The study on the evaporation kinetics of zinc and lead in the pellets made of ZnPbbearing dust mixed with carbon ,in nitrogen atmosphere at the temperature range between 1 100 and 1 300 , shows that the reduction te...The study on the evaporation kinetics of zinc and lead in the pellets made of ZnPbbearing dust mixed with carbon ,in nitrogen atmosphere at the temperature range between 1 100 and 1 300 , shows that the reduction temperature has a significant effect on the evaporation rates of zinc and lead and that both the particle size of coal powder and the extra carbon content have no effect on the evaporation rates . The obtained activation energies for the evaporation of zinc and lead are 7942 kJ/mol and 8874kJ/mol respectively. The evaporation rate of zinc is controlled by the reaction between zinc oxide and CO while that of lead is controlled by lead volatilization and the diffusion of gaseous lead through gas boundary layer covering the surface of liquid lead.展开更多
The influence of reduction temperature, size of coal powder and the carbon content on the evaporation rates of Zn and Pb in pellets made of ZnO-PbO-FeO bearing dust has been investigated between 1100-1300℃. The evapo...The influence of reduction temperature, size of coal powder and the carbon content on the evaporation rates of Zn and Pb in pellets made of ZnO-PbO-FeO bearing dust has been investigated between 1100-1300℃. The evaporation rate of Zn and Pb obtained from the experiments has been analyzed with kinetic models. The results show that the control step for evaporation of Zn is reduction reaction of ZnO by CO at the interface,and that the evaporation rate of Pb is controlled by the volatilization of reduction products, i.e. liquid lead. The overall apparent activation energies of Zn and Pb evaporation from the pellet are 79.42kJ/mol and 88.74kJ/mol respectively.展开更多
The evaporation kinetics of SnS from SnSCu2SFeS teruary system was investigated against matte grade, tetnperature and carrier gas flow rate. It was demonstrated that the evapomtion process is controlled by gas-phase m...The evaporation kinetics of SnS from SnSCu2SFeS teruary system was investigated against matte grade, tetnperature and carrier gas flow rate. It was demonstrated that the evapomtion process is controlled by gas-phase mass transport. The increases of the flow rote of carrier gas and the temperature could increase the gas-phase mass transport coefficient and the Partial pressure of SnS over the melts, respectively, and hence would appreciably promote the evaporation process. An increase of matte grade could lower the activitv coefficient of SnS in the melts, which in turn would cause the reduction of the evapomtion rate of SnS展开更多
The kinetics of SnS evaporation from SnS-Cu2S melts was investigated by a unique experimental method. It is shown that the process is controlled by the mass transport of SnS in gas phase. The evaporation rate of SnS i...The kinetics of SnS evaporation from SnS-Cu2S melts was investigated by a unique experimental method. It is shown that the process is controlled by the mass transport of SnS in gas phase. The evaporation rate of SnS is significantly enhanced by increasing tempeature and carrier gas flow rate. The apparent activation energy for the process is found to be 204.67 kJ. The evaporation rate for the present system is much smaller than that for SnS-FeS system.展开更多
Isotope eff ects are pivotal in understanding silicate melt evaporation and planetary accretion processes.Based on the Hertz-Knudsen equation,the current theory often fails to predict observed isotope fractionations o...Isotope eff ects are pivotal in understanding silicate melt evaporation and planetary accretion processes.Based on the Hertz-Knudsen equation,the current theory often fails to predict observed isotope fractionations of laboratory experiments due to its oversimplified assumptions.Here,we point out that the Hertz-Knudsen-equation-based theory is incomplete for silicate melt evaporation cases and can only be used for situations where the vaporized species is identical to the one in the melt.We propose a new model designed for silicate melt evaporation under vacuum.Our model considers multiple steps including mass transfer,chemical reaction,and nucleation.Our derivations reveal a kinetic isotopic fractionation factor(KIFF orα)αour model=[m(^(1)species)/m(^(2)species)]^(0.5),where m(species)is the mass of the reactant of reaction/nucleation-limiting step or species of diffusion-limiting step and superscript 1 and 2 represent light and heavy isotopes,respectively.This model can eff ectively reproduce most reported KIFFs of laboratory experiments for various elements,i.e.,Mg,Si,K,Rb,Fe,Ca,and Ti.And,the KIFF-mixing model referring that an overall rate of evaporation can be determined by two steps jointly can account for the eff ects of low P_(H2)pressure,composition,and temperature.In addition,we find that chemical reactions,diffusion,and nucleation can control the overall rate of evaporation of silicate melts by using the fitting slope in ln(−ln f)versus ln(t).Notably,our model allows for the theoretical calculations of parameters like activation energy(E_(a)),providing a novel approach to studying compositional and environmental eff ects on evaporation processes,and shedding light on the formation and evolution of the proto-solar and Earth-Moon systems.展开更多
To elucidate the behavior of slag films in an electroslag remelting process, the fluoride evaporation and crystallization of CaF2–CaO–Al2O3–(TiO2) slags were studied using the single hot thermocouple technique. T...To elucidate the behavior of slag films in an electroslag remelting process, the fluoride evaporation and crystallization of CaF2–CaO–Al2O3–(TiO2) slags were studied using the single hot thermocouple technique. The crystallization mechanism of TiO2-bearing slag was identified based on kinetic analysis. The fluoride evaporation and incubation time of crystallization in TiO2-free slag are found to considerably decrease with decreasing isothermal temperature down to 1503 K. Fish-bone and flower-like CaO crystals precipitate in TiO2-free slag melt, which is accompanied by CaF2 evaporation from slag melt above 1503 K. Below 1503 K, only near-spherical CaF2 crystals form with an incubation time of less than 1 s, and the crystallization is completed within 1 s. The addition of 8.1wt% TiO2 largely prevents the fluoride evaporation from slag melt and promotes the slag crystallization. TiO2 addition leads to the precipitation of needle-like perovskite(CaTiO3) crystals instead of CaO crystals in the slag. The crystallization of perovskite(CaTiO3) occurs by bulk nucleation and diffusion-controlled one-dimensional growth.展开更多
Solid-phase decarburization of high-carbon ferromanganese powders (HCFPs) was conducted using calcium carbonate powders (CCPs) as a decarburizer by microwave heating. Solid-phase decarburization kinelSics was inve...Solid-phase decarburization of high-carbon ferromanganese powders (HCFPs) was conducted using calcium carbonate powders (CCPs) as a decarburizer by microwave heating. Solid-phase decarburization kinelSics was investi- gated by isothermal method. The results show that the HCFPs show excellent microwave absorption at a higher av- erage heating rate of 80 ℃/min, while CCPs exhibit poor microwave absorption at a lower heating rate of 5--20 ℃/min; the heating characteristics are in-between when HCFPs and CCPs are mixed. The average heating rates of the mix- ture are 32.14, 31.25, 31.43, and 30.77 ℃/rain when the mixture is heated up to 900, 1000, 1100, and 1200 ℃, respectively. The good microwave absorption property of the mixed material lays the foundation for the solid-phase decarburization of HCFPs containing CCPs. Solid-phase decarburization of HCFPs containing CCPs is a first-order reaction by microwave heating. Apparent activation energy of solid-phase decarburization is 55.07 kJ/mol, which is far less than that of ordinary carbon gasification reaction and that of solid-phase decarburization under the same de- carburization condition by conventional heating. It indicates that microwave heating not only produces thermal effect, but also has non-thermal effect.展开更多
Metal evaporation on the basis of the kinetic model equations(BGK and S-model) and the direct simulation Monte Carlo(DSMC) method was investigated computationally under the circumstances of collimators existing or not...Metal evaporation on the basis of the kinetic model equations(BGK and S-model) and the direct simulation Monte Carlo(DSMC) method was investigated computationally under the circumstances of collimators existing or not. Numerical data of distributions of number density, bulk velocity and temperature were reported over a wide range of evaporation rate.It was shown that these results reached a good agreement for the case of small evaporation rate, while the deviations became increasingly obvious with the increase of evaporation rate, especially when the collimators existed. Moreover, the deposition thickness over substrate obtained from the kinetic model equations were inaccurate even though the evaporation rate was small. All of the comparisons showed the reliability of the kinetic model equations, which require less computational cost at small evaporation rate and simple structure.展开更多
A reliable mathematical model of urea-water-solution(UWS) droplet evaporation and thermolysis is developed.The well known Abramzon–Sirignano evaporation model is corrected by introducing an adjustment coefficient con...A reliable mathematical model of urea-water-solution(UWS) droplet evaporation and thermolysis is developed.The well known Abramzon–Sirignano evaporation model is corrected by introducing an adjustment coefficient considering the different evaporation behaviors of UWS droplet at different ambient temperatures. A semidetailed kinetic scheme of urea thermolysis is developed based on Ebrahimian's work. Sequentially, the evaporation characteristics, decomposition efficiency of a single UWS droplet and deposit formation are simulated. As a result, the relation of evaporation time, relative velocity, exhaust temperature and droplet initial diameter is presented. Synchronously, it indicates that temperature is the decisive factor for urea thermolysis. Different temperatures result in different deposit components, and deposit yield is significantly influenced by temperature and decomposition time. The current work can provide guidance for designing urea injection strategy of SCR systems.展开更多
A research on kinetics of Al evaporation from liquid U—Al alloys was made in a vacuum induction melting(VIM) furnace at 1673—1843 K.The evaporation rate of Al was found to be first order with respect to Al content...A research on kinetics of Al evaporation from liquid U—Al alloys was made in a vacuum induction melting(VIM) furnace at 1673—1843 K.The evaporation rate of Al was found to be first order with respect to Al content in the melt.The overall mass transfer coefficient of Al was determined and it was found that the evaporation rate of Al increased with increasing temperatures.The apparent activation energy of Al evaporation at 1673-1843 K was 171.5 kJ mol-1.The value of mass transfer coefficient of Al in the liquid phase was estimated to be 3.77 × 10-6,7.41×10-6,and 9.40 × 10-6m s-1at 1673,1753,and 1843 K,respectively.Meanwhile,rate determining steps were discussed and it was concluded that the evaporation rate of Al is mainly controlled by liquid phase mass transfer.展开更多
The objective of this study was to investigate the effect of various concentration methods namely microwave vacuum evaporation(MVE),microwave heating evaporation(MHE),and rotary vacuum evaporation(RVE)on the concentra...The objective of this study was to investigate the effect of various concentration methods namely microwave vacuum evaporation(MVE),microwave heating evaporation(MHE),and rotary vacuum evaporation(RVE)on the concentrate change,the kinetic of color degradation,and the rheological behavior of pineapple juice.The concentrated behavior of pineapple juice from the experimental data of concentration rate was fitted with three types of exponential models for evaluating a suitable prediction.The four-parameter exponential model was found to agreeably explain the concentrated change of pineapple juice during each concentration methods.The Kinetics of color change during concentration processes was evaluated.The color changing from three different evaporations was measured by lightness values(L*),redness values(a*)and yellowness(b*)values,total color difference(TCD)and brown pigment formation index(A420).The result indicated that the change in Hunter parameters,L*and b*,fitted well with the first-order kinetic model while a*,TCD,and Browning index followed the zero-order kinetic model.The observed apparent viscosities(μa)of pineapple concentrate at 55-85℃through the three different evaporation methods were also measured.In relation to temperature and shear rate,the viscosity decreased as these two parameters increased,for all concentrated pineapple juice.On comparing the values ofμa of pineapple concentrate from different concentration methods,pineapple concentrate from MHE has higher values than those from MVE and RVE.The Duncan test,applied to the experimental results,indicates no significant difference in theμa of pineapple juice concentrate by MVE and by RVE.展开更多
脱硫废液中硫酸钙结晶的大小和晶习差异将直接导致其易积垢于热交换面且难以处理,结晶状况对生产工艺、设备配置和过程的经济性均会产生影响,因此硫酸钙的结晶机制及相应的硫酸钙结晶动力学研究可为该脱硫废液的减量化处理和工程设计提...脱硫废液中硫酸钙结晶的大小和晶习差异将直接导致其易积垢于热交换面且难以处理,结晶状况对生产工艺、设备配置和过程的经济性均会产生影响,因此硫酸钙的结晶机制及相应的硫酸钙结晶动力学研究可为该脱硫废液的减量化处理和工程设计提供技术支持。通过对脱硫废液的水质特征分析、沉淀和蒸发结晶,采用显微镜、SEM-EDS及XRD等分析手段,解析结晶产物的微观特征,并研究硫酸钙的结晶机制和结晶动力学行为。结果表明,脱硫废液pH值的不同可导致不同金属离子的沉淀,废液中的重金属离子随着碱度的提高先行沉淀析出,然后废液中的镁离子主要以氢氧化镁的形态沉淀。蒸发结晶过程中废液中的氯离子等杂质存在则影响硫酸钙晶体的结晶和规整度,较高浓度的氯离子优先以氯化物结晶体析出。硫酸钙的结晶过程为晶体成核、晶体生长、晶簇团聚及晶粒成长的渐进历程,由于废液中的杂质可能成为晶核,致使硫酸钙结晶的速率更快,但其变化规律与纯硫酸钙的结晶一致。脱硫废液中硫酸钙晶体的成核速率在很大程度上取决于溶液的过饱和度,钙离子过饱和度越大则结晶速度越快。蒸发过程中硫酸钙晶体生长过程可拟合为1.38级反应过程,反应速率常数为34.62,结晶反应速率方程为r=34.62 C 1.38。展开更多
文摘The study on the evaporation kinetics of zinc and lead in the pellets made of ZnPbbearing dust mixed with carbon ,in nitrogen atmosphere at the temperature range between 1 100 and 1 300 , shows that the reduction temperature has a significant effect on the evaporation rates of zinc and lead and that both the particle size of coal powder and the extra carbon content have no effect on the evaporation rates . The obtained activation energies for the evaporation of zinc and lead are 7942 kJ/mol and 8874kJ/mol respectively. The evaporation rate of zinc is controlled by the reaction between zinc oxide and CO while that of lead is controlled by lead volatilization and the diffusion of gaseous lead through gas boundary layer covering the surface of liquid lead.
文摘The influence of reduction temperature, size of coal powder and the carbon content on the evaporation rates of Zn and Pb in pellets made of ZnO-PbO-FeO bearing dust has been investigated between 1100-1300℃. The evaporation rate of Zn and Pb obtained from the experiments has been analyzed with kinetic models. The results show that the control step for evaporation of Zn is reduction reaction of ZnO by CO at the interface,and that the evaporation rate of Pb is controlled by the volatilization of reduction products, i.e. liquid lead. The overall apparent activation energies of Zn and Pb evaporation from the pellet are 79.42kJ/mol and 88.74kJ/mol respectively.
文摘The evaporation kinetics of SnS from SnSCu2SFeS teruary system was investigated against matte grade, tetnperature and carrier gas flow rate. It was demonstrated that the evapomtion process is controlled by gas-phase mass transport. The increases of the flow rote of carrier gas and the temperature could increase the gas-phase mass transport coefficient and the Partial pressure of SnS over the melts, respectively, and hence would appreciably promote the evaporation process. An increase of matte grade could lower the activitv coefficient of SnS in the melts, which in turn would cause the reduction of the evapomtion rate of SnS
文摘The kinetics of SnS evaporation from SnS-Cu2S melts was investigated by a unique experimental method. It is shown that the process is controlled by the mass transport of SnS in gas phase. The evaporation rate of SnS is significantly enhanced by increasing tempeature and carrier gas flow rate. The apparent activation energy for the process is found to be 204.67 kJ. The evaporation rate for the present system is much smaller than that for SnS-FeS system.
基金supported by Chinese NSF project(42,130,114)the strategic priority research program(B)of CAS(XDB41000000)the pre-research Project on Civil Aerospace Technologies No.D020202 funded by Chinese National Space Administration(CNSA)and Guizhou Provincial 2021 Science and Technology Subsidies(No.GZ2021SIG).
文摘Isotope eff ects are pivotal in understanding silicate melt evaporation and planetary accretion processes.Based on the Hertz-Knudsen equation,the current theory often fails to predict observed isotope fractionations of laboratory experiments due to its oversimplified assumptions.Here,we point out that the Hertz-Knudsen-equation-based theory is incomplete for silicate melt evaporation cases and can only be used for situations where the vaporized species is identical to the one in the melt.We propose a new model designed for silicate melt evaporation under vacuum.Our model considers multiple steps including mass transfer,chemical reaction,and nucleation.Our derivations reveal a kinetic isotopic fractionation factor(KIFF orα)αour model=[m(^(1)species)/m(^(2)species)]^(0.5),where m(species)is the mass of the reactant of reaction/nucleation-limiting step or species of diffusion-limiting step and superscript 1 and 2 represent light and heavy isotopes,respectively.This model can eff ectively reproduce most reported KIFFs of laboratory experiments for various elements,i.e.,Mg,Si,K,Rb,Fe,Ca,and Ti.And,the KIFF-mixing model referring that an overall rate of evaporation can be determined by two steps jointly can account for the eff ects of low P_(H2)pressure,composition,and temperature.In addition,we find that chemical reactions,diffusion,and nucleation can control the overall rate of evaporation of silicate melts by using the fitting slope in ln(−ln f)versus ln(t).Notably,our model allows for the theoretical calculations of parameters like activation energy(E_(a)),providing a novel approach to studying compositional and environmental eff ects on evaporation processes,and shedding light on the formation and evolution of the proto-solar and Earth-Moon systems.
基金financially supported by the Fundamental Research Funds for the Central Universities (No. FRF-TP-14-009A1)the National Natural Science Foundation of China (No. 51444004)
文摘To elucidate the behavior of slag films in an electroslag remelting process, the fluoride evaporation and crystallization of CaF2–CaO–Al2O3–(TiO2) slags were studied using the single hot thermocouple technique. The crystallization mechanism of TiO2-bearing slag was identified based on kinetic analysis. The fluoride evaporation and incubation time of crystallization in TiO2-free slag are found to considerably decrease with decreasing isothermal temperature down to 1503 K. Fish-bone and flower-like CaO crystals precipitate in TiO2-free slag melt, which is accompanied by CaF2 evaporation from slag melt above 1503 K. Below 1503 K, only near-spherical CaF2 crystals form with an incubation time of less than 1 s, and the crystallization is completed within 1 s. The addition of 8.1wt% TiO2 largely prevents the fluoride evaporation from slag melt and promotes the slag crystallization. TiO2 addition leads to the precipitation of needle-like perovskite(CaTiO3) crystals instead of CaO crystals in the slag. The crystallization of perovskite(CaTiO3) occurs by bulk nucleation and diffusion-controlled one-dimensional growth.
基金Item Sponsored by National Natural Science Foundation of China and Baosteel Group Corporation(50974149)
文摘Solid-phase decarburization of high-carbon ferromanganese powders (HCFPs) was conducted using calcium carbonate powders (CCPs) as a decarburizer by microwave heating. Solid-phase decarburization kinelSics was investi- gated by isothermal method. The results show that the HCFPs show excellent microwave absorption at a higher av- erage heating rate of 80 ℃/min, while CCPs exhibit poor microwave absorption at a lower heating rate of 5--20 ℃/min; the heating characteristics are in-between when HCFPs and CCPs are mixed. The average heating rates of the mix- ture are 32.14, 31.25, 31.43, and 30.77 ℃/rain when the mixture is heated up to 900, 1000, 1100, and 1200 ℃, respectively. The good microwave absorption property of the mixed material lays the foundation for the solid-phase decarburization of HCFPs containing CCPs. Solid-phase decarburization of HCFPs containing CCPs is a first-order reaction by microwave heating. Apparent activation energy of solid-phase decarburization is 55.07 kJ/mol, which is far less than that of ordinary carbon gasification reaction and that of solid-phase decarburization under the same de- carburization condition by conventional heating. It indicates that microwave heating not only produces thermal effect, but also has non-thermal effect.
文摘Metal evaporation on the basis of the kinetic model equations(BGK and S-model) and the direct simulation Monte Carlo(DSMC) method was investigated computationally under the circumstances of collimators existing or not. Numerical data of distributions of number density, bulk velocity and temperature were reported over a wide range of evaporation rate.It was shown that these results reached a good agreement for the case of small evaporation rate, while the deviations became increasingly obvious with the increase of evaporation rate, especially when the collimators existed. Moreover, the deposition thickness over substrate obtained from the kinetic model equations were inaccurate even though the evaporation rate was small. All of the comparisons showed the reliability of the kinetic model equations, which require less computational cost at small evaporation rate and simple structure.
基金Supported by the National High Technology Research and Development Program of China(2013AA065301)the Fundamental Research Funds for the Central Universities(2016QNA4014)the State Key Laboratory of Clean Energy Utilization at Zhejiang University(ZJUCEU2016006)
文摘A reliable mathematical model of urea-water-solution(UWS) droplet evaporation and thermolysis is developed.The well known Abramzon–Sirignano evaporation model is corrected by introducing an adjustment coefficient considering the different evaporation behaviors of UWS droplet at different ambient temperatures. A semidetailed kinetic scheme of urea thermolysis is developed based on Ebrahimian's work. Sequentially, the evaporation characteristics, decomposition efficiency of a single UWS droplet and deposit formation are simulated. As a result, the relation of evaporation time, relative velocity, exhaust temperature and droplet initial diameter is presented. Synchronously, it indicates that temperature is the decisive factor for urea thermolysis. Different temperatures result in different deposit components, and deposit yield is significantly influenced by temperature and decomposition time. The current work can provide guidance for designing urea injection strategy of SCR systems.
文摘A research on kinetics of Al evaporation from liquid U—Al alloys was made in a vacuum induction melting(VIM) furnace at 1673—1843 K.The evaporation rate of Al was found to be first order with respect to Al content in the melt.The overall mass transfer coefficient of Al was determined and it was found that the evaporation rate of Al increased with increasing temperatures.The apparent activation energy of Al evaporation at 1673-1843 K was 171.5 kJ mol-1.The value of mass transfer coefficient of Al in the liquid phase was estimated to be 3.77 × 10-6,7.41×10-6,and 9.40 × 10-6m s-1at 1673,1753,and 1843 K,respectively.Meanwhile,rate determining steps were discussed and it was concluded that the evaporation rate of Al is mainly controlled by liquid phase mass transfer.
文摘The objective of this study was to investigate the effect of various concentration methods namely microwave vacuum evaporation(MVE),microwave heating evaporation(MHE),and rotary vacuum evaporation(RVE)on the concentrate change,the kinetic of color degradation,and the rheological behavior of pineapple juice.The concentrated behavior of pineapple juice from the experimental data of concentration rate was fitted with three types of exponential models for evaluating a suitable prediction.The four-parameter exponential model was found to agreeably explain the concentrated change of pineapple juice during each concentration methods.The Kinetics of color change during concentration processes was evaluated.The color changing from three different evaporations was measured by lightness values(L*),redness values(a*)and yellowness(b*)values,total color difference(TCD)and brown pigment formation index(A420).The result indicated that the change in Hunter parameters,L*and b*,fitted well with the first-order kinetic model while a*,TCD,and Browning index followed the zero-order kinetic model.The observed apparent viscosities(μa)of pineapple concentrate at 55-85℃through the three different evaporation methods were also measured.In relation to temperature and shear rate,the viscosity decreased as these two parameters increased,for all concentrated pineapple juice.On comparing the values ofμa of pineapple concentrate from different concentration methods,pineapple concentrate from MHE has higher values than those from MVE and RVE.The Duncan test,applied to the experimental results,indicates no significant difference in theμa of pineapple juice concentrate by MVE and by RVE.
文摘脱硫废液中硫酸钙结晶的大小和晶习差异将直接导致其易积垢于热交换面且难以处理,结晶状况对生产工艺、设备配置和过程的经济性均会产生影响,因此硫酸钙的结晶机制及相应的硫酸钙结晶动力学研究可为该脱硫废液的减量化处理和工程设计提供技术支持。通过对脱硫废液的水质特征分析、沉淀和蒸发结晶,采用显微镜、SEM-EDS及XRD等分析手段,解析结晶产物的微观特征,并研究硫酸钙的结晶机制和结晶动力学行为。结果表明,脱硫废液pH值的不同可导致不同金属离子的沉淀,废液中的重金属离子随着碱度的提高先行沉淀析出,然后废液中的镁离子主要以氢氧化镁的形态沉淀。蒸发结晶过程中废液中的氯离子等杂质存在则影响硫酸钙晶体的结晶和规整度,较高浓度的氯离子优先以氯化物结晶体析出。硫酸钙的结晶过程为晶体成核、晶体生长、晶簇团聚及晶粒成长的渐进历程,由于废液中的杂质可能成为晶核,致使硫酸钙结晶的速率更快,但其变化规律与纯硫酸钙的结晶一致。脱硫废液中硫酸钙晶体的成核速率在很大程度上取决于溶液的过饱和度,钙离子过饱和度越大则结晶速度越快。蒸发过程中硫酸钙晶体生长过程可拟合为1.38级反应过程,反应速率常数为34.62,结晶反应速率方程为r=34.62 C 1.38。