Influence of the Calcination Temperature of Synthetic Gypsum on the Particle Size Distribution and Setting Time of Modified Building Materials

The paper assesses the influence of the calcination temperature of synthetic gypsum binder on the binding properties of innovative gypsum pastes, as well as on masonry and plastering mortars. The calcination process of gypsum binder was carried out at four different temperatures ranging from 170 to 190 ◦C. The specimens for testing were prepared on the basis of the obtained raw material with a constant water to gypsum ratio of w/g = 0.75. It was noted that the calcination temperature influenced the setting time of the gypsum. Based on synthetic gypsum, mixtures of masonry and plastering mortars modified with tartaric acid and Plast Retard were designed. During the experiment, the particle diameter distribution of aqueous suspensions of building and synthetic gypsum particles (before and after calcination) was determined using the Fraunhofer laser method. The dimensions of the obtained artificial gypsum grains did not differ from the diameters of the gypsum grains in the reference sample. On the basis of the conducted research, it was found that the waste synthetic gypsum obtained in the flue gas desulphurization process met the standard conditions related to its setting time. Therefore, it may be a very good construction substitute for natural gypsum, and consequently, it may contribute to environmental protection and the saving and respecting of energy.


Introduction
Gypsum is a commonly used building material. It is characterized by its lower natural radioactivity in the group of mineral construction binding materials, as well as by its quick growth of strength [1]. The development of the construction industry and the growing demand for more and more ecological and perfect building materials has led to the searching for new solutions to improve these materials. Due to growing ecological awareness, new methods of waste management in various branches of industry are being developed.
One of the most important environmental problems is air pollution with sulfur oxides that result from the combustion of fossil fuels. For this reason, measures that aim to reduce the emission of harmful substances generated as a by-product of combustion are a very big challenge. One of the main ways to neutralize the impact of pollutants on the environment is by using the flue gas desulphurization process, the by-product of which is synthetic gypsum. In order to meet social expectations, the pro-ecological construction industry recognizes the possibility of replacing natural gypsum with synthetic gypsum.
Currently, a very broad field of science within innovative and pro-environmental material solutions concerns the properties of synthetic gypsum obtained in the flue gas desulphurization process [7][8][9][10][11]. However, before its commercial use, it is necessary to perform a series of tests and studies. In this area, science and industry strive to obtain construction products with the most suitable expected parameters, e.g., thermal, strength, mechanical or other. A very important property of building materials is their setting time. It is the time from the moment the binder is moistened and mixed, in which the grout maintains plastic properties, until the final material is sufficiently hardened. The setting time depends on the type of binder, and also the amount of mixing water and its temperature [12][13][14][15].
The basic process used in the construction industry for the production of synthetic gypsum is the calcination process. In the entire production process, this stage is the most energy consuming and involves the heating of the substance below its melting point in order to cause a partial chemical decomposition of the compound by removing water from its crystal lattice. In the case of gypsum, it causes the processing of dihydrate calcium sulphate into a semi-aqueous or anhydrous form. The calcination process itself takes place with the use of various methods and calcination boilers [16][17][18][19][20][21][22]. The obtained dihydrate calcium sulphate may undergo internal changes under the influence of temperature ( Figure 1).

Figure 1.
Possible transformations of the dehydration and hydration of synthetic gypsum in the calcination process [23].
The dehydration process takes place successively over a period of time and depends on many factors, mainly including the method of calcination, the granulation of the pure raw material, and the presence of minerals and other chemical compounds. The type of predominant dehydrate phase and the properties of the binder depend on the applied temperature changes. Usually, there are various transition phases in the final product, which correspond to the calcination temperature range. This The dehydration process takes place successively over a period of time and depends on many factors, mainly including the method of calcination, the granulation of the pure raw material, and the presence of minerals and other chemical compounds. The type of predominant dehydrate phase and the properties of the binder depend on the applied temperature changes. Usually, there are various transition phases in the final product, which correspond to the calcination temperature range. This Energies 2020, 13, 5759 3 of 23 effect is influenced by wide equilibrium temperature ranges in the process of the transformation of dihydrate gypsum into semi-aqueous gypsum and anhydrite.
In the process of the dehydration of β phases, the instability of the CaSO 4 -H 2 O system occurs at a temperature of 45 • C. The first intense dehydration of the dihydrate into hemihydrate occurs in the temperature range of 107-170 • C (Figure 1). The transition of the hemihydrate into the unstable phase of anhydrite III in the β phases takes place in the temperature range of 170-180 • C, followed by the occurrence of intense changes at a temperature close to 200 • C. The conversion of anhydrite III into sparingly soluble anhydrite II takes place at a temperature of about 400 • C in the case of theβ hemihydrate. At temperatures above 600 • C, the decomposition of calcium sulphate begins according to reaction (1). CaSO 4 CaO + SO 2 + 0.5O 2 (1) The product obtained from this stage, which contains 2-3% of unbound CaO, is a raw material for the production of estrich gypsum. With a rapid increase in temperature and large grains, non-dehydrated material may remain in the raw material, which can be seen in the analysis of the mineral composition of building gypsum (β hemihydrate). The above factors affect the heterogeneity of products obtained in the calcination process and, consequently, the differentiation of the properties of gypsum binders.
It has been documented that the dehydration process, from the dihydrate phase to the anhydrite II phase, is accompanied by significant changes in the crystal structure Equation (2), and large changes in density from 2.31 to 2.98 g/cm 3 , respectively [23].
Due to its more difficult workability, synthetic gypsum requires the use of various specially selected admixtures to modify its properties. Innovative recipes for masonry and plastering mortars are created experimentally by selecting the components in an optimized way.
The aim of the study was to evaluate the effect of the calcination temperature of synthetic gypsum binder on the binding properties of innovative gypsum pastes, as well as on the properties of masonry and plastering mortars. A63 tartaric acid and a compound delaying the binding-Plast Retard-were used when creating recipes for mortars based on synthetic gypsum that was obtained from flue gas desulphurization. An additional goal was to analyze the grain size of the synthetic gypsum before and after the calcination process and to determine the effect of this process on the grain diameters of the obtained building materials. The authors' intention was also to compare the particle size measurements of the gypsums obtained from flue-gas desulphurization with the results obtained for building gypsum (reference material). The authors of the study assume that construction materials based on synthetic gypsum do not have different properties than materials based on natural gypsum. The use of synthetic gypsum in building materials would have a significant economic impact. Currently, a lot of synthetic gypsum is deposited in flue gas desulphurization plants as waste. Its recycling would bring benefits for environmental engineering, as well as contribute to the reduction of the energy-intensive process of obtaining natural gypsum. Such activities will surely be beneficial for global energy saving and ecology.

Building Gypsum
The material applied during the research was building gypsum (Dolina Nidy, Pinczow). This gypsum is used in construction, renovation and completion works inside buildings. It is used for the production of mortars and prefabricated elements [24]. Gypsum materials, apart from their ability to maintain hygrothermal balance in buildings, are fire resistant, environmentally friendly and almost odorless. Additionally, they can be seen as very good acoustic and thermal materials. Therefore, gypsum plasters applied in rooms are very aesthetic and provide comfort of living. Natural gypsum can be excavated from mines, whereas its synthetic version can be obtained by the chemical synthesis during the flue-gas desulfurization process. Both types have different physical properties and can be used interchangeably in the construction industry.
Natural gypsum is a mineral binding material, which is extracted during the process of partial dehydration of natural gypsum stone (dihydrate calcium sulphate) from an opencast gypsum mine. It is characterized by the quick growth of mechanical strength and short time of binding.
The natural gypsum, which is commercially available and meets the standard requirements, was used as the reference material. The content of calcium sulfate (CaSO 4 ) in the gypsum powder was almost 91%, and the additional ingredients included: CaCO 3 -2.79%, SiO 2 -1.62%, montmorillonite-3.07%, clays-0.79%, and chlorite-0.16%. Table 1 summarizes the basic physical properties of the building materials that were used in the tests. These parameters were obtained from safety data sheets made available by the producer [24].

Synthetic Gypsum
The synthetic gypsum (Nova-gypsum) that was used in the research was obtained using the wet lime method. Currently, there are many known industrial methods for the production of synthetic dihydrate gypsum [25][26][27][28]. The most used flue gas desulphurization method in the world is the wet limestone method that uses limestone (CaCO 3 ) or quicklime (CaO). It involves the absorption of SO 2 in an aqueous suspension of limestone flour. The cooled raw flue gas is directly injected into water, and then redirected to the absorbent where SO 2 is washed out and sulfites are formed. In the next stage, oxidation of sulfite ions takes place and the precipitation of synthetic gypsum dihydrate CaSO 4 2H 2 O occurs. The chemical reaction of the flue gas desulphurization process and the production of synthetic dihydrate gypsum takes place in the following stages: CaO The created gypsum paste is thickened and collected as a powder with a moisture content of about 10%. Harmful impurities are removed from the product by rinsing. Synthetic building gypsum has a similar chemical composition and similar properties to natural gypsum, but mainly in its hardened state. However, its compressive strength is greater than that of natural gypsum (by about 35-40%). It has low grain cohesion (different graining), and is therefore also less workable. It can be recognized by its slightly creamy color. Some of its properties cause many technological problems for industrial recipients, and thus this gypsum, depending on the types of manufactured products, requires the use of various specially selected modifying admixtures. Currently, this gypsum, as is the case with natural gypsum, is used as a full-value material for the production of various products.

Tartaric Acid
Tartaric acid is a product belonging to the group of dicarboxylic hydroxy acids that contain two hydroxyl groups (−OH). It fulfils a number of functions in various areas of life, e.g., in the pharmaceutical and food industries [29][30][31][32][33][34]. In the construction industry, it is used as a retarder in the preparation of gypsum mortars. Tartaric acid is in the form of colorless crystals or white powder, and is almost odorless, strongly sour in taste, stable in air, and hygroscopic at a relative humidity higher than 75%. According to the manufacturer's data, it has the properties listed in Table 2 [35]. Table 2. Properties of the tartaric acid used in the research [35]. The use of tartaric acid increases the plasticity and strength of concrete [36][37][38]. The used A63 tartaric acid (Evimex Ltd., Tomaszów Mazowiecki, Poland) contained a maximum of 1% of particles with a size greater than 0.063 mm in its composition.

Plast Retard
This material belongs to the group of admixtures that delay the binding time of gypsum by slowing down the growth of hydrate crystals. It can be used with natural gypsum, flue-gas gypsum, and phosphogypsum of a low or high quality and with different water to gypsum ratios (w/g). Its use can extend the mixing time of the mixture by up to several hours and reduce the risk of thermal stresses during binding. Plast Retard (Evimex Ltd.) is in the form of a fine, highly water-soluble, hygroscopic, and light-colored powder. Chemically, it is calcium salts of reduced polyamides. Due to its properties [39], mainly its thermal stability up to 300 • C, it can be used in a wide temperature range. It also works very well with other additives, e.g., tartaric acid. The basic properties of this admixture are presented in Table 3. Plast Retard acts as a retarder in the gypsum-water mixture, slowing down the growth of the hydrate crystals. Its activity is characterized by the correlation between setting time and dosage, and it gives excellent performance even at low dosage rates. Generally, Plast Retard is used alone in gypsum formulations, but it is also compatible with citric acid and tartaric acid when being used to obtain a delayed hardening and suitable consistency.

Other Ingredients
In addition to the basic ingredients of innovative masonry and plastering mortars (synthetic gypsum, Plast Retard, tartaric acid), admixtures also include: river sand with a grain diameter of 0-2 mm, methylcellulose, lime flour, perlite, hydrated lime, and water.

Measurements of Particle Diameters
The main assumptions of the Fraunhofer theory are shown in article [40]. In the case when a laser beam hits a single particle, the light diffracts. This phenomenon can be described using the Fraunhofer theory and is possible if the particle fulfills the condition of x 1 (x = πd/λ, d-particle diameter).
Taking into account the assumptions of Babinet and Fraunhofer, Airy described this phenomenon using Relationship (6): where: I 0 -is the intensity of light, θ-is the diffraction angle, F-is the focal length of the lens. When assuming that the sine of the angle θ is very small (sinθ≈θ), the following Relationship (7) is obtained: If the tested sample has a very small concentration of particles, then such a sample meets the condition for a single scattering. Therefore, the above equation can be integrated within the particle size range, which results in the obtaining of the diffraction intensity distribution that is described by the Fredholm integral Equation (8) [40,41]: Due to the mathematical foundations of Fraunhofer, the advanced optical systems, and the development of laser techniques, it was possible to conduct measurements based on the diffractometric method.
The system that is used to analyze optical images consists of the following elements: a laser, an advanced optical system, a measuring cell, lenses, and an image detector. The image of the light diffraction grating, which was formed at the edge of the grains suspended in the water, was recorded and saved by a computer. The diffraction method is commonly used in industry for the purpose of measuring grain diameters, and also as an element of testing the quality of manufactured products in the pharmaceutical, food and construction industries [42][43][44][45].
A detailed description of image processing in a granulometer, as well as a description of the resulting diffraction image, are described in publications [46,47]. It should be mentioned that the identification of the grain diameter involves the measuring of the distance between the strip and the optical axis, as well as the measuring of the brightness of the diffraction strip. From the obtained image, it can be concluded that the greater the distance between the stripe and the optical axis, the smaller the size of the examined grains. It can also be stated that a higher brightness intensity of the stripes correlates with a larger amount of grains with particular dimensions in the entire sample.
An Analysette 22 MicroTec Plus particle size analyzer produced by FRITSCH GmbH (Katowice, Poland) Milling and Sizing, which consists of green and infrared lasers, was applied when analyzing the size of the particles. It uses an inverse Fourier system according to ISO 13320, and has a modular structure that includes a measuring unit and units for the preparation of samples for wet or dry measurements. The particle size analyzer that was applied in the research took measurements of the granulation of the suspension of particles in water. It consisted of two units-a larger one, which was the main measuring part, and a smaller one, which was the dispersing unit. Grains with a diameter within the range between 0.08 and 2100 µm can be measured in the device. Measurements of particle size distribution using the particle size analyzer, a computer, and the diffractometric method are very precise, and the applied apparatus does not require any calibration on the basis of the basic physical properties.

Setting Time Measurement
The setting time of the gypsum materials was tested using the Vicat method in accordance with the guidelines contained in PN-EN 13279-2 [48]. It is a method intended for gypsum plasters in the form of dry mixtures that also contain additives, among others, retard ingredients. It involves the penetration of an immersion cone (with specified dimensions and mass) in the mortar ( Figure 2). The immersion depth of the cone is a measure of the progress of the setting process. A detailed description of the research methodology can be found in [49].

Gypsum Pastes Used in the Research
In the study of gypsum pastes, a constant water to gypsum ratio of w/g = 0.75 was used, which was determined experimentally using the slump test. The test was carried out in accordance with the PN-EN 13279-2 standard, which is used for pastes, mortars and gypsum plasters with a liquid consistency. The tests involve the measuring of the sample's slump diameter. For the purposes of investigating the effect of the gypsum calcination temperature on the setting time of the pastes, four samples were prepared. They contained synthetic gypsum that was obtained at different calcination temperatures: 170, 180, 185 and 190 °C for 7 h. Additionally, for comparison purposes, a reference sample containing building gypsum instead of synthetic gypsum was prepared. In all cases, a slump diameter of 175 mm was obtained. The amounts of ingredients and the results of the slump diameters obtained using the slump test are presented in Table 4.

New Masonry and Plastering Mortars on the Basis of Retardan and A63 Tartaric Acid
Based on the granulation tests and the setting time of the gypsum pastes, recipes for masonry and plastering mortars, which are based on synthetic gypsum and meet the standard requirements, were designed. As was the case with the gypsum pastes, in order to determine the effect of the gypsum binder's calcination temperature on the setting time of the modified masonry and plastering mortars, four types of mortars based on synthetic gypsum, and one reference mortar based on the

Gypsum Pastes Used in the Research
In the study of gypsum pastes, a constant water to gypsum ratio of w/g = 0.75 was used, which was determined experimentally using the slump test. The test was carried out in accordance with the PN-EN 13279-2 standard, which is used for pastes, mortars and gypsum plasters with a liquid consistency. The tests involve the measuring of the sample's slump diameter. For the purposes of investigating the effect of the gypsum calcination temperature on the setting time of the pastes, four samples were prepared. They contained synthetic gypsum that was obtained at different calcination temperatures: 170, 180, 185 and 190 • C for 7 h. Additionally, for comparison purposes, a reference sample containing building gypsum instead of synthetic gypsum was prepared. In all cases, a slump diameter of 175 mm was obtained. The amounts of ingredients and the results of the slump diameters obtained using the slump test are presented in Table 4.

New Masonry and Plastering Mortars on the Basis of Retardan and A63 Tartaric Acid
Based on the granulation tests and the setting time of the gypsum pastes, recipes for masonry and plastering mortars, which are based on synthetic gypsum and meet the standard requirements, were designed. As was the case with the gypsum pastes, in order to determine the effect of the gypsum binder's calcination temperature on the setting time of the modified masonry and plastering mortars, four types of mortars based on synthetic gypsum, and one reference mortar based on the building gypsum, were prepared. Additionally, the mortar recipes were diversified by using two types of gypsum setting retarders (Plast Retard and A63 tartaric acid). The recipes of the prepared mortars are presented in Table 5 for masonry mortars, and in Table 6 for plastering mortars.

Results of Particle Size Distribution
All the studied samples of building materials were characterized by good wettability. During the experimental tests, in all the cases, the power of the pumps was used at 60% capacity, and the power of light and ultrasound at 100%. In the first 10 s of the measurements, the air bubbles were removed and the time it took for each sample to be added to the dispersing part of the device was no longer than 30 s. Each gypsum material was measured three times.
On the basis of the collected measurement data, it was found that very high repeatability was obtained in subsequent measurements for the building gypsum ( Figure 3a) and the synthetic gypsum before calcination (Figure 3b). The distribution of the particle diameter of the synthetic gypsum after the calcination process was not repeatable during the measurements. The first sample contained particles with a diameter of 100-1000 µm, which were not noticeable in the second and third measurements. This indicates the formation of agglomerates, and also the agglomeration of the particles into larger clusters that occur during the calcination process. As a result of the influence of water, there was a division of these particles in the measuring system, which was noticeable in the second and third measurements (Figure 3c).
The synthetic gypsum before the calcination process was characterized by a larger particle size ranging from 10 to 100 µm (Figure 3b) when compared to the building gypsum, which had particles with diameters from 0.1 to 40 µm (Figure 3a). The calcination process (Figure 3c) caused the diameters of the synthetic gypsum to be reduced to values similar to the building gypsum. The influence of the calcination process on the grain size was noticed by the author of paper [50], who presented his views in a photo (Figure 4).
The synthetic gypsum before the calcination process was characterized by a larger particle size ranging from 10 to 100 µ m (Figure 3b) when compared to the building gypsum, which had particles with diameters from 0.1 to 40 µ m (Figure 3a). The calcination process (Figure 3c) caused the diameters of the synthetic gypsum to be reduced to values similar to the building gypsum. The influence of the calcination process on the grain size was noticed by the author of paper [50], who presented his views in a photo (Figure 4).     Schaefer et al. [51] showed that phosphogypsum subjected to the calcination process in the temperature range of 350-650 °C was characterized by particle diameters from 10 to 40 µ m. The authors noticed that the different values of the calcination process temperatures did not significantly affect the obtained diameters of the phosphogypsum. Salih and Hussein [52] obtained gypsum after the calcination and grinding processes that contained particles with a diameter from 0.5 to 45 µ m, and Cakal et al. [53] obtained average particle diameters of 37-41 µ m. The authors of [54] note that gypsum after the calcination process, in order to have appropriate properties for the construction industry, should have particles smaller than 10 µ m in an amount of up to 70%. Klin [1] declares a very good plaster quality if there is 44% of grains with diameters ranging from 0 to 40 µ m. Schaefer et al. [51] showed that phosphogypsum subjected to the calcination process in the temperature range of 350-650 • C was characterized by particle diameters from 10 to 40 µm. The authors noticed that the different values of the calcination process temperatures did not significantly affect the obtained diameters of the phosphogypsum. Salih and Hussein [52] obtained gypsum after the calcination and grinding processes that contained particles with a diameter from 0.5 to 45 µm, and Cakal et al. [53] obtained average particle diameters of 37-41 µm. The authors of [54] note that gypsum after the calcination process, in order to have appropriate properties for the construction industry, should have particles smaller than 10 µm in an amount of up to 70%. Klin [1] declares a very good plaster quality if there is 44% of grains with diameters ranging from 0 to 40 µm.
The results of statistical parameters of all the gypsum materials are presented in the Figures 5-7: diameters of characteristic grains d 10 , d 50 , d 90 , mode and span. The span is described by Equation (9): In the case of the obtained statistical data for the commercial building gypsum (Figure 5a-c), it can be stated that the diameters of the particles that have the highest probability of occurring in this building material are in the range of 1.69-1.76 µm.
The synthetic gypsum before the calcination process had the most particles in the range of 33.69-38.04 µm (Figure 6a-c), while after the calcination process it had the most particles within the range of 1.56-1.99 µm (Figure 7a-c). The experimental results showed that the calcination process caused the reduction of the average grain diameters of the synthetic gypsum to be comparable to the values obtained for the reference sample (building gypsum). Moreover, the D 50 values for the building gypsum and synthetic gypsum after the calcination process were 2.9 and 2.1 µm, respectively, which proves the similar particle size properties of both products. 7: diameters of characteristic grains d10, d50, d90, mode and span. The span is described by Equation    Table 1: (a) 1st measurement, (b) 2nd measurement, (c) 3rd measurement.
In the case of the obtained statistical data for the commercial building gypsum (Figures 5a-c), it can be stated that the diameters of the particles that have the highest probability of occurring in this building material are in the range of 1.69-1.76 µ m.
The synthetic gypsum before the calcination process had the most particles in the range of 33.69 -38.04 µ m (Figure 6a-c), while after the calcination process it had the most particles within the range of 1.56-1.99 µ m (Figure 7a-c). The experimental results showed that the calcination process caused  Table 1: (a) 1st measurement, (b) 2nd measurement, (c) 3rd measurement.
The authors of papers [1,51,52] emphasize the fact that for the proper use of new building materials, particle diameters below 10 µm should constitute a significant part of all the particles in the used gypsum materials. Additionally, Borgwardt [54] points out that the diameters of gypsum particles with dimensions of 10 µm extend the calcination time by five times when compared to particles with dimensions of 1 µm, and also that particles with dimensions of 90 µm extend the calcination time by up to ten times.
In the present study, in the synthetic gypsum that was obtained after the calcination process, 75-80% of the grains have a diameter smaller than that required. The obtained product, derived from flue gas desulphurization and then subjected to thermal treatment, can therefore be a substitute for commercial building gypsum. Figure 8a-c show the results of all the studied building materials, and present the average particle size distribution as a function of grain diameter. the reduction of the average grain diameters of the synthetic gypsum to be comparable to the values obtained for the reference sample (building gypsum). Moreover, the D50 values for the building gypsum and synthetic gypsum after the calcination process were 2.9 and 2.1 µ m, respectively, which proves the similar particle size properties of both products.
The authors of papers [1,51,52] emphasize the fact that for the proper use of new building materials, particle diameters below 10 µ m should constitute a significant part of all the particles in the used gypsum materials. Additionally, Borgwardt [54] points out that the diameters of gypsum particles with dimensions of 10 µ m extend the calcination time by five times when compared to particles with dimensions of 1 µ m, and also that particles with dimensions of 90 µ m extend the calcination time by up to ten times.
In the present study, in the synthetic gypsum that was obtained after the calcination process, 75-80% of the grains have a diameter smaller than that required. The obtained product, derived from flue gas desulphurization and then subjected to thermal treatment, can therefore be a substitute for commercial building gypsum. Figure 8a-c show the results of all the studied building materials, and present the average particle size distribution as a function of grain diameter.  Figure 8. Results of the average particle distribution of the gypsums tested using laser diffraction: (a) building gypsum, (b) synthetic gypsum before calcination, (c) synthetic gypsum after calcination.
The following general relationship was proposed for all the gypsum materials (10): (10) where A and B, are constant equation values.
A very good compatibility of the experimental results with the proposed dependency (10) was obtained in all the cases, which is confirmed by the high values of the R 2 parameter (Table 7).  The following general relationship was proposed for all the gypsum materials (10): where A and B, are constant equation values. A very good compatibility of the experimental results with the proposed dependency (10) was obtained in all the cases, which is confirmed by the high values of the R 2 parameter (Table 7).

The Results of the Setting Time of Gypsum Pastes and Masonry and Plastering Mortars
For the proposed compositions of gypsum pastes (Table 4), measurements of their setting time were made based on the temperature calcination of the synthetic gypsum (Figure 9). In the case of the measurements of the setting time of the modified gypsum samples, they were made three times for a sample made of the same gypsum pastes. The binding time results were identical, and therefore no statistical considerations were made.

The Results of the Setting Time of Gypsum Pastes and Masonry and Plastering Mortars
For the proposed compositions of gypsum pastes (Table 4), measurements of their setting time were made based on the temperature calcination of the synthetic gypsum (Figure 9). In the case of the measurements of the setting time of the modified gypsum samples, they were made three times for a sample made of the same gypsum pastes. The binding time results were identical, and therefore no statistical considerations were made. The pastes made of gypsum obtained in the calcination process at 170 and 180 °C resulted in longer setting times. The higher gypsum calcination temperature shortened the setting time. During the binding process, the primary hydrates gradually occurred in the form of small crystals (crystallization seeds). The greater the degree of their occurrence, the greater the rate of formation of new crystallization seeds. The pastes with the content of gypsum that was obtained at higher calcination temperatures probably contained increased amounts of crystallization seeds, which accelerated the setting process. Doubts would be unambiguously dispelled by using scanning electron microscope (SEM) photos, but they are not, however, the subject of this publication. Such an analysis should be carried out in the future at the level of the microstructure of the samples.
Based on the measurements of the binding times (initial ts and final te) of the tested synthetic gypsum pastes, the relationships ts = f(T) and te = f(T) were determined. tp = − 0.08 T + 20.4 (11) tk = − 0.26 T + 58.5 (12) It was noticed that the setting time was shortened with an increasing calcination temperature of raw gypsum (Figure 10). The beginning of binding for gypsum calcined at 170 °C started in the 7th minute of the setting process and was completed in the 14th minute. However, for gypsum calcined at 190 °C, these times were 5.5 and 9 min, respectively. It is also important that the entire setting process was shortened with the increase of the gypsum calcination temperature. For gypsum calcined at 170 °C, the time between the start and the end of the setting process (Δt = tk−tp) was Δt170 = 7 min. In turn, for gypsum calcined at 190 °C, it was only Δt190 = 3.5 min. The pastes made of gypsum obtained in the calcination process at 170 and 180 • C resulted in longer setting times. The higher gypsum calcination temperature shortened the setting time. During the binding process, the primary hydrates gradually occurred in the form of small crystals (crystallization seeds). The greater the degree of their occurrence, the greater the rate of formation of new crystallization seeds. The pastes with the content of gypsum that was obtained at higher calcination temperatures probably contained increased amounts of crystallization seeds, which accelerated the setting process. Doubts would be unambiguously dispelled by using scanning electron microscope (SEM) photos, but they are not, however, the subject of this publication. Such an analysis should be carried out in the future at the level of the microstructure of the samples.
Based on the measurements of the binding times (initial t s and final t e ) of the tested synthetic gypsum pastes, the relationships t s = f(T) and t e = f (T) were determined. t p = − 0.08 T + 20.4 (11) t k = − 0.26 T + 58.5 (12) It was noticed that the setting time was shortened with an increasing calcination temperature of raw gypsum (Figure 10). The beginning of binding for gypsum calcined at 170 • C started in the 7th minute of the setting process and was completed in the 14th minute. However, for gypsum calcined at 190 • C, these times were 5.5 and 9 min, respectively. It is also important that the entire setting process was shortened with the increase of the gypsum calcination temperature. For gypsum calcined at 170 • C, the time between the start and the end of the setting process (∆t = tk−tp) was ∆t 170 = 7 min. In turn, for gypsum calcined at 190 • C, it was only ∆t 190 = 3.5 min. The setting process of the plaster was very fast, and even violent. The beginning of gypsum binding took place just a few minutes after mixing the binder with water, while the end of setting did not exceed 12-14 min. A rapid hydration process adversely affects the microstructure of gypsum material. Therefore, while designing the composition of gypsum mortar mixes (Table 5) and plaster mortar mixes ( Table 6), additives that delay the setting process were used. These additives reduced the gypsum solubility and, as a result, extended the setting time. In all the proposed cases of gypsum masonry and plastering mortars, which were based on flue gas desulfurization gypsum, setting times of about 120 min were obtained. This was compliant with the standard requirements for the proposed building materials [48]. The composites show the effect of tartaric acid and Plast Retard on the setting time of building mixes (Table 8).  The setting process of the plaster was very fast, and even violent. The beginning of gypsum binding took place just a few minutes after mixing the binder with water, while the end of setting did not exceed 12-14 min. A rapid hydration process adversely affects the microstructure of gypsum material. Therefore, while designing the composition of gypsum mortar mixes (Table 5) and plaster mortar mixes ( Table 6), additives that delay the setting process were used. These additives reduced the gypsum solubility and, as a result, extended the setting time. In all the proposed cases of gypsum masonry and plastering mortars, which were based on flue gas desulfurization gypsum, setting times of about 120 min were obtained. This was compliant with the standard requirements for the proposed building materials [48]. The composites show the effect of tartaric acid and Plast Retard on the setting time of building mixes (Table 8). An additional test, not included in the standards, was the determination of the workability time of the mortars. The parameter is the time during which the mortar has not yet started to set, and therefore it shows the ability to easily and accurately fill the forms, while at the same time maintaining homogeneity. During this time, it is possible to put it on a wall and make any corrections resulting from errors arising during construction works. This is a very important feature of fresh gypsum mortars, which translates into the quality of already hardened composites and the products that are made of them. Figures 11 and 12 additionally summarize the relationship between the setting time and workability of the masonry and plastering mortars that were modified with tartaric acid and Plast Ret in a function of the synthetic gypsum calcination temperature. The figures have the calculated value of 5% error bars marked.
During the comparison of the setting times of the masonry mortars, it was shown that all the mortars containing synthetic gypsum and Plast Retard had a longer workability time when compared to the mortar based on building gypsum. The mortars that contained gypsum, which was obtained in the calcination process at the temperature of 180 • C, had the longest workability time. With the use of A63 type tartaric acid, most of the proposed mortars also achieved a longer workability time. In this case, the longest workability was obtained for the composite based on gypsum calcined at 180 • C ( Figure 11).
Energies 2020, 13, x FOR PEER REVIEW 17 of 22 therefore it shows the ability to easily and accurately fill the forms, while at the same time maintaining homogeneity. During this time, it is possible to put it on a wall and make any corrections resulting from errors arising during construction works. This is a very important feature of fresh gypsum mortars, which translates into the quality of already hardened composites and the products that are made of them. Figures 11 and 12 additionally summarize the relationship between the setting time and workability of the masonry and plastering mortars that were modified with tartaric acid and Plast Ret in a function of the synthetic gypsum calcination temperature. The figures have the calculated value of 5% error bars marked.
During the comparison of the setting times of the masonry mortars, it was shown that all the mortars containing synthetic gypsum and Plast Retard had a longer workability time when compared to the mortar based on building gypsum. The mortars that contained gypsum, which was obtained in the calcination process at the temperature of 180 °C, had the longest workability time. With the use of A63 type tartaric acid, most of the proposed mortars also achieved a longer workability time. In this case, the longest workability was obtained for the composite based on gypsum calcined at 180 ˚C ( Figure 11). Figure 11. Relationships between the setting times and workability of masonry mortars modified with tartaric acid and Plast Ret as a function of the synthetic gypsum calcination temperature, which was calculated with an error bar value of 5%.
When comparing the setting times of the plastering mortars, it was found that when Plast Retard was used, all the mortars with synthetic gypsum had a longer or comparable workability time to the reference mortar with the building gypsum. When using A63 type tartaric acid, all the mortars were characterized by a constant value of workability time reaching 90 min ( Figure 12). Figure 11. Relationships between the setting times and workability of masonry mortars modified with tartaric acid and Plast Ret as a function of the synthetic gypsum calcination temperature, which was calculated with an error bar value of 5%.
When comparing the setting times of the plastering mortars, it was found that when Plast Retard was used, all the mortars with synthetic gypsum had a longer or comparable workability time to the reference mortar with the building gypsum. When using A63 type tartaric acid, all the mortars were characterized by a constant value of workability time reaching 90 min ( Figure 12).
Energies 2020, 13, x FOR PEER REVIEW 18 of 22 Figure 12. Relationships between the setting times and workability of plastering mortars modified with tartaric acid and Plast Ret as a function of the synthetic gypsum calcination temperature, which was calculated with an error bar value of 5%.
The authors of paper [55] stated that due to the obtained short gypsum setting times, it was necessary to add tartaric acid to mixes with building gypsum. The amount of retarder was empirically selected and determined to be 0.16% of the total dry weight. Sing and Garg [56] also used tartaric acid as a setting retarder for gypsum plasters. They noticed that the used chemicals not only influenced the setting time, but also changed the compressive strength and microstructure of the plaster.
The above parameters are strongly influenced by the pH of the mortar. It was noticed that the pH of the mortar affected the strength of the materials, and the retardation factor was not directly related to the strength of the obtained composites. It was shown that the morphology of the hardened gypsum plaster depends, to a significant extent, on the pH value of the water and the added retarder, and that the maximum compressive strength was achieved when the pH was equal to 7.
In recent years, many research centers have dealt with the influence of the following chemical compounds on setting times: tartaric acid, sodium tartrate, salicylic acid, melamine, sucrose, white cement, sodium triphosphate, citric acid, black tea, and sodium polyphosphate [12,13,57,58]. The results of their work showed that all types of retarders had a different effect on building gypsum, and at the same time they also all had a different effect on gypsum strength.
Paper [14] presents a study of the influence of a composite modifying admixture, which consists of slaked lime and a superplasticizer, on the strength properties and specificity of the shaping of the binder's structure. The compressive strength of the samples made of the modified binders ranged from 20 to 24 MPa, and the flexural strength from 10 to 12 MPa after 28 days. Strength tests of modified gypsum-based building materials are very important from the point of view of construction engineers. The authors of this publication are currently planning research concerning the strength of gypsum materials that are based on synthetic gypsum obtained from flue gas desulphurization.
In turn, the authors of paper [59] analyzed the influence of thermal insulation material on the energy and environmental efficiency of a building. The building was constructed while taking into account the principles of sustainable development, both in terms of its design and technical solutions. In order to assess the impact of the thermal insulation material, various partition configurations were considered, and the original material (glass wool) was replaced with synthetic (polystyrene, polystyrene) and natural materials (wood fiber and kenaf). Moreover, the authors of [60] made improvements to wooden structures with regards to the following: the comfort of use, energy savings, or more broadly speaking, sustainable development. In the context of papers [59,60], it would be advisable to carry out tests of partitions made of materials based on synthetic gypsum (proposed in this paper) with regards to their thermal and mechanical properties. More advanced construction technologies enable the addition of photocatalysts to gypsum, e.g., TiO2, in order to obtain a self-cleaning building material and a material with high photocatalytic properties [61]. The authors of paper [55] stated that due to the obtained short gypsum setting times, it was necessary to add tartaric acid to mixes with building gypsum. The amount of retarder was empirically selected and determined to be 0.16% of the total dry weight. Sing and Garg [56] also used tartaric acid as a setting retarder for gypsum plasters. They noticed that the used chemicals not only influenced the setting time, but also changed the compressive strength and microstructure of the plaster.
The above parameters are strongly influenced by the pH of the mortar. It was noticed that the pH of the mortar affected the strength of the materials, and the retardation factor was not directly related to the strength of the obtained composites. It was shown that the morphology of the hardened gypsum plaster depends, to a significant extent, on the pH value of the water and the added retarder, and that the maximum compressive strength was achieved when the pH was equal to 7.
In recent years, many research centers have dealt with the influence of the following chemical compounds on setting times: tartaric acid, sodium tartrate, salicylic acid, melamine, sucrose, white cement, sodium triphosphate, citric acid, black tea, and sodium polyphosphate [12,13,57,58]. The results of their work showed that all types of retarders had a different effect on building gypsum, and at the same time they also all had a different effect on gypsum strength.
Paper [14] presents a study of the influence of a composite modifying admixture, which consists of slaked lime and a superplasticizer, on the strength properties and specificity of the shaping of the binder's structure. The compressive strength of the samples made of the modified binders ranged from 20 to 24 MPa, and the flexural strength from 10 to 12 MPa after 28 days. Strength tests of modified gypsum-based building materials are very important from the point of view of construction engineers. The authors of this publication are currently planning research concerning the strength of gypsum materials that are based on synthetic gypsum obtained from flue gas desulphurization.
In turn, the authors of paper [59] analyzed the influence of thermal insulation material on the energy and environmental efficiency of a building. The building was constructed while taking into account the principles of sustainable development, both in terms of its design and technical solutions. In order to assess the impact of the thermal insulation material, various partition configurations were considered, and the original material (glass wool) was replaced with synthetic (polystyrene, polystyrene) and natural materials (wood fiber and kenaf). Moreover, the authors of [60] made improvements to wooden structures with regards to the following: the comfort of use, energy savings, or more broadly speaking, sustainable development. In the context of papers [59,60], it would be advisable to carry out tests of partitions made of materials based on synthetic gypsum (proposed in this paper) with Energies 2020, 13, 5759 20 of 23 regards to their thermal and mechanical properties. More advanced construction technologies enable the addition of photocatalysts to gypsum, e.g., TiO 2 , in order to obtain a self-cleaning building material and a material with high photocatalytic properties [61].
An important aspect, apart from the mechanical properties, is the search for composites with low thermal conductivity values. Very often, the improvement of thermal properties deteriorates the mechanical properties of materials. A great challenge for scientists is to obtain a material with very good mechanical and thermal properties.
There are current trends in the construction industry of finding new alternatives to traditional functional admixtures for gypsum. Attempts have been made to invent a green and sustainable technology for obtaining innovative composite materials. This approach is conducive to the development of the construction industry towards ecology, energy efficiency and the broadly understood area of energy conservation.

Conclusions
The main conclusions of this study are:

•
The grain size distribution of the synthetic gypsum before the calcination process differed from that of commercial building gypsum. The synthetic gypsum before the calcination process was characterized by a larger share of particle size within the diameter range of 10-100 µm when compared to the building gypsum, which had particles with diameters from 0.1 to 40 µm. The calcination process caused the grains to break up into smaller diameters. Thanks to this, it was possible to use them when creating masonry and plastering mortars.

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The received statistical parameters of the grain diameters of the synthetic gypsum obtained in the calcination process did not differ from the parameters of the building gypsum. The research allowed the grain diameters of the ecological gypsum in complex multiphase systems, such as pastes and mortars, to be assessed.

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Based on the study of gypsum pastes, for all the samples, a generalized dependence of the mean particle size distribution with regards to the diameter of the tested samples was proposed.

•
Pastes made of gypsum that was obtained in the calcination process at 170 and 180 • C resulted in longer setting times when compared to the reference sample that was made of building gypsum. The higher gypsum calcination temperature caused the shortening of the setting time. Correlations that determine the initial and final setting time as a function of calcination temperature were proposed for the tested synthetic gypsums.

•
Masonry and plastering mortars based on the synthetic gypsum with the addition of A63 tartaric acid or Plast Retard caused the setting time to be extended to the expected standard values of 2 h, and can be successfully used in innovative building composites. The workability time of all the proposed modified masonry and plastering mortars was nearly equal to 90 min.
Funding: This research was funded by Warsaw University of Technology. Grant supporting research activities for employees of the Warsaw University of Technology in the discipline of Civil Engineering and Transport.