## 2 Methods  
### Research Apparatus  
Water vapor accumulation and emission tests using the gravimetric method were performed on a DVS VACUUM device (Surface Measurement Systems, UK, Wembley) (Figure 2). It was used to analyze sorption processes in high vacuum conditions. The analyzer works under isothermal and isobaric conditions. Before the measurement, the samples were degassed with a turbomolecular pump for 24 h at 573 K under UHV conditions. This ensured the removal of moisture from the tested materials before the proper measurements. Since the sorption rate strongly depends on temperature [12; 57], measurements were carried out under isothermal conditions. Both pure materials and mixtures were tested at three temperatures: 298 K, 313 K, 333 K, in the relative humidity range of  
Figure 1: Stages of adsorption chiller work cycle. 0% < RH < 100% for the adsorption process and 100% < RH < 0% for desorption, respectively. The Brunauer Emmett Teller (BET) model was used to describe the experimental adsorption/desorption data. DVS VACUUM device (Surface Measurement Systems) is a gravimetric system designed for applications requiring vacuum conditions. Allows obtaining working pressure during the experiment of 10\({}^{-6}\) mbar. The apparatus uses gravimetric analysis, which allows for precise determination of the adsorbent mass change during sorption processes. The adsorbent sample is placed in a vacuum chamber. Air is removed from the measuring space, and vacuum conditions are forced. Under vacuum conditions, the temperature is increased, which allows for degassing the sample and removing the sorbate. After obtaining the set pressure and temperature parameters, the space surrounding the sample is filled with sorbate particles in the form of vapor of substance. The device allows continuous control of the amount of sorbate introduced and removed, which allows dynamic analysis. Water vapor can be generated in the temperature range 293-343 K in conditions up to 90% relative humidity RH. The surface structure of the materials was determined using a low-pressure gas adsorption method (LPA) on an ASAP 2020 (Figure 3). The study consisted of measuring the volume of nitrogen (N\({}_{2}\)) at 77 K that was adsorbed on the surface and in the pore spaces of the samples. The structure of pure SG and CNT samples was studied in the pressure range of 0-0.1 MPa. Based on the sorption equilibrium points, the specific surface area of the monolayer by the Langmuir model (\(SSA_{L}\)), the specific surface area of the multilayer by the BET model (\(SSA_{BET}\)), the pore volume (\(V_{NLDFT}\)), and pore distribution by the NLDFT model were determined. Figure 2: DVS VACUUM Dynamic Dual Vapor/Gas Gravimetric Sorption Analyzer (Surface Measurement Systems). The morphology and chemical composition of CNTs were characterized by scanning electron microscopy (SEM-EDS) on FEI Versa 3D equipped EDAX Apollo XP energy dispersive X-ray spectrometer (EDS). The elemental composition was analyzed for 50 s at accelerating voltages of 10 kV utilizing a spot analysis on the particle center. Thermal characterization of pure materials was performed by DSC-TGA using a Mettler Toledo TGA/DSC 3+ instrument. Samples (\(\sim\)6 mg) were combusted in an air atmosphere at 1123 K, at 10 K/min, in an air flow of 50 mL/min. Alumina crucibles of 70 \(\upmu\)L capacity were used. The ASAP 2020 (Micromerities, Norcross, GA, USA) is used to analyze sorption processes by low-pressure gas adsorption (LPA). The instrument allows precise determination of the volume of adsorbate during sorption processes. The ASAP analyzer consists of two independent vacuum systems and analysis manifolds. Before measurement, samples are subjected to fully automatic degassing with controlled heating time profiles. The sample tube is connected to a buffer chamber, which ensures the isobaric conditions of the adsorption process.