed into a Gibbs reactor (R-DECOMP) at 1073.15 K, where calcination occurs to yield elemental fractions. The products are then directed to the gasification reactor (R-GAS), also a Gibbs reactor, where reactions occur in controlled steam under high pressure. The nitrogen (N), sulfur (S), and chlorine (Cl) compounds in the biomass are converted into ammonia (NH3), hydrogen sulfide (H2S), and hydrochloric acid (HCl), respectively. At the same time, carbon (C) is predominantly transformed into carbon monoxide (CO) and carbon dioxide (CO2). Phase separation is performed using another separator (SEP6), which removes the ash via the bottom stream (S108) and collects the purified syngas in the top stream (S109).
The third stage begins with the purified stream, which is cooled (EXC3) and compressed to 2.5 MPa (COMP4) to achieve optimal conditions for the methanol production reactor (R-MEOH), which, like the two previous ones, is a Gibbs reactor. Methanol synthesis occurs through the hydrogenation of carbon oxides using specific catalysts such as copper oxide and zinc oxide, which also promote the water–gas shift reaction. Consequently, methanol is produced from carbon monoxide and carbon dioxide, as described in Equations (7) and (8).
This final reactor operates under high pressure at 493.15 K, excluding reactions involving methane (CH4) and ammonia. The output stream (S114) undergoes a pressure and temperature reduction process, utilizing a valve and a heat exchanger before being introduced into a flash separator (SEP7), which separates methanol from the residual gases. The bottom stream (S118) contains the desired product, while the residual gases are subjected to a purge (SPLIT1) before being recirculated into the process (S112) to participate in the reaction again.