Isotherm model

等温线模型
  • 文章类型: Journal Article
    在埃塞俄比亚的高地,通常不解决确定K养分的供应和吸收以及土壤中K形式之间的动态平衡(吸附-解吸)反应。因此,开始了一项研究,以确定Qenberenaweti子流域土壤中可交换K的吸附能力和不可交换K的释放动力学。从每个农田中收集了十二个受干扰的表面(0-20厘米)土壤子样本,这些样本代表了每种预先确定的土壤类型(VerticCambisols,PellicVertisols,PisoplinthicLuvisols,RelictistagnicCambisols,PisoplinthicCambisols,和PlinthopracticCambisols)。一式两份制备复合样品,以确定每种土壤类型的K吸附能力和解吸动力学。平均最大(69.47±4.31%)和最小(56.16±6.04%)的K吸附率是从PlinthopraticCambisols和VerticCambisols获得的,分别。在测试的等温线模型中,Freundlich的优度更好地拟合了所有实验土壤的数据;因此,该模型的修正方程(qe=aCeb/a)可用于描述在土壤溶液中发展钾水平所需的钾肥的理论剂量。从PlinthopracticCambisols释放的最高恒定K(47mgkg-1),PisiopllinticCambisols(46mgkg-1),在第9次提取时获得了PisoplinthicLuvisols(44mgkg-1)。相比之下,在第7次和第11次提取RelictistagnicCambisols(45mgkg-1)和PellicVertisols(48mgkg-1)和VerticCambisols(42mgkg-1)时注意到了这一点,分别。幂函数方程是成功描述所有实验土壤释放的K的最佳方程。最终,在特定地点确定钾的吸附能力和释放动力学有助于了解土壤供应钾的相对潜力,并计划有效的钾施肥策略。
    Determining the supply and uptake of K nutrient and the dynamic equilibrium (adsorption-desorption) reactions among the K forms in the soils are not commonly addressed in the highlands of Ethiopia. A study was therefore initiated to determine the adsorption capacity of the exchangeable K and the release kinetics of the non-exchangeable K in the soils of the Qenberenaweti Sub-watershed. Twelve disturbed surface (0-20 cm) soil sub-samples were collected from every farmland which was representative of each pre-identified soil type (Vertic Cambisols, Pellic Vertisols, Pisoplinthic Luvisols, Relictistagnic Cambisols, Pisoplinthic Cambisols, and Plinthofractic Cambisols). A composite sample was made in duplicate for the determination of K adsorption capacity and desorption kinetics per soil type. The mean maximum (69.47 ± 4.31 %) and minimum (56.16 ± 6.04 %) K adsorption rates were obtained from the Plinthofractic Cambisols and Vertic Cambisols, respectively. Among the tested isotherm models, the goodness of the Freundlich was better fit the data of all experimental soils; hence, a modified equation of this model (qe = aCeb/a) could be used to describe the theoretical doses of K fertilizers required to develop K levels in soil solutions. The highest constant K releases from the Plinthofractic Cambisols (47 mg kg-1), Pisiopllintic Cambisols (46 mg kg-1), and Pisoplinthic Luvisols (44 mg kg-1) were attained at the 9th extraction. In comparison, it was noticed at the 7th and 11th extractions of the Relictistagnic Cambisols (45 mg kg-1) and both Pellic Vertisols (48 mg kg-1) and Vertic Cambisols (42 mg kg-1), respectively. The equation of power function was the best to successfully describe the released K+ from all the experimental soils. Eventually, determining the adsorption capacity and release kinetics of K at a site-specific level helps to know the relative potential of the soils to supply K and also plan for an effective K fertilization strategy.
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  • 文章类型: Journal Article
    重金属由于其不可生物降解而对环境产生重大影响,有毒,和致癌行为。铅污染物对人类和水环境造成严重的健康影响。因此,纳米技术等环保高效的铅离子去除实践是减少铅污染的迫切需要。在本研究中,以棉秆渣为原料,采用化学方法合成纳米纤维素,并用二氧化钛改性,形成纳米复合材料。用FTIR对合成的纳米复合材料进行了表征,XRD,FESEM,和下注。FTIR结果注意到纤维素和Ti-O-Ti键在505.02cm-1处的1648.43和1443.57cm-1处的峰。注意到纳米复合材料在形状上是无序的和不规则的。纳米复合材料的粒径为83nm。从XRD结果观察到,纳米复合结晶颗粒具有65%的锐钛矿相和32%的金红石相。BET结果表明,表面改性后纳米纤维素的表面积从25.692增加到42.510m2/g。观察到纳米复合材料的吸附容量为0.552mg/g。Elovich动力学和Baudu等温线是铅离子吸附的最佳拟合模型。热力学参数导致吉布斯自由能随温度降低。这项研究表明,改性纤维素吸附剂有效地吸收了来自棉秸秆的铅离子。
    Heavy metals significantly impact the environment due to their non-biodegradable, toxic, and carcinogenic behaviors. Lead contaminants impose severe health impacts on humans and the water environment. Therefore, eco-friendly and efficient lead ion removal practices such as nanotechnology are an urgent requirement for the abatement of lead pollution. In the present study, nanocellulose was synthesized from the cotton straw residue using chemical methods and modified with titanium dioxide to form a nanocomposite. The nanocomposite synthesized was characterized by using FTIR, XRD, FESEM, and BET. FTIR results noticed peaks at 1648.43 and 1443.57 cm-1 for cellulose and Ti-O-Ti bonding at 505.02 cm-1. The nanocomposite was noticed to be disordered and irregular in shape. The nanocomposite has particle sizes of 83 nm. The nanocomposite crystalline particle had 65% anatase and 32% rutile phases observed from the XRD result. BET results show that the surface area of nanocellulose increases after surface modification from 25.692 to 42.510 m2/g. The adsorption capacity of the nanocomposite was 0.552 mg/g was noticed. The Elovich kinetic and Baudu isotherms are the best-fitted models for lead ion adsorption. Thermodynamic parameters resulted in Gibbs free energy decreasing with temperature. This study revealed that modified cellulosic adsorbents efficiently absorbed lead ions derived from cotton straws.
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  • 文章类型: Journal Article
    重金属是最危险的环境污染之一,消除它们是卫生系统的优先事项之一。微生物已被引入作为此类污染的安全吸收剂,这种能力与其表面层的特征有关。有关于某些细菌在空间条件下细胞包膜厚度增加的报道。因此,本研究利用酵母研究了SMG对重金属生物吸附的影响(S.)酿酒酵母。此外,复杂的稳定性,等温线,并对动力学吸收模型进行了研究。结果表明,SMG对酿酒酵母对汞(Hg)97%和铅(Pb)72.5%的生物吸附有积极影响。相比之下,它不影响镉(Cd)和砷(As)的生物吸附。在胃肠道条件下,Hg,Cd,酵母复合物是稳定的,它们的生物吸附增加了。在铅酵母复合体的情况下,在模拟胃暴露中,在SMG和正常重力(NG)的模拟肠道暴露中,结合首先减少,但再次增加。酵母对金属的生物吸附遵循与Langmuir和Freundlich匹配的所有金属(As)的伪二级动力学和Langmuir等温线模型。目前的研究结果表明,微重力为酿酒酵母生物吸附重金属提供了理想的条件。此外,在模拟胃肠道条件后,生物吸附剂-重金属复合物保持稳定。总之,这项研究的结果可以被考虑用于食品和饮料行业的解毒和保持宇航员的健康。
    Heavy metals are one of the most dangerous environmental pollutions, and their elimination is one of the health system\'s priorities. Microorganisms have been introduced as a safe absorber of such pollution and this ability is related to the characteristics of their surface layers. There are reports about some bacteria\'s increment of cell envelope thickness in space conditions. Therefore, this study investigated SMG effect on heavy metals biosorption using Saccharomyces (S.) cerevisiae. Furthermore, the stability of complex, isotherm, and kinetic absorption models has been investigated. The results showed that the SMG positively affected the biosorption of mercury (Hg) 97% and lead (Pb) 72.5% by S. cerevisiae. In contrast, it did not affect cadmium (Cd) and arsenic (As) biosorption. In gastrointestinal conditions, Hg, Cd, and As-yeast complexes were stable, and their biosorption increased. In the case of the Pb-yeast complex, in simulated gastric exposure, the binding decreased at first but increased again in simulated intestinal exposure in both SMG and normal gravity (NG). The metals\' biosorption by yeast followed the pseudo-second-order kinetic and the Langmuir isotherm models for all metals (As) matched with Langmuir and Freundlich. The current research results demonstrate that microgravity provides desirable conditions for heavy metal biosorption by S. cerevisiae. Furthermore, the biosorbent-heavy metal complex remains stable after simulated gastrointestinal conditions. Altogether, the results of this study could be considered in detoxifying food and beverage industries and maintaining astronauts\' health.
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  • 文章类型: Journal Article
    多年来,吸附作为将污染物从液相中分离出来的最经济有效的方法之一,已经引起了相当大的关注。对吸附机理的全面了解需要几个关键步骤,包括吸附剂表征,批量和柱吸附试验,预定义的动力学和等温线模型的拟合,细致的热力学分析。这些结合的努力有助于提供对吸附现象的复杂作用的清晰和见解。然而,每年在该领域发表的大量文献充斥着不明智的模型选择和错误的参数分析。因此,本文的目的是为正确使用这些众多的动能,等温线,和固定床模型在各种应用。已经进行了彻底的审查,包含超过45个动力学模型,70个等温线模型,和现有的45种固定床型号,它们的分类是根据它们各自的吸附机理确定的。此外,提供了修改固定床模型的五种通用方法。物理意义,假设,并详细讨论了模型的相互转换关系,以及用于评估其有效性的信息标准。除了常用的活化能和吉布斯能分析,总结了场地能量分布的计算方法。
    During the years, adsorption has garnered considerable attention being one of the most cost-effective and efficient methods for separating contaminants out of liquid phase. A comprehensive understanding of adsorption mechanisms entails several crucial steps, including adsorbent characterization, batch and column adsorption tests, fitting of predefined kinetic and isotherm models, and meticulous thermodynamic analysis. These combined efforts serve to provide clarity and insights into the intricate workings of adsorption phenomena. However, the vast amount of literature published in the field each year is riddled with ill-considered model selections and incorrect parameter analyses. Therefore, the aim of this paper is to establish guidelines for the proper employment of these numerous kinetic, isotherm, and fixed-bed models in various applications. A thorough review has been undertaken, encompassing more than 45 kinetic models, 70 isotherm models, and 45 fixed bed models available hitherto, with their classification determined based on the adsorption mechanisms expounded within each of them. Moreover, five general approaches for modifying fixed-bed models were provided. The physical meanings, assumptions, and interconversion relationships of the models were discussed in detail, along with the information criterion used to evaluate their validity. In addition to commonly used activation energy and Gibbs energy analysis, the methods for calculating site energy distribution were also summarized.
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  • 文章类型: Journal Article
    水蒸气吸附的特性取决于结构,孔隙度,和材料的官能团。金属有机骨架(MOF)衍生的碳(MDC)是一种新型材料,通过利用纯MOF材料的稳定结构和孔隙率,具有高比面积和可调孔径。在这里,两种类型的铝基MOFs被用作前体,通过碳化和活化合成疏水性微孔C-MDC和微介孔A-MDC,这取决于前体中配体的类型。C-MDC和A-MDC具有不同的孔隙特性并表现出不同的水吸附性能。具有疏水特性和微孔的C-MDC在相对较低的压力(P/P0〜0.3)下表现出可忽略的水吸附能力(108.54mgg-1),但在相对压力下表现出快速增加约0.6的水吸附能力(475.7mgg-1)。与等温线模型的比较表明,结果与理论一致,包括低相对压力下的场地充填和高相对压力下的孔隙充填。特别是,专门用于5型的Do-Do模型显示出极好的一致性。
    The characteristics of water vapor adsorption depend on the structure, porosity, and functional groups of the material. Metal-organic framework (MOF)-derived carbon (MDC) is a novel material that exhibits a high specific area and tunable pore sizes by exploiting the stable structure and porosity of pure MOF materials. Herein, two types of aluminum-based MOFs were used as precursors to synthesize hydrophobic microporous C-MDC and micro-mesoporous A-MDC via carbonization and activation depending on the type of ligands in the precursors. C-MDC and A-MDC have different pore characteristics and exhibit distinct water adsorption properties. C-MDC with hydrophobic properties and micropores exhibited negligible water adsorption (108.54 mgg-1) at relatively low pressures (P/P0~0.3) but showed a rapid increase in water adsorption ability (475.7 mgg-1) at relative pressures of about 0.6. A comparison with the isotherm model indicated that the results were consistent with the theories, which include site filling at low relative pressure and pore filling at high relative pressure. In particular, the Do-Do model specialized for type 5 showed excellent agreement.
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  • 文章类型: Journal Article
    在本文中,研究了来自摩洛哥东北部Nador地区的天然摩洛哥材料作为吸附剂,可从水溶液中去除甲基紫2B染料。这种材料以前从未在这个地区研究过,它将在原始状态下使用。收集并通过X射线衍射对其进行表征,FTIR光谱,扫描电子显微镜,X射线荧光,热分析,N2气吸附-解吸,pHPZC,和Brunauer-Emmett-Teller(BET)。研究以500μm的晶粒尺寸和182m2/g的BET表面积实现。XRD显示存在属于天然沸石型斜发沸石-Ca和次要相的显著峰。研究了几个参数,如接触时间,吸附剂质量,初始染料浓度,初始pH溶液,材料的粒度,和温度。在实验中接触时间60分钟后研究的三个等温线模型中,Langmuir模型与实验数据拟合最好(R2=0.99)。动力学和热力学研究的结果表明,吸附过程服从伪二级,自发(ΔG°<0),吸热(ΔS°>0)。甲基紫2B染料的吸附是化学吸附和物理吸附。对于500µm的粒径,在23°C下的最大理论吸附容量为30.30mg·g-1。解吸研究表明,该材料可以使用溶剂解吸。重复使用研究表明,相同量的天然沸石可以多次使用,这使得该过程高效和可持续。获得的结果表明,摩洛哥国家拥有天然沸石资源,可以用作去除染料的有效吸附剂。
    In this paper, a natural Moroccan material from the Nador area in the north east of Morocco was studied as an adsorbent to remove methyl violet 2B dye from aqueous solutions. This material has never been studied before in this region, and it will be used in its raw state. It was collected and characterized by X-ray diffraction, FTIR spectroscopy, scanning electron microscopy, X-ray fluorescence, thermal analysis, N2 gas adsorption-desorption, pHPZC, and Brunauer-Emmett-Teller (BET). The studies are realized with a 500-µm grain size and 182m2/g BET surface area. XRD showed the presence of significant peaks belonging to natural zeolite type clinoptilolite-Ca and minor phases. Several parameters were studied such as contact time, adsorbent mass, initial dye concentration, initial pH solution, the particle size of the material, and temperature. Out of the three isotherm models investigated after 60 min of contact time in the experiments, the Langmuir model gave the best fit to the experimental data (R2 = 0.99). The results of kinetic and thermodynamic studies revealed that the adsorption process obeyed pseudo-second-order, spontaneous (ΔG° < 0), endothermic (ΔS° > 0). The adsorption of methyl violet 2B dye is chemisorptions and physisorption. The maximum theoretical adsorption capacity was 30.30 mg·g-1 at 23 °C for a particle diameter of 500 µm. The desorption study shows that the material can be desorbed using solvents. The reuse study indicates that the same amount of natural zeolite can be used several times which makes the process efficient and sustainable. The obtained results indicate that the country of Morocco has natural zeolite among its resources and that it can be used as an efficient adsorbent for the removal of dyes.
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  • 文章类型: Journal Article
    如今,天然材料的使用,特别是“废物”的价值化已经演变并引起了科学家和学术界的广泛关注。在这方面,使用稻壳(RH)粉末作为天然丰富且廉价的副产品材料正在获得极大的关注。然而,改善这种RH的物理化学性质仍在研究中。在目前的调查中,通过γ辐照对稻壳(RH)进行改性已被证明是满足这种需求的有前途的绿色工具。干净,准备好了,粉状RH样品经受各种γ辐射剂量,即5、10、15和25kGy,分别命名为RH-0、RH-5、RH-10、RH-15、RH-15和RH-25。然后,通过扫描电子显微镜(SEM)对样品进行表征。辐照后,当γ辐射增加到15kGy时,样品的表面粗糙度增加。此外,研究了辐照的RH样品的吸附能力,以消除Urolene蓝(UB)染料作为模型药物流出物流。最高的染料吸收记录为14.7mg/g,对应于RH-15。还研究了所有研究系统的吸附操作参数,所有吸附剂均显示出相同的趋势,在pH6.6和高温下具有优异的吸附能力。Langmuir和Freundlich等温线模型也用于UB吸附,并且适当的拟合等温线模型与Langmuir拟合相关联。此外,伪二级动力学模型为吸附数据提供了最佳拟合。实验测定证实UB染料可以通过可持续的绿色方法从水流中成功地根除。
    Nowadays, the use of natural materials and especially \"waste\" valorization has evolved and attracted the wide attention of scientists and academia. In this regard, the use of rice husk (RH) powder as a naturally abundant and cheap byproduct material is gaining superior attention. However, improving the physicochemical properties of such RH is still under research. In the current investigation, the modification of rice husk (RH) via γ-irradiation has shown to be a promising green tool to meet such a need. Clean, prepared, powdered RH samples were subjected to various γ-radiation doses, namely 5, 10, 15 and 25 kGy, and the corresponding samples were named as RH-0, RH-5, RH-10, RH-15, RH-15 and RH-25. Then, the samples were characterized via scanning electron microscopy (SEM). After irradiation, the samples showed an increase in their surface roughness upon increasing the γ-radiation up to 15 kGy. Furthermore, the sorption capacity of the irradiated RH samples was investigated for eliminating Urolene Blue (UB) dye as a model pharmaceutical effluent stream. The highest dye uptake was recorded as 14.7 mg/g, which corresponded to the RH-15. The adsorption operating parameters were also investigated for all of the studied systems and all adsorbents showed the same trend, of a superior adsorption capacity at pH 6.6 and high temperatures. Langmuir and Freundlich isotherm models were also applied for UB adsorption and an adequate fitted isotherm model was linked with Langmuir fitting. Moreover, the pseudo-second-order kinetic model provided the best fit for the adsorption data. Experimental assays confirmed that the UB dye could be successfully eradicated feasibly from the aqueous stream via a sustainable green methodology.
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  • 文章类型: Journal Article
    用浓HNO3和H2SO4通过氧化和酸化对多壁碳纳米管(MWCNTs)进行了改性,并通过几种分析技术对改性的多壁碳纳米管(M-MWCNTs)和原始MWCNTs进行了表征。然后很好地研究和阐明了MWCNTs和M-MWCNTs的去杂化效应。实验数据表明,M-MWCNTs对Mn(II)的吸附效率在20%~75%之间,最佳吸附时间为6h,最佳吸附pH为6.动力学模型研究的结果表明,M-MWCNTs去除Mn(II)遵循伪二级模型。进行了等温研究,结果表明实验数据与三个模型拟合良好。PSO-BP仿真验证了实验结果的可靠性,本结论可作为进一步模拟的条件。研究结果为促进废水除锰提供了一种潜在的技术,同时,各种数学模型的应用也为纳米材料吸附重金属的机理研究提供了更科学的思路。
    Multiwalled carbon nanotubes (MWCNTs) were modified by oxidation and acidification with concentrated HNO3 and H2SO4, and the modified multiwalled carbon nanotubes (M-MWCNTs) and raw MWCNTs were characterized by several analytical techniques. Then the demanganization effects of MWCNTs and M-MWCNTs were well investigated and elucidated. The experimental data demonstrated that the adsorption efficiency of Mn(II) could be greatly promoted by M-MWCNTs from about 20% to 75%, and the optimal adsorption time was 6 h and the optimal pH was 6. The results of the kinetic model studies showed that Mn(II) removal by M-MWCNTs followed the pseudo-second-order model. Isothermal studies were conducted and the results demonstrated that the experimental data fitted well with the three models. The reliability of the experimental results was well verified by PSO-BP simulation, and the present conclusion could be used as a condition for further simulation. The research results provide a potential technology for promoting the removal of manganese from wastewater; at the same time, the application of various mathematical models also provides more scientific ideas for the research of the mechanism of adsorption of heavy metals by nanomaterials.
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  • 文章类型: Journal Article
    等温线模型对平衡数据的定量描述是吸附研究中不可缺少的环节。以前的综述论文侧重于基本假设,拟合方法,等温线模型的误差函数和实际应用,通常忽略它们的曲线特征,选择标准和常见争议。本综述的主要内容包括:(i)模型参数对等温线曲线的影响;(ii)确定站点能量分布;(iii)等温线模型的选择标准;(iv)消除一些常见的争议。揭示曲线特性对于选择合适的等温线模型具有重要意义。位点能量分布有助于了解吸附剂表面的物理化学性质。建议将完整的等温线与实验数据相关联。应谨慎采用模型参数qmax来比较吸附剂性能。残差图可用于进一步诊断等温线模型的拟合质量。这篇评论还解决了一些常见的错误和争议,从而避免了它们在未来出版物中的传播。
    The quantitative description of the equilibrium data by the isotherm models is an indispensable link in adsorption studies. The previous review papers focus on the underlying assumptions, fitting methods, error functions and practical applications of the isotherm models, usually ignoring their curve characteristics, selection criteria and common controversies. The main contents of this review include: (i) effect of the model parameters on the isotherm curves; (ii) determination of the site energy distribution; (iii) selection criteria of the isotherm models; and (iv) elimination of some common controversies. It is of great significance to reveal the curve characteristics for selecting a proper isotherm model. The site energy distribution is conducive to understanding the physicochemical properties of the adsorbent surface. The complete isotherm is recommended to be correlated with the experimental data. The model parameter qmax should be cautiously adopted for comparison of the adsorbent performance. The residual plot can be used to diagnose the fitting quality of the isotherm models further. This review also addresses some common mistakes and controversies and thereby avoids their propagation in future publications.
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  • 文章类型: Journal Article
    壬基酚(NP)被认为是一种环境毒性物质,影响人类和生态系统的内分泌干扰化学物质。吸附是去除水中壬基酚污染最有前途的方法之一。在这里,为了设计一种具有高吸附能力的吸附剂,通过溶胶-凝胶法在60°C下成功合成了具有不同Mg/Si比的硅酸镁。发现Mg/Si比为1:6的硅酸镁具有最佳的吸附性能。在25°C和0.2g/L吸附剂剂量下,最大4-NP吸附量为30.84mg/g。增加吸附剂剂量和温度会对吸附产生负面影响。通过伪二阶和Sips模型很好地描述了Mg/Si吸附4-NP的动力学和等温线,分别,并且行为被证明是通过化学作用增强的物理吸附。通过XRD详细表征,BET,和SEM证实,硅酸镁具有无定形,介孔结构。该研究将有助于廉价的硅酸镁去除水中NP污染的适用性。
    Nonylphenol (NP) is considered to be an environmentally toxic, endocrine-disrupting chemical that affects humans and ecosystems. Adsorption is one of the most promising approaches for the removal of nonylphenol contamination from water. Herein, in order to design an adsorbent with high adsorption capacity, magnesium silicate with different Mg/Si ratios was successfully synthesized by a sol-gel method at 60 °C. Magnesium silicate with a Mg/Si ratio of 1:6 was found to possess the best adsorption performance, with maximum 4-NP sorption 30.84 mg/g under 25 °C and 0.2 g/L adsorbent dose. The adsorption was negatively affected by increasing adsorbent dose and temperature. The kinetics and isotherm of 4-NP adsorption by Mg/Si were well described by the pseudo-second-order and Sips model, respectively, and behavior was proven to be physisorption-enhanced by a chemical effect. Detailed characterization by XRD, BET, and SEM confirmed that the magnesium silicate possesses an amorphous, mesoporous structure. The study will contribute to the applicability of cheap magnesium silicate for removal of NP contamination in water.
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