# Solid-Liquid Phase Diagram of the Binary System Octadecanoic Acid and Octadecanol and the Thermal Chemical Property of the Composition at Eutectic Point

Authors: Can Liu; Kaiyu Zhao; Yafei Guo; Liping Guo; Tianlong Deng
Journal: Journal of Chemistry
 (2020)

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## Abstract

Phase diagram is a powerful tool to guide the exploitation of thermal energy materials. Heat storage technology of phase-change material (PCM) was widely used to solve major energy utilization problems on large energy consumption and low utilization efficiency. In this work, a novel solid-liquid phase diagram of the binary system octadecanoic acid (C18-acid) + octadecanol (C18-OH) was investigated using the differential scanning calorimeter (DSC). The phase-change temperature and phase-change enthalpies against the composition of C18-acid and C18-OH were determined experimentally, and then the binary phase diagram of T–X (X expresses the mass fraction of C18-OH in the two components of C18-acid and C18-OH) was established for the first time. The phase diagram belongs to a binary simple system with one eutectic point, and the content of C18-OH at eutectic point is 0.4 in mass fraction. Neither solid solution nor copolymer was formed. The thermal chemical properties on the phase-change latent heat (Q), phase-change temperature (Tp), and the thermal conductivity (λ) for the composition at the eutectic point of the binary system are 198.7 J·g−1, 44.2°C, and 0.2352 W·m−1·K−1, respectively. This result indicates that the material at eutectic point has a great potential to be used as energy storage material for supply of heat and scouring bath.


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## Body

## 1. Introduction

As the rising demand for energy from the growing population, the fossil fuels have been largely consumed, which seriously caused the environmental pollution and emission of greenhouse gases into the atmosphere [1]. As a consequence, a variety of renewable energy sources, such as wind, solar, tidal, geothermal, and hydrothermal energy, have been developed by providing large energy reserves and reversible energy generation by reducing of gas emissions [2, 3]. Although renewable sources of energy such as solar energy are considered the most promising renewable energy sources, there are also some limitations, such as intermittent (because solar lighting is not available at night) and uncertainty (climate dependence) [4]. In order to avoid these limitations, the sustainable, reliable, and efficient energy storage systems have been developed as energy reserves. The occurrence of phase-change materials (PCMs) provides a suitable settlement for the problem of intermittent solar energy [5, 6].Phase-change materials (PCMs) have many attractive characteristics, such as high storage density in a small temperature region, compact energy storage systems under isothermal conditions, and high heat of fusion, which are considered to be the most effective methods actively pursued. In the pure temperature range, the PCM is able to hoard or release a large amount of latent heat during solid-liquid, liquid-gas, or solid-solid phase transformation [7]. PCMs were widely used for different heating (or cooling) functions in buildings, heat insulation panels for electronic products, power generation system, temperature controlling textiles, solar photovoltaic, and food storage for their excellent characteristics [8–13]. On the basis of the chemical properties of PCM, they are divided into inorganic and organic PCM [14]. Inorganic PCM shows good flame retardancy, high thermal conductivity, high heat of fusion, and large volume heat storage density (250–400 kg·dm−3) [15], due to the poorly cyclic stability of inorganic PCMs; the organic PCMs received tremendous attention nowadays for their advantages of high energy storage density, small corrosivity, no (or slight) supercooling, and no phase segregation on the application of thermal cycles [8]. However, using individual organic material for preparation has a limitation to realize the comfort temperature demands such as heating/cooling of buildings and textiles due to their fixed phase transition temperature. These problems could be solved through blending two or more organic components, until each of the components would have one sharp melting and freezing peak temperatures, and eutectic temperature [16]. Zhao et al. [17] reported a series of binary eutectic fatty acids and revealed a reasonable thermal performance on TES applications. Li et al. [18] plotted a phase diagram for a sequence of binary and ternary eutectic fatty acids derived from four organic PCMs (stearic acid, palmitic acid, myristic acid, and lauric acid) and revealed their phase-change transition properties. However, the organic PCMs, C18-acid and C18-OH mixtures, have not been reported in the references.In this work, a novel solid-liquid eutectic composite material prepared by C18-acid and C18-OH was developed using DSC. The phase-change temperature and phase-change enthalpies against the composition of C18-acid and C18-OH were determined experimentally, and then the binary phase diagram of C18-acid and C18-OH was established. The phase diagram belongs to a binary simple system with one eutectic point, and thermal performances of the eutectic point such as phase-change temperature, latent heat, and thermal conductivity were investigated systematically.


## 2. Experiment

### 2.1. Reagents and Apparatus

The analytical reagents used in this experiment are listed in Table1 and have not been further purified.Table 1
Chemicals used in this work.
RegentSourcesCAS reg. no.Purity in mass fractionC18-acidTianjin Guangfu Development Co., Ltd.57-11-4≥0.980C18-OHTianjin Ketong Chemical Reagent Co., Ltd.112-92-5≥0.990The differential scanning calorimeter (DSC 200 F3, Netzsch Instrument Inc., Germany) was used to measure the melting temperatures with an uncertainty of ±0.01 K as well as latent heat of phase-change materials with an uncertainly of ±0.2 J·g−1. The thermal conductivity analyzer (TC3000E, Xi’an Xiaxi Electronic Technology Co., Ltd, China) is a thermal conductivity tester with a transient hot-line method with the accuracy within 3%. The weight was measured by the analytical balance (AL204, Mettler-Toledo Instruments (Shanghai) Co., Ltd. China) with an accuracy of 0.1 mg and a weighing range from 0 to 210 g. The Fourier transform infrared spectrometer (FT-IR, Tensor 27, Brooke Optics, Germany) was used to infer the structure of compounds with the resolution of 1 to 0.4 cm−1 and the absorption accuracy of 0.01%.


### 2.2. Synthesis of PCMs

The PCMs were prepared using C18-acid and C18-OH as the based materials with different mass ratio. The solid compositions of C18-acid and C18-OH with different proportions were heated to completely melt at 80°C in an oil bath and then stirred for 10 minutes. The PCMs were finally obtained by cooling down to the room temperature.


### 2.3. Latent Heat Analysis

The phase-change temperature and enthalpies against the different composition of C18-acid and C18-OH were determined to establish solid-liquid phase diagram of the binary system C18-acid and C18-OH. On the basis of the ASTM D2766-09 and E792-06 standard test methods, the differential scanning calorimeter (DSC 200 F3, Netzsch Instrument Inc., Germany) was used to test specific heat, melting, and crystallizing enthalpies (latent heat) of the binary subsystem [19–22]. In this work, samples were heated and cooled between 5 and 80°C at a rate of 10 K·min−1 [23, 24]. The temperature and enthalpy were calibrated using a series of standard materials including naphthalene, indium, tin, lead, and zinc under an inert argon atmosphere at 20 ml·min−1. Then, the DSC heating and cooling curves were obtained. In order to prevent the influence of uneven distribution of samples in the crucible, each composition was tested in triplicate, and the average was taken.


### 2.4. Thermal Conductivity Test

The transient probe method [25] was selected to measure the thermal conductivities of PCM with the temperature of 27°C and the relative humidity (RH) of 41% by using the thermal conductivity analyzer with the accuracy of 1%. Experiment was carried out three times continuously, and the average value was taken. The conductivity as a function of temperature and time can be expressed as follows:(1)λ=q⋅lnt2/t14πT2−T1,where λ is the thermal conductivity of the sample tested; q is the generated heat per unit length of the sample/time; t1 and t2 are the onset and final measured time lengths; and T1 and T2 are the temperatures at t1 and t2, respectively.


### 2.5. Fourier Infrared Characterization

The FT-IR was used to infer the structure of compounds with the resolution of 1 to 0.4 cm−1 as well as the absorption accuracy of ±0.0001. The dried phase-change material and KBr were ground at a mass ratio of 1 : 100; after that, the material was pressed into a transparent sheet at 8–10 MPa and subjected to infrared spectroscopy in the range of 400–4000 cm−1.


## 2.1. Reagents and Apparatus

The analytical reagents used in this experiment are listed in Table1 and have not been further purified.Table 1
Chemicals used in this work.
RegentSourcesCAS reg. no.Purity in mass fractionC18-acidTianjin Guangfu Development Co., Ltd.57-11-4≥0.980C18-OHTianjin Ketong Chemical Reagent Co., Ltd.112-92-5≥0.990The differential scanning calorimeter (DSC 200 F3, Netzsch Instrument Inc., Germany) was used to measure the melting temperatures with an uncertainty of ±0.01 K as well as latent heat of phase-change materials with an uncertainly of ±0.2 J·g−1. The thermal conductivity analyzer (TC3000E, Xi’an Xiaxi Electronic Technology Co., Ltd, China) is a thermal conductivity tester with a transient hot-line method with the accuracy within 3%. The weight was measured by the analytical balance (AL204, Mettler-Toledo Instruments (Shanghai) Co., Ltd. China) with an accuracy of 0.1 mg and a weighing range from 0 to 210 g. The Fourier transform infrared spectrometer (FT-IR, Tensor 27, Brooke Optics, Germany) was used to infer the structure of compounds with the resolution of 1 to 0.4 cm−1 and the absorption accuracy of 0.01%.


## 2.2. Synthesis of PCMs

The PCMs were prepared using C18-acid and C18-OH as the based materials with different mass ratio. The solid compositions of C18-acid and C18-OH with different proportions were heated to completely melt at 80°C in an oil bath and then stirred for 10 minutes. The PCMs were finally obtained by cooling down to the room temperature.


## 2.3. Latent Heat Analysis

The phase-change temperature and enthalpies against the different composition of C18-acid and C18-OH were determined to establish solid-liquid phase diagram of the binary system C18-acid and C18-OH. On the basis of the ASTM D2766-09 and E792-06 standard test methods, the differential scanning calorimeter (DSC 200 F3, Netzsch Instrument Inc., Germany) was used to test specific heat, melting, and crystallizing enthalpies (latent heat) of the binary subsystem [19–22]. In this work, samples were heated and cooled between 5 and 80°C at a rate of 10 K·min−1 [23, 24]. The temperature and enthalpy were calibrated using a series of standard materials including naphthalene, indium, tin, lead, and zinc under an inert argon atmosphere at 20 ml·min−1. Then, the DSC heating and cooling curves were obtained. In order to prevent the influence of uneven distribution of samples in the crucible, each composition was tested in triplicate, and the average was taken.


## 2.4. Thermal Conductivity Test

The transient probe method [25] was selected to measure the thermal conductivities of PCM with the temperature of 27°C and the relative humidity (RH) of 41% by using the thermal conductivity analyzer with the accuracy of 1%. Experiment was carried out three times continuously, and the average value was taken. The conductivity as a function of temperature and time can be expressed as follows:(1)λ=q⋅lnt2/t14πT2−T1,where λ is the thermal conductivity of the sample tested; q is the generated heat per unit length of the sample/time; t1 and t2 are the onset and final measured time lengths; and T1 and T2 are the temperatures at t1 and t2, respectively.


## 2.5. Fourier Infrared Characterization

The FT-IR was used to infer the structure of compounds with the resolution of 1 to 0.4 cm−1 as well as the absorption accuracy of ±0.0001. The dried phase-change material and KBr were ground at a mass ratio of 1 : 100; after that, the material was pressed into a transparent sheet at 8–10 MPa and subjected to infrared spectroscopy in the range of 400–4000 cm−1.


## 3. Results and Discussion

### 3.1. Phase Diagram of Binary System C18-Acid + C18-OH

Figure1 shows the comparison of heating and cooling DSC curves of the C18-acid + C18–OH binary system with different mass ratios.Figure 1
Comparison of heating (a) and cooling (b) DSC curves of the binary system of C18-acid and C18-OH.
(a)(b)C18-OH has two different crystal forms, and C18-acid has three different crystal forms of A, B, and C [26, 27]. The melting points between the different crystal forms of the two substances are very close [28]. Therefore, there is a solid-solid transition in the two substances during the melting process and both of them have a large melting range and a wide peak shape as shown in Figure 1(a).The temperatures of the peak of the endotherms and enthalpies extracted from Figure1(a) are listed in Table 2.Table 2
Temperatures and enthalpies of melting of the binary system of C18-acid + C18-OH (from the heating scan)a.
Mass fraction (C18–OH)Temperature,Tp (°C)Peak enthalpy (J·g−1)Total enthalpy (J·g−1)FirstSecondThirdFirstSecondThird0.0052.6——203.3——203.30.1050.1——193.9——193.90.2048.6——223.7——223.70.3047.1——183.4——183.40.3545.6——157.0——157.00.4044.2——198.7——198.70.4545.8——171.5——171.50.5047.9——213.5——213.50.6049.8——200.2——200.20.7051.5——213.2——213.20.8053.2——203.4——203.40.9055.0——43.9138.7—182.61.0057.2——254.6——254.6aThe differential scanning calorimeter was employed in the measurement with an uncertainty of ±0.01 K as well as latent heat with an uncertainly of ±0.2 J·g−1.Taking the phase-change temperature as the longitudinal coordinate and the mass fraction of C18–OH as the transverse coordinate, the solid-liquid phase diagram of the binary system (C18-acid + C18-OH) is shown in Figure 2.Figure 2
Phase diagram of the binary system (C18-OH + C18-acid).It could clearly see from Figure2 that the binary system (C18-acid + C18-OH) was considered as a simple eutectic system, and the melting point decreased with the increasing of the mass fraction of C18-OH at the beginning. However, when the mass fraction of C18-OH reaches 0.4, the melting point of the system increases with the rise of the mass fraction of C18-OH. The phase-change material with the lowest eutectic point has a short melting range, a stable melting point, and the composition not changed with temperature [29–32]. It indicated that the phase diagram belong to a binary simple system with one eutectic point, and the content of C18-OH at eutectic point is 0.4 in mass fraction. It can be seen from Table 2 that the phase-change temperature and phase-change latent heat at the eutectic point are 44.2°C and 198.7 J·g−1, respectively.The liquids of the binary system can be calculated by Schroeder formula [33] (formula (2)), and the experimental and calculated results are shown in Table 3 and plotted in Figure 3:(2)Lnx=ΔHmR1Tm−1T.Table 3
Comparison of the melting temperature (from the second heating scan) between the experimental and calculated valuesa.
Mass fraction (C18-OH) (%)Temperature,Tp (°C)ΔTb (°C)Experiment valueCalculated value052.652.601050.150.90.82048.649.10.53047.147.00.13545.645.90.44044.244.70.54545.847.31.55047.948.60.76049.850.817051.552.71.28053.254.41.29055.055.90.910057.257.20aThe differential scanning calorimeter was employed in the measurement with an uncertainty of ±0.01 K as well as latent heat with an uncertainly of ±0.2 J·g−1; bΔT is the absolute value of the difference between the experimental temperature and the calculated temperature.Figure 3
Comparison of phase diagrams between the calculated and experimental values.It can be seen from Table3 and Figure 3 that the calculated temperature of phase transition at eutectic point is 0.5°C higher than that of the experimental value. Moreover, the difference between the calculated value and the experimental value also increases with the increase of the mass fraction of C18-OH, which may be due to the existence of solid-solid phase transition.The pure materials of C18-acid and C18-OH and the phase transition materials at the lowest eutectic point were characterized by infrared spectroscopy. It can be seen from Figure 4 that there is no new bond at the lowest eutectic point of the C18-acid-C18-OH binary system, and the binding mode of the two materials is physical combination. Neither solid solution nor copolymer formed.Figure 4
FT-IR spectrum of C18-acid, C18-OH, and the eutectic point PCM.


### 3.2. Thermal Conductivity Test of the Eutectic Point PCM

The thermal conductivity of the eutectic point PCM was tested three times continuously, and the average value was taken. It can be seen from Table4 that the thermal conductivity coefficient of the phase-change material is 0.2352 W·m−1·K−1.Table 4
Thermal conductivity of PCM at the eutectic pointa.
Sample nameTest temperature,T (oC)λ (W·m−1·K−1)λ¯ (W·m−1·K−1)Phase-change material31.510.23530.235231.500.234731.460.2356aThe thermal conductivity tester was employed in the measurement with an accuracy of 3%.


## 3.1. Phase Diagram of Binary System C18-Acid + C18-OH

Figure1 shows the comparison of heating and cooling DSC curves of the C18-acid + C18–OH binary system with different mass ratios.Figure 1
Comparison of heating (a) and cooling (b) DSC curves of the binary system of C18-acid and C18-OH.
(a)(b)C18-OH has two different crystal forms, and C18-acid has three different crystal forms of A, B, and C [26, 27]. The melting points between the different crystal forms of the two substances are very close [28]. Therefore, there is a solid-solid transition in the two substances during the melting process and both of them have a large melting range and a wide peak shape as shown in Figure 1(a).The temperatures of the peak of the endotherms and enthalpies extracted from Figure1(a) are listed in Table 2.Table 2
Temperatures and enthalpies of melting of the binary system of C18-acid + C18-OH (from the heating scan)a.
Mass fraction (C18–OH)Temperature,Tp (°C)Peak enthalpy (J·g−1)Total enthalpy (J·g−1)FirstSecondThirdFirstSecondThird0.0052.6——203.3——203.30.1050.1——193.9——193.90.2048.6——223.7——223.70.3047.1——183.4——183.40.3545.6——157.0——157.00.4044.2——198.7——198.70.4545.8——171.5——171.50.5047.9——213.5——213.50.6049.8——200.2——200.20.7051.5——213.2——213.20.8053.2——203.4——203.40.9055.0——43.9138.7—182.61.0057.2——254.6——254.6aThe differential scanning calorimeter was employed in the measurement with an uncertainty of ±0.01 K as well as latent heat with an uncertainly of ±0.2 J·g−1.Taking the phase-change temperature as the longitudinal coordinate and the mass fraction of C18–OH as the transverse coordinate, the solid-liquid phase diagram of the binary system (C18-acid + C18-OH) is shown in Figure 2.Figure 2
Phase diagram of the binary system (C18-OH + C18-acid).It could clearly see from Figure2 that the binary system (C18-acid + C18-OH) was considered as a simple eutectic system, and the melting point decreased with the increasing of the mass fraction of C18-OH at the beginning. However, when the mass fraction of C18-OH reaches 0.4, the melting point of the system increases with the rise of the mass fraction of C18-OH. The phase-change material with the lowest eutectic point has a short melting range, a stable melting point, and the composition not changed with temperature [29–32]. It indicated that the phase diagram belong to a binary simple system with one eutectic point, and the content of C18-OH at eutectic point is 0.4 in mass fraction. It can be seen from Table 2 that the phase-change temperature and phase-change latent heat at the eutectic point are 44.2°C and 198.7 J·g−1, respectively.The liquids of the binary system can be calculated by Schroeder formula [33] (formula (2)), and the experimental and calculated results are shown in Table 3 and plotted in Figure 3:(2)Lnx=ΔHmR1Tm−1T.Table 3
Comparison of the melting temperature (from the second heating scan) between the experimental and calculated valuesa.
Mass fraction (C18-OH) (%)Temperature,Tp (°C)ΔTb (°C)Experiment valueCalculated value052.652.601050.150.90.82048.649.10.53047.147.00.13545.645.90.44044.244.70.54545.847.31.55047.948.60.76049.850.817051.552.71.28053.254.41.29055.055.90.910057.257.20aThe differential scanning calorimeter was employed in the measurement with an uncertainty of ±0.01 K as well as latent heat with an uncertainly of ±0.2 J·g−1; bΔT is the absolute value of the difference between the experimental temperature and the calculated temperature.Figure 3
Comparison of phase diagrams between the calculated and experimental values.It can be seen from Table3 and Figure 3 that the calculated temperature of phase transition at eutectic point is 0.5°C higher than that of the experimental value. Moreover, the difference between the calculated value and the experimental value also increases with the increase of the mass fraction of C18-OH, which may be due to the existence of solid-solid phase transition.The pure materials of C18-acid and C18-OH and the phase transition materials at the lowest eutectic point were characterized by infrared spectroscopy. It can be seen from Figure 4 that there is no new bond at the lowest eutectic point of the C18-acid-C18-OH binary system, and the binding mode of the two materials is physical combination. Neither solid solution nor copolymer formed.Figure 4
FT-IR spectrum of C18-acid, C18-OH, and the eutectic point PCM.


## 3.2. Thermal Conductivity Test of the Eutectic Point PCM

The thermal conductivity of the eutectic point PCM was tested three times continuously, and the average value was taken. It can be seen from Table4 that the thermal conductivity coefficient of the phase-change material is 0.2352 W·m−1·K−1.Table 4
Thermal conductivity of PCM at the eutectic pointa.
Sample nameTest temperature,T (oC)λ (W·m−1·K−1)λ¯ (W·m−1·K−1)Phase-change material31.510.23530.235231.500.234731.460.2356aThe thermal conductivity tester was employed in the measurement with an accuracy of 3%.


## 4. Conclusion

A novel solid-liquid eutectic composite material prepared by C18-acid and C18-OH was developed in this work. As the advantages of cheap, environmental protection, high energy storage density, small corrosivity, stable performance and not easy to appear phase separation, and supercooling, C18-acid and C18-OH were used as raw materials and mixed in different proportion and then the melting phase diagram was drawn. According to the phase diagram, it belongs to a binary simple system with the lowest eutectic point. As a result, the content of C18-OH at eutectic point is 0.4 in mass fraction. After, the thermal properties including phase-change temperature, latent heat, and thermal conductivity of the eutectic point PCM were investigated. The results show that the eutectic point PCM has a phase-change temperature of 44.2°C, a latent heat of 198.7 J·m−1·K−1, and a thermal conductivity of 0.2352 W·m−1·K−1. All these thermal properties demonstrated that the material at eutectic point has a great potential to be used as energy storage material for supply of heat and scouring bath.



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