Synergistic desulfurization and denitrification agent and preparation and application thereof

文档序号:1663997 发布日期:2019-12-31 浏览:35次 中文

阅读说明:本技术 一种协同脱硫脱硝剂及其制备和应用 (Synergistic desulfurization and denitrification agent and preparation and application thereof ) 是由 黄勇 顾坚 于 2019-09-30 设计创作,主要内容包括:本发明公开了一种协同脱硫脱硝剂及其制备和应用。该协同脱硫脱硝剂由以下重量份的原料制成:脱硫剂20份-30份、脱硝剂40份-50份、催化剂14份-25份和分散悬浮剂0.5份-1份;其基于脱硝剂和脱硫剂,辅以催化剂和分散悬浮剂,无须烟气预除尘处理,在高温炉内实现烟气的直接脱硫脱硝。利用原位生成的NH<Sub>2</Sub>自由基作为还原剂实现脱硝,脱硝过程中产生的H<Sub>2</Sub>O进一步改善脱硫剂与SO<Sub>2</Sub>的接触,进而促进脱硫反应,利用脱硫剂成分吸收一定量的NO<Sub>2</Sub>,两者发挥协同作用,显著提升了烟气脱硫脱硝速率和效果,反应过程在2s-5s即可基本完成,处理后烟气中的SO<Sub>2</Sub>和NO<Sub>x</Sub>浓度已达到超低排放要求。本发明产品制备方法操作简单,适于工业化大规模生产,处理成本低,可广泛用于烟气净化中。(The invention discloses a synergistic desulfurization and denitrification agent and preparation and application thereof. The synergistic desulfurization and denitrification agent is prepared from the following raw materials in parts by weight: 20-30 parts of a desulfurizer, 40-50 parts of a denitrifier, 14-25 parts of a catalyst and 0.5-1 part of a dispersing suspending agent; the method is based on a denitrifier and a desulfurizer, is assisted by a catalyst and a dispersing suspending agent, does not need flue gas pre-dedusting treatment, and realizes direct desulfurization and denitrification of flue gas in a high-temperature furnace. Using in situ generated NH 2 The free radical is used as a reducing agent to realize denitration, and H generated in the denitration process 2 O further improves the desulfurizer and SO 2 Thereby promoting the desulfurization reaction and absorbing a certain amount of NO by utilizing the components of the desulfurizing agent 2 The two components play a synergistic role, the desulfurization and denitrification rate and effect of the flue gas are obviously improved, the reaction process can be basically finished within 2s-5s, and the SO in the treated flue gas 2 And NO x The concentration has reached the ultra-low emission requirement. Preparation of the product of the inventionThe method has simple operation, is suitable for industrial large-scale production, has low treatment cost, and can be widely used for flue gas purification.)

1. The synergistic desulfurization and denitrification agent is characterized by being prepared from the following raw materials in parts by weight:

2. the synergistic desulfurization and denitrification agent according to claim 1, wherein the desulfurizing agent is one or more of alkaline earth metal oxide, alkaline earth metal hydroxide and alkali metal hydroxide;

the denitrifier is a nitrogen-containing organic compound.

3. The synergistic desulfurization and denitrification agent according to claim 1 or 2, wherein the desulfurizing agent is one or more of calcium oxide, magnesium oxide, calcium hydroxide, magnesium hydroxide, sodium hydroxide and potassium hydroxide;

the denitration agent is one or more than two of urea, cyanuric acid, polyaniline and polyamide.

4. The synergistic desulfurization and denitrification agent as claimed in claim 1, wherein the catalyst is selected from a catalytically active material or is formed by mixing a catalytically active material and a catalytic carrier;

the catalytic active substance is one or more than two of transition metal oxides;

the catalytic carrier is one or more than two of materials with high specific surface area.

5. The synergistic agent for desulfurization and denitrification according to claim 4, wherein the transition metal oxide is one or more of manganese dioxide, ferric oxide, copper oxide, vanadium pentoxide, titanium dioxide, nickel oxide, chromium oxide, cobalt oxide and niobium oxide;

the high specific surface area material is one or more than two of porous carbon, zeolite and hydroxy alumina.

6. The synergistic agent for desulfurization and denitrification according to claim 4, wherein the method for preparing the catalyst by mixing the catalytically active material and the catalytic carrier comprises the steps of:

(1) mixing a catalytic active substance, a catalytic carrier and water at a certain temperature and a certain rotating speed for a certain time to obtain slurry;

(2) and (2) drying the slurry obtained in the step (1) for a certain time at a certain temperature under a dynamic vacuum condition to obtain a solid material loaded with a catalytic active substance, namely a catalyst.

7. The synergistic agent for desulfurization and denitrification according to claim 6, wherein the catalytic active substance: a catalytic carrier: the mass ratio of water is (1-2): (2-4): (6-12).

8. The synergistic desulfurization and denitrification agent according to claim 6, wherein in the step (1), the temperature is 40-60 ℃, the rotation speed is 300-500 rpm, and the mixing time is 0.5-3 hours;

in the step (2), the drying temperature is 100-150 ℃, and the dynamic vacuum degree is less than 10-3mPa, and drying for 3-6 hours.

9. The method for preparing the synergistic desulfurization and denitrification agent according to any one of claims 1 to 8, comprising the steps of:

and uniformly mixing the desulfurizer, the denitrifier, the catalyst and the dispersing suspending agent to obtain the synergistic desulfurization and denitrification agent.

10. The use of the synergistic agent for desulfurization and denitrification according to any one of claims 1-8 in flue gas purification.

11. The application of claim 10, wherein the additive amount of the synergistic desulfurization and denitrification agent is NO in flue gasx2-6% of the weight content, and the adding mode is that the air carrier is utilized to spray the mixture into the furnace, and the temperature application range is 800-1150 ℃.

Technical Field

The invention belongs to the technical field of flue gas desulfurization and denitration, and particularly relates to a synergistic desulfurization and denitration agent, and preparation and application thereof.

Background

With the rapid development of Chinese economy, people have more and more demands on energy. The energy structure of China still takes the traditional fossil fuel as a main form and is assisted by solid waste energy conversion technologies such as waste incineration power generation and the like, and a large amount of SO is released during combustion2And NOxThe harmful gases cause the problems of acid rain, photochemical smog, ozone cavity and the like, and the likeThe living environment of human beings is seriously influenced. At present, higher requirements are put forward for atmospheric environment treatment, and on one hand, source prevention and process control are required to be carried out, SO that SO is reduced2And NOxOptimizing combustion reaction by waiting for harmful gas emission sources; on the other hand, the tail end treatment technology needs to be upgraded, and efficient and economic flue gas purification materials and treatment technologies need to be developed.

At present, flue gas purification-desulfurization and denitrification (SO removal)2And NOx) The technology basically adopts a process of separately treating desulfurization and denitrification, namely, respective purification processes are respectively realized in independent reaction towers, which is caused by the great difference of the treatment temperatures of the two processes, so that a flue gas purification system is huge, the operation is complex, and the operation and maintenance cost is very high. Based on the existing desulfurization and denitrification separated treatment mode, domestic and foreign scientists and commercial institutions have developed various desulfurization and denitrification purification materials: 1) desulfurizing agent: lime stone/lime, magnesium oxide, ammonia water, sodium hydroxide/sodium bicarbonate and the like are pretreated to obtain slurry or aqueous solution of corresponding materials, SO that the desulfurizing agent and SO in the flue gas are promoted2Fully contact and absorb to form sulfite, thereby achieving the aim of desulfurization; 2) a denitration agent: ammonia or urea solution as reducing agent with NOxReaction to produce N2And water to achieve the aim of denitration.

Denitration in flue gas purification is a difficult point. In order to improve the reaction efficiency of the denitrifier, the denitration process can be realized by the action of a catalyst or temperature, and therefore, the denitration process can be divided into the following steps: selective Catalytic Reduction (SCR) and non-selective catalytic reduction (SNCR). Both of them use ammonia water or urea solution as reducer. The SCR technology is to react NO under the action of a catalystxReduction to N2And water at 170-300 deg.c, with V as common catalyst2O5-WO3/TiO2、V2O5-MoO3/TiO2And V2O5-WO3-MoO3/TiO2Which is pre-placed in the reactor in a special shape (flat, corrugated or honeycomb) to facilitate the uniform flow of flue gases. The SNCR method does not need a catalyst, but needs to be assisted by higher reaction temperature (generally 800-1050 ℃), although the process is simplifiedThe method avoids secondary pollution and maintenance cost caused by catalyst introduction, but the SNCR system only depends on a reducing agent for denitration, the efficiency is greatly reduced, the efficiency is only between 15 and 66 percent, and the current emission limit value (250 mg/m) can be met3) But the requirement of ultra-low emission (100 mg/m) in the future is difficult to be met3Within). In addition, ammonia water used in the two processes is a dangerous chemical, so that potential safety hazards in transportation and storage are high; when urea is used as a reducing agent, a urea dissolving step needs to be additionally introduced, so that the complexity of the denitration process is increased.

In recent years, researchers have developed and reported a variety of novel agents and techniques capable of simultaneously removing sulfur and nitrogen. Chinese patent publication No. CN102824844B discloses a method for preparing a nano-scale MgO and SiO-based coating2、 CaO、Fe2O3、Al2O3、CuO、MnO2And KMnO4When the desulfurization and denitrification agent is applied, the materials are prepared into aqueous slurry, and NO which is difficult to dissolve in water in the flue gas is converted into NO by potassium permanganate in the range of 125-145 ℃ flue gas section2Introducing SO2Oxidation to SO3,NO2And SO3Absorbed by water and changed into acid, and the acid and the composite oxide form a stable complex, and simultaneously the oxygen content in the flue gas is controlled, so that the complex is continuously oxidized, and the aims of desulfurization and denitrification are fulfilled, but the introduction of a strong oxidant brings a severe test to the process safety. The Chinese patent application with publication number CN107485990A discloses a nano-scale desulfurization and denitrification agent component in Chinese patent with publication number CN102824844B, but the dry desulfurization and denitrification is adopted, so that the slurry preparation process is omitted, and a large amount of industrial waste liquid is avoided; the method is also used for treating the flue gas section waste gas, the treatment temperature is 105-160 ℃, but the reaction rate of the desulfurization and denitrification agent is slow, and the desulfurization and denitrification effect can be ensured only by contacting the flue gas for 30-60 min. The Chinese patent application with publication number CN107694576A discloses a desulfurization and denitrification agent component similar to that in Chinese patent with publication number CN102824844B and Chinese patent application with publication number CN107485990A, which is made of TiO2And ZrO2As a carrier, V2O5、CoO、Co2O3、Fe2O3And MnO2As catalyst, KMnO4The material is a strong oxidant, and is firstly prepared into slurry, and then subjected to heat treatment and grinding to prepare a micron-sized desulfurization and denitrification agent; the method also treats the waste gas in the flue gas section, the treatment temperature is 110-170 ℃, the medicament is required to be preset in a specific reactor, and the desulfurization and denitrification agent only exerts the function of reducing NOxAnd SO2Conversion to NO2And SO3Effect of NO2And SO3The treatment depends on the absorption of nano-scale MgO, the treatment process is complex, the treating agent and the absorbing agent are required to be replaced regularly, and the maintenance cost is higher.

Chinese patent application publication No. CN107344101A discloses a particulate desulfurization and denitrification agent comprising an inner core and an outer layer, wherein the inner core comprises nano zirconia, activated carbon fibers, transition metal oxides and rare earth oxides as main components; the outer layer takes carbon molecular sieve, nano zirconia and adhesive as main components. The desulfurization and denitrification agent is pre-loaded in a packing layer of a special desulfurization and denitrification tower, ammonia gas and air are introduced into waste gas, the temperature is maintained at 150-250 ℃, mixed gas is subjected to multiple circulating reactions in an absorption tower, and treated flue gas is washed by water and then discharged, so that the desulfurization and denitrification process is completed. The whole treatment process is complicated, and the pre-loaded catalyst can generate SO in the use process2Poisoning requires periodic replacement of the catalyst, increasing the cost of later maintenance.

Chinese patent publication No. CN107597140B discloses a method for preparing activated carbon by using Cu (NO) based on the mixture of semicoke particles and CaO as an active carrier3)2、Mn(NO3)2The solution is used as a precursor, and the technology of equal volume impregnation and high temperature calcination is adopted to prepare CuO and MnO2A method of a supported desulfurization and denitrification agent. During treatment, the desulfurization and denitrification agent also needs to be placed in a special desulfurization and denitrification reactor in advance, and ammonia gas is introduced into the reactor at the temperature of 130-160 ℃ to carry out desulfurization and denitrification reaction. It can be seen that the desulfurization and denitrification technology also faces the problems of catalyst poisoning, catalyst regeneration treatment or replacement, and the like.

In summary, various desulfurization and denitrification agents and technologies have been reported at present, core components have commonness, metal oxides are mostly used as catalysts, oxides and carbon materials are used as carriers, but the preparation process and the pharmaceutical form are different, and although the treatment temperature section is in the low temperature section, the treatment method and the effect are also obviously different. At present, the desulfurization and denitrification agent and the treatment technology still have the following problems:

1) in the traditional technology, desulfurization and denitrification are separately treated, the process is complex, the equipment investment is large, and the maintenance cost is high;

2) the flue gas of the existing desulfurization and denitrification agent and technology needs to be subjected to pre-dedusting treatment, the flue gas to be treated still needs to be introduced into a special reactor with the desulfurization and denitrification agent in advance for flue gas purification, the desulfurization and denitrification agent is easy to neutralize, catalytic regeneration treatment or replacement needs to be involved, and the maintenance cost is high;

3) the core material of the existing desulfurization and denitrification agent is an inorganic material, relates to dangerous chemicals, has poor safety and low purification reaction activity, and needs to be subjected to cyclic reaction or stay time extension to improve the desulfurization and denitrification effect.

Therefore, the high-activity desulfurization and denitrification material and technology are developed, the flue gas is treated by synergistic desulfurization and denitrification, the treatment process is simplified, the equipment transformation investment is reduced, the operating cost is reduced, and the material and the technology have obvious scientific research significance and practical value.

Disclosure of Invention

The invention aims to provide a synergistic desulfurization and denitrification agent which is pure solid powder and is disposable, and is based on a denitrification agent and a desulfurizing agent (core material) and assisted by a catalyst and a dispersing suspending agent, so that the direct desulfurization and denitrification of flue gas can be realized in a high-temperature furnace.

The invention also aims to provide a preparation method of the synergistic desulfurization and denitrification agent, which can realize uniform mixing and contact of various raw materials, is simple and convenient to operate, has low cost and is beneficial to industrial mass production.

The invention also aims to provide the application of the synergistic desulfurization and denitrification agent, wherein the application can utilize compressed air as a carrier, directly spray dry powder agent into the high-temperature furnace to act on high-temperature flue gas, fully utilize the heat energy in the furnace to improve the reaction rate and degree and realize the direct and synchronous removal of SO2AndNOxthe method has the advantages of no need of pre-dedusting treatment, small dosage of the desulfurization and denitrification agent, high desulfurization and denitrification efficiency and stable operation.

In order to achieve the purpose, the invention adopts the following technical scheme:

a synergistic desulfurization and denitrification agent is prepared from the following raw materials in parts by weight:

the invention discovers that the desulfurizer and the denitrifier have synergistic effect when used simultaneously, have obviously improved desulfurization or denitration effect compared with the desulfurization or denitration effect when used separately, and can synchronously remove SO in flue gas2And NOxThe using amount of the desulfurization and denitrification agent is small, the desulfurization and denitrification efficiency is high, and the operation is stable. The synergistic desulfurization and denitrification agent is based on a denitrification agent and a desulfurizer, is assisted by a catalyst and a dispersing suspending agent, does not need flue gas pre-dedusting treatment, and realizes direct desulfurization and denitrification of flue gas in a high-temperature furnace, and specifically comprises the following steps: selective in situ generation of NH at specific temperatures in high temperature furnaces2Free radicals, using in situ generated NH2The free radical is used as a reducing agent to realize denitration, and H generated in the denitration process2O further improves the desulfurizer and SO2Thereby promoting the desulfurization reaction and absorbing a certain amount of NO by utilizing the components of the desulfurizing agent2The two components play a synergistic role, and the catalyst and the dispersing suspending agent are used as auxiliary materials, SO that the desulfurization and denitrification rate and effect of the flue gas are obviously improved, the reaction process can be basically completed within 2s-5s, and the SO in the treated flue gas2And NOxConcentrations have reached ultra-low emission requirements. In addition, the materials of the synergistic desulfurization and denitrification agent are common chemicals, so that the synergistic desulfurization and denitrification agent is high in safety, low in cost and high in industrial application value.

In order to achieve a better effect of the invention, the following preferable steps are performed:

the desulfurizer selects one or more than two of alkaline earth metal oxide, alkaline earth metal hydroxide and alkali metal hydroxide; further preferably, one of calcium oxide, magnesium oxide, calcium hydroxide, magnesium hydroxide, sodium hydroxide and potassium hydroxide is selectedOne or more than two. The material has excellent SO absorption2The capacity of the method is common chemicals and the cost is low.

The denitrifier is a solid nitrogen-containing organic compound (C)aHbOcNd) (ii) a Further preferably, one or more of urea, cyanuric acid, polyaniline and polyamide are selected. The material can be decomposed at a certain temperature to generate high-activity NH in situ2The free radicals play a role of a denitration reducing agent, are common chemicals and have low cost.

The preferable desulfurizer and the denitrifier have a remarkable synergistic effect.

The catalyst can obviously reduce the activation energy barrier of desulfurization and denitrification reactions, so that the synergistic desulfurization and denitrification agent has extremely high flue gas purification activity, realizes rapid desulfurization and denitrification, and can be selected from catalytic active substances or formed by mixing the catalytic active substances and catalytic carriers. The catalyst formed by mixing the catalytic active substance and the catalytic carrier can be formed by directly mixing the catalytic active substance and the catalytic carrier or can be formed by loading the catalytic active substance on the catalytic carrier. The composite catalyst prepared by loading catalytic active substances on the catalytic carrier is further preferably adopted, so that the reaction efficiency of solid gas (the desulfurization and denitrification agent and the waste gas) is further improved.

The catalytic active substance is one or more than two of transition metal oxides; further preferably, one or more of manganese dioxide, ferric oxide, copper oxide, vanadium pentoxide, titanium dioxide, nickel oxide, chromium oxide, cobalt oxide, and niobium oxide (such as niobium pentoxide) are selected. The materials have variable valence, high electron mobility, excellent oxidation-reduction performance, easy acquisition, low addition and controllable cost.

The catalytic carrier is made of one or more than two materials with high specific surface area. The high specific surface area material typically has a Specific Surface Area (SSA) of 50m2/g-1200m2(ii) in terms of/g. More preferably, one or more of porous carbon (C), Zeolite (Zeolite), and aluminum oxyhydroxide are selected. The material has excellent load capacity,Compatibility and adsorption capacity, improves the loading capacity of the catalyst, improves the contact effect among different raw materials, and promotes the flue gas and the in-situ generation of NH2The surface adsorption of free radicals further improves the desulfurization and denitrification effects.

The catalytically active material: the mass ratio of the catalytic carrier is preferably (1-2): (2-4).

The preparation method of the catalyst comprises the following steps:

(1) mixing a catalytic active substance, a catalytic carrier and water at a certain temperature and a certain rotating speed for a certain time to obtain slurry;

(2) and (2) drying the slurry obtained in the step (1) for a certain time at a certain temperature under a dynamic vacuum condition to obtain a solid material loaded with a catalytic active substance, namely a catalyst.

The catalytically active material: a catalytic carrier: the mass ratio of water is (1-2): (2-4): (6-12). The proportion can ensure the sufficient contact among the raw materials, improve the load of the catalytic active substances on the carrier and improve the preparation efficiency.

In the step (1), the temperature is 40-60 ℃, the rotating speed is 300-500 r/min, and the mixing time is 0.5-3 hours, so as to accelerate and ensure the uniform loading of the catalytic active substance on the carrier.

In the step (2), the drying temperature is 100-150 ℃, and the dynamic vacuum degree is less than 10-3mPa, and drying for 3-6 hours to ensure the removal of water.

The dispersing suspending agent is mainly used for improving the mixing uniformity and powder discharging fluency of raw materials, and the desulfurizer, the denitrifier and the catalyst can be uniformly suspended in the furnace by utilizing the characteristic of easy suspension; the dispersing suspension may be selected according to the conditions. The dispersing and suspending agent is preferably a light dispersing and suspending agent, and fumed silica can be selected; by utilizing the characteristic of light weight and easy suspension, the desulfurizer, the denitrifier and the catalyst can be quickly diffused with the help of the carrier gas and are uniformly distributed in the furnace, so that the desulfurization and denitrification reaction degree and speed are remarkably improved, and the escape of ammonia is effectively inhibited.

The synergistic desulfurization and denitrification agent is solid powder. Preference is given toThe solid powder is mainly in the order of micrometers. Further preferably, D of the synergistic desulfurization and denitrification agent50Is in the range of 40 μm to 50 μm (most preferably 40 μm to 45 μm) and has a primary particle size distribution in the range of 10 μm to 90 μm (most preferably 30 μm to 80 μm). The main particle size distribution range in the present invention means a particle size range in which particles in the particle size range occupy 90% or more by volume of the entire particles. The size of the optimized specific synergistic desulfurization and denitrification agent can ensure that each particle can form a high-activity micro-area reaction system, so that the waste gas removal rate and the N are improved2And (4) selectivity.

The preparation method of the synergistic desulfurization and denitrification agent comprises the following steps:

uniformly mixing a desulfurizer, a denitration agent, a catalyst and a dispersing suspending agent to obtain the synergistic desulfurization and denitration agent, wherein the desulfurization and denitration agent is solid powder.

The mode of uniform mixing preferably adopts a direct crushing and mixing mode, and the preparation process is simplified. Further preferably, the D is prepared by mixing and reacting for 20 to 60 minutes by a high-speed (600 to 1000 revolutions per minute) stirring crusher at the reaction temperature of between 30 and 50 DEG C5040-50 μm, 10-90 μm main particle size distribution range and uniform mixing.

The synergistic desulfurization and denitrification agent can be applied to flue gas purification, and particularly can be applied to synchronous desulfurization and denitrification of flue gas.

The addition amount of the synergistic desulfurization and denitrification agent in the application is preferably NO in flue gasx(nitrogen oxide) content of 2-6 wt%. The adding mode of the synergistic desulfurization and denitrification agent in the application is that the synergistic desulfurization and denitrification agent is sprayed into the high-temperature incinerator by utilizing an air carrier, the temperature application range is 800 ℃ -1150 ℃ (preferably 800 ℃ -1050 ℃), the dosage of the desulfurization and denitrification agent is small, the desulfurization and denitrification efficiency is high, and the operation is stable.

Compared with the prior art, the invention has the beneficial effects that:

the invention compounds the desulfurizer and the denitrifier, in particular to compound the solid nitrogen-containing organic compound and one or more than two of alkaline earth metal oxide, alkaline earth metal hydroxide and alkali metal hydroxideIntroducing a catalyst (consisting of one or more of manganese, iron, cobalt, copper and the like), particularly a composite catalyst (realizing uniform loading of the catalyst) with the assistance of a high-specific-surface-area inorganic porous material, so as to realize effective adsorption of the flue gas; in situ generated NH2The free radicals can basically complete the desulfurization and denitrification reaction within 2s-5s under the excitation of the catalyst; h produced in denitration process2O can further improve the desulfurizer and SO2Thereby promoting the desulfurization reaction; at the same time, the desulfurizing agent such as alkaline earth metal oxide can also absorb a certain amount of NO2The flue gas desulfurization and denitration are promoted synergistically, and the desulfurization or denitration effect is obviously improved compared with that of the flue gas desulfurization and denitration which are used singly. The dispersion suspending agent (such as fumed silica) is utilized to further improve the mixing uniformity and powder discharging fluency of the raw materials, and the characteristic of easy suspension of the dispersion suspending agent is utilized to ensure that the desulfurization and denitrification agent with specific particle size can be rapidly diffused and uniformly suspended and distributed in the furnace to form a plurality of complete micro-zone reaction systems containing the desulfurizing agent, the denitrification agent, the catalyst and the dispersion suspending agent, thereby ensuring the extremely rapid and complete proceeding of the desulfurization and denitrification reaction. The invention has obvious effect of desulfurization and denitrification and reaches SO2And NOxUltra-low emission requirements.

The synergistic desulfurization and denitrification agent can be widely used for flue gas purification, and the treatment cost of flue gas purification is low.

The preparation method of the synergistic desulfurization and denitrification agent can realize uniform mixing and contact of various raw materials, is simple to operate, has low cost and is suitable for industrial large-scale production.

Drawings

FIG. 1 is a particle size distribution diagram of the synergistic agent A for desulfurization and denitrification prepared in example 5 of the present invention.

Detailed Description

The present invention will be described in further detail with reference to specific examples.

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