Materials Transactions, Vol. 51, No. 6 (2010) pp. 1102 to 1108 #2010 The Japan Institute of Metals Production of Metallic Vanadium by Preform Reduction Process Akihiko Miyauchi1; * and Toru H. Okabe2 1 2 Department of Materials Engineering, Graduate School of Engineering, the University of Tokyo, Tokyo 113-8656, Japan Institute of Industrial Science, the University of Tokyo, Tokyo 153-8505, Japan A fundamental study was conducted on a new process for producing vanadium (V) metal by the preform reduction process (PRP) based on metallothermic reduction of vanadium pentoxide (V2 O5 ). Feed preforms with good mechanical strength even at elevated temperatures were prepared by adding either CaO or MgO to V2 O5 feed powder because V2 O5 has a low melting point of 963 K; thus complex oxides (Cax Vy Oz , Mgx Vy Oz ) with high melting point at more than 1273 K were obtained. Reduction experiments were conducted by using either Ca or Mg vapor at 1273 K for 6 h. V metal with a purity of more than 99% was successfully obtained when using Mg as a reductant. The feasibility of producing V metal by the PRP will be discussed on the basis of fundamental experiments. [doi:10.2320/matertrans.M2010027] (Received January 26, 2010; Accepted March 16, 2010; Published April 28, 2010) Keywords: vanadium, reduction process, metallothermic reduction 1. Introduction Vanadium (V) is a transition-metal element with an atomic number of 23. V metal is the 20th most abundant element among all elements in the earth’s crust. The abundance of V metal is 120 ppm in the earth’s crust, which is significantly larger than the well-used common metals such as nickel (Ni, 84 ppm, 23rd rank) and copper (Cu, 60 ppm, 26th rank).1,2) However, V metal belongs to a set of less common metals or ‘‘rare metals’’ since the production volume of V metal was only 58 kt in 2007 and is far smaller as compared to that of common metals.3) The small production volume of V metal is partly due to its low concentration in the ore and uneven distribution of its minerals. The principal V metal minerals such as titanomagnetite contain only 1–2 mass% of V2 O5 .4) The majority of the mineral resources are distributed in three countries: China, Russia, and South Africa. V metal and its alloys are mainly used as additive elements (alloying elements) or as catalysts. In Japan, more than 85% of V metal is used as an additive in steel products for improving their tensile strength and heat resistance.5) Special steel containing V metal is applied in bridges, industrial tools, etc. In the field of chemical industries, V compounds are utilized as a desulfurization catalyst in sulfuric acid production processes. Furthermore, vanadium-titanium (VTi) alloys are now attracting considerable attention as new electrode materials in hydrogen storage batteries, because V has high hydrogen storage capacity at ambient temperature and moderate pressure.6–8) Considering the expanding market for hydrogen storage batteries, the demand for V-Ti alloys may be expected to increase in the future. Currently, V feed for smelting V metal is produced in the form of its oxide (V2 O5 ) as a byproduct of steel slag or as a residue of oil, and these V2 O5 feeds are mostly used as a starting material for V products. V metal is commercially produced by the aluminothermic reduction (ATR) of V2 O5 .9,10) Although this process is simple and economical, the product is not a high-purity V metal; it is a vanadiumaluminum (V-Al) alloy containing 20 mass% of aluminum *Graduate Student, the University of Tokyo (Al). In order to produce high-purity V metal, multiple melting steps by using an electron beam melting process are necessary for removing the Al. For this reason, the ATR process is not a suitable production process of high-purity V metal. In the past, some researchers attempted to develop an alternative to the ATR process for producing V metal. Metallic V with more than 99% purity was first produced through calciothermic reduction by Marden and Rich.11) They used a mixture of V2 O5 , Ca and CaCl2 at 1173–1223 K. McKechenie and Seybolt proposed another reaction based on calciothermic reduction with a small amount of flux such as CaI2 .12) Gregory researched calciothermic reduction of V2 O3 .13) In order to eliminate oxygen contamination, chloride metallurgy for producing high purity V metal was investigated by Campbell et al.14) Preparation of high-purity V by the Van Arkel-de Boer process (Iodide disproportionaton process) was studied by Carlson et al.15,16) However, an effective production process suitable for commercial mass production has not been established at this stage. Therefore, the development of a simple and efficient production process of high-purity V metal is strongly required. In the recent years, Suzuki et al. investigated electrochemical reduction of V2 O5 or V2 O3 in molten CaCl2 for producing high purity V metal and its alloys,17–19) as well as calciothermic reduction of V2 O5 and TiO2 for producing V-Ti alloys.20) With these backgrounds, the present study aims to develop a new process for the effective production of V metal from its oxide by utilizing a simple metallothermic reduction. 2. Preform Reduction Process (PRP) As an effective production process of high-purity V metal from V2 O5 , we selected the preform reduction process (PRP).21–23) Feed preforms are prepared by mixing a starting material oxide feed, flux, and binder solution. After drying, the preforms have sufficient mechanical strength to stand alone. By utilizing the features of the mechanical structure of the feed preforms, contamination from the reduction container can be prevented. In the PRP, the oxide in the preforms is directly reduced to metal by reductant vapor. After reduction, the produced metal is recovered by leaching. The advantages Production of Metallic Vanadium by Preform Reduction Process Temperature, T / K 0 2000 -200 3/2 Fe + -400 + 4/5 V -600 O2 = 1/2 Vapor pressure of element i, log pi / atm Standard Gibbs energy of formation, ∆G°f / kJ mol -1 Reduction temperature Fe 3O4 /5 V 2O 5 O2 = 2 = TiO2 Ti + O 2 l O3 2/3 A 2 = O l+ 2 4/3 A -800 -1000 2 CaO O2 = + a 2C gO =2M O 2 + g -1200 2M -1400 300 500 700 900 1100 1300 1000 500 P °Mg = 0.458 atm at 1273 K -2 P °Ca = 0.018 atm at 1273 K Mg -4 Al Ca Fe -6 Ti -8 -10 V 0.5 Temperature, T / K Fig. 1 1103 1.0 1.5 2.0 Reciprocal temperature, 1000 T -1 / K-1 Ellingham diagram of some selected oxides.24) Fig. 2 Vapor pressure of some selected elements as a function of reciprocal temperature.24) of this process are its effective control of purity and morphology and its ability to flexibly scale the reduction process. Contamination into the product can be easily avoided because the feed material in the self-supporting preform does not have physical contact with the reaction container or the reductant. Highly flexible scalability is achieved as it is possible to simultaneously treat multiple pieces of preforms in a single reduction chamber. Furthermore, the amount of molten salt (or flux) used in this process is smaller than that used in other processes. 3. atures at above melting point of V2 O5 . In order to solve this problem, V2 O5 was mixed with flux such as magnesium oxide (MgO) or calcium oxide (CaO) and calcined to synthesize complex vanadium oxides. In Fig. 3, equilibrium phase diagrams of V2 O5 -MgO and V2 O5 -CaO quasi binary systems are shown.26,27) It is expected that Mg2 V2 O7 and Ca2 V2 O7 maintain enough mechanical strength even at the reduction temperature (Tred. ¼ 1273 K) because these compounds have high melting points. Thermodynamic Analysis 4. A reductant suitable for the PRP and the optimum reduction temperature were studied from the thermodynamic view-point. Calcium (Ca) or magnesium (Mg) was selected as a suitable reductant for the V2 O5 reduction by considering the Gibbs energies for the formation of oxides shown in Fig. 1.24) For reducing V2 O5 by the PRP, the reductant metal has to be supplied in a vapor form. The vapor pressure of some selected elements as a function of temperature is illustrated in Fig. 2.24) In order to have an efficient supply of a reducing agent in the gas phase, it is desirable that the vapor pressure of the reducing agent is higher than 104 atm at the reduction temperature.25) In this study, 1273 K was selected as the reduction temperature because their vapor pressures are higher than 103 atm, which is high enough for sufficient gas supply of the reducing agents. The melting point of V2 O5 is 963 K, which is lower than the reduction temperature. This low melting point causes difficulty in the fabrication of a suitable feed preform for the PRP. The preforms fabricated only from V2 O5 and a binder cannot retain their mechanical shapes at elevated temper- Experimental A flowchart of the production of V metal by the PRP employed in this study is shown in Fig. 4. The PRP of V2 O5 using Ca or Mg vapor as a reductant consisted of four major steps: preform fabrication, calcination, reduction by reductant vapor, and sample recovery by acid leaching. Firstly, the feed preform was fabricated from a slurry made of V2 O5 powder (99.9% purity), CaO or MgO powder as a flux, and a collodion solution (5 mass% nitrocellulose in ethanol and ether) as a binder. The experimental conditions for preparing the feed preform using the Ca or Mg vapor were determined. The viscosity of the slurry was controlled by varying the amount of the flux and binder. The cationic molar ratio, RCat./V , listed in Table 1 is defined as RCat./V ¼ NCat. =NV , where NCat. and NV are the mole amounts of the cation in the flux and V, respectively. Plate-shaped preforms with a thickness of 3–10 mm were prepared by casting the obtained slurry into a stainless steel mold. Secondly, the cast preforms were heated and calcined in air for 2 h at calcined temperatures. 1104 A. Miyauchi and T. H. Okabe Table 1 Experimental conditions for the preparation of feed preforms. Mass of sample, wi /g Cationic molar ratio, RCat./V 2 Calcined temperature, Tcal. /K Calcined time, t00 cal. /h Note (Corresponding figures) CaO Binder Collodion1 1.19 — 4.02 1.0 1173 2 Fig. 6(a) 1.79 — 4.56 1.5 1173 2 2.68 — 1.67 4.66 1.0 1173 2 2.68 — 2.48 5.25 1.5 1173 2 A-5 2.68 1.19 — 4.09 1.0 873 ! 1173 2 A-6 2.68 1.79 — 4.60 1.5 873 ! 1173 2 A-7 2.68 — 1.67 4.76 1.0 873 ! 1173 2 A-8 2.68 — 2.48 5.29 1.5 873 ! 1173 2 Exp. no. Flux Feed V2 O5 MgO A-1 2.68 A-2 2.68 A-3 A-4 1 2 Fig. 6(b), Fig. 7(a) (c), Fig. 8 Fig. 7(b) (d), Fig. 9 Collodion solution (5 mass% nitrocellulose in ethanol and ether) was used. RCat./V ¼ xCat. =xV , xcat. : mole amounts of cations in flux, xV : mole amounts of vanadium. Flux (a) 1100 1074°C V2O5 Binder Mixing / casting Mg3(VO4)2 + L Reduction temp. in this study (1273 K) Preform fabrication Feed preform Mg2V2O7 + Mg3V2O8 Mg2V2O7 + L V2O5 + L 670°C MgV2O6 + L Mg2V6O17 + L V2O5 + Mg2V6O17 500 0 V2O5 20 Mg2V2O7 MgV2O6 604°C 40 Calcination Reductant (Ca or Mg) 50% CH3COOH aq., 20% HCl aq., Distilled water, Isopropanol, Acetone Leaching L S Waste solution Vacuum drying 80 (MgO) 60 Reduction Reduced preform MgV2O6 + 640°C Mg2V2O7 700 742°C Mg3V2O8 L Mg3V2O8 + MgO 900 Mg2V6O17 Temperature, T’ / °C 980°C MgO content, x MgO (mol%) V metal powder Fig. 4 Flowchart of the production of V metal by PRP in this study. (b) 1380°C 1200 Reduction temp. in this study (1273 K) 800 778°C 0 V2O5 20 40 CaV2O6 618°C 600 1015°C Ca3V2O8 1000 L Ca2V2O7 Temperature, T’ / °C 1400 60 (CaO) CaO content, x CaO (mol%) Fig. 3 Equilibrium phase diagram of (a) V2 O5 -MgO quasi-binary system,26) (b) V2 O5 -CaO quasi-binary system.27) Figure 5(a) is a schematic illustration of the experimental apparatus used for the calcination step. In this calcination step, the binder and water in the feed preforms were removed, and an adequate amount of mechanical strength was further granted to the preforms. Then, the calcined preforms were installed in a reaction vessel and reduced by the Ca or Mg vapor in the reduction step. Figure 5(b) is a schematic illustration of the experimental apparatus used for producing V metal by the PRP. Four pieces of the calcined preforms (4–6 g each) containing vanadium oxides were placed in a thick-walled stainless steel vessel, and the reductant solid was placed at the bottom of the vessel. Two times excess stoichiometric amount of reductant (Ca or Mg) was used in the reduction experiment (see RR values in Table 2). The reductant solid was physically isolated from the feed preform, and the reductant vapor was supplied to the feed preform. Sponge titanium was also placed at the bottom of the vessel for gettering the nitrogen gas in the system. After being sealed by tungsten inert gas (TIG) welding, the Production of Metallic Vanadium by Preform Reduction Process 1105 Table 2 Experimental conditions for the reduction experiments, and representative analytical results of vanadium powder obtained after reduction. Exp. no. Flux Reductant Composition of vanadium powder Mass of samples, wi /g Cationic molar ratio, RCat./V 1 Excess reductant ratio, RR 2 Reduction temperature, Tred. /K Reduction time, t00 red. /h 1.5 1.5 2.0 2.0 1273 1273 6 6 obtained after reduction, Ci 3 /mass% Calcined preform, wcal. /g Reductant, wR /g CV CMg CCa CFe CCr 3.937 3.670 3.345 4.906 99.7 86.0 0.2 2.4 — 10.6 0.01 0.3 0.03 0.5 A-6-1 A-6-2 MgO MgO Mg Ca A-8-1 CaO Mg 1.5 2.0 1273 6 3.474 2.573 85.4 — 13.0 0.2 0.4 A-8-2 CaO Ca 1.5 2.0 1273 6 3.604 3.976 79.0 — 20.4 0.1 0.4 1 RCat./V ¼ xCat. =xV , xcat. : mole amounts of cations in flux, xV : mole amounts of vanadium Excess reductant ratio: RR ¼ wR =wR,theo. , wR,theo. : stoichiometic mass of reductant necessary for reduction. 3 Determined by XRF; value excludes carbon and gaseous elements. 2 (a) Alumina tube Ceramics chamber ature. It was then successively rinsed with distilled water, alcohol, and acetone, followed by drying in vacuum. The phases in the sample were identified using X-ray diffraction analysis (XRD; Rigaku, Rint 2000, Cu–K line). The composition of the sample was determined by X-ray fluorescence spectrometry (XRF; JEOL Ltd., JSX-3210). Heating element Thermocouple Alumina crucible Feed preform (b) TIG weld Stainless steel cover Stainless steel reaction vessel Feed preform (V2O5 + flux) Stainless steel plate Reductant (Ca or Mg) Ti sponge getter Fig. 5 Schematic illustration of the experimental setup for (a) the calcination experiment, (b) the reduction experiment. steel reaction vessel was then heated in an electric furnace maintained at a constant temperature of 1273 K for 6 h; the preforms reacted with the reductant vapor. After 6 h of reaction, the reaction vessel was removed from the furnace and was quenched in water. Finally, the preforms in the container were mechanically recovered at room temperature by opening the sealed vessel with a lathe. The product in the preforms obtained after the reduction experiment was recovered by leaching the preforms with an acid, i.e. by dissolving the reaction product (CaO/MgO), flux, and excess reductant in an acetic acid solution. The obtained product was rinsed with hydrochloric acid at room temper- 5. Results and Discussion 5.1 Calcination process The plate-shaped preform was fabricated by casting feed slurry prepared by mixing V2 O5 , flux, and the collodion solution. The size of the preform was 50 20 4 mm, and it was beige in color. Figure 6 shows representative photographs of the obtained samples after calcination experiment. As shown in Fig. 6(a), samples (Exp. A-1-Exp. A-4) did not sustain their original shapes, after the calcination process at a constant temperature of 1173 K for 2 h because of melting V2 O5 in the feed preforms immediately after starting calcination procedure. Samples with a cationic molar ratio of RCat./V ¼ 1:5 (Exp. A-6 and Exp. A-8) maintained their original shape (see Fig. 6(b)), after the calcination step at temperatures ranging from 873 K to 1173 K in 2 h. In contrast, other samples with RCat./V ¼ 1:0 (Exp. A-5 and Exp. A-7) did not retain their original shapes since they lost their mechanical strengths due to the melting of V2 O5 . The preforms which retained their shapes were successfully produced in the calcination process by adjusting both the amount of flux and the calcination temperature. Figure 7 presents the appearance and X-ray diffraction patterns of the samples (Exp. A-6 and Exp. A-8) obtained after the calcination process. The shape and color of the preform were retained after performing calcination at temperatures rising from 873 K to 1173 K in 2 h. By the reaction between V2 O5 and the flux, Mg2 V2 O7 or Ca2 V2 O7 were formed in the obtained preforms. Although the melting point of Mg2 V2 O7 is slightly lower than 1273 K (see Fig. 3), the preforms demonstrated sufficient mechanical strength even at elevated temperatures. This is probably because MgO and Mg3 V2 O8 in the preforms contribute to maintaining the shape of preforms, and Mg2 V2 O7 is reduced to V metal or suboxides before melting the parts of preforms. The detail reason is under investigation. 1106 A. Miyauchi and T. H. Okabe (a) Melted preform (a) Exp. A-6 (Flux: MgO, aR Cat. / V = 1.5) (b) Exp. A-8 (Flux: CaO, aR Cat. / V = 1.5) (b) Solid preform (c) Exp. A-6 (Flux: MgO, aR Cat. / V = 1.5) Intensity, I (a.u.) MgO 20 JCPDS # 77-2364 Mg2V2O7 JCPDS # 70-1163 30 40 50 60 Angle, 2 θ (degree) 70 80 (d) Exp. A-8 (Flux: CaO, aR Cat. / V = 1.5) 5.2 Magnesiothermic reduction (Exp. A-6-1 and Exp. A8-1, reductant: Mg) Figure 8 illustrates the appearance and the representative XRD patterns of the samples with MgO flux obtained after each step in Exp. A-6-1, and the experimental conditions for reduction experiments are presented in Table 2. The color of the preform changed to a jet-black color after the PRP by Mg vapor at 1273 K for 6 h (Fig. 8(a)), and the shape of the preform was slightly deformed. However, it was easy to recover the preform from the reaction vessel because it was physically isolated from the vessel even after reduction. These results indicate that this PRP is suitable for avoiding contamination from the reaction vessel. During the leaching step in the acetic acid solution, the original shape of the preform was lost and a powder with a grayish black color was obtained without pulverizing the reduced preform (Fig. 8(b)). Figure 8(c) presents an XRD pattern of the preform after reduction at 1273 K for 6 h. All the complex oxides were reduced to V metal by the Mg vapor. The morphology of the sample was sponge like metal powder. A summary of the analytical results of the obtained V powder CaO Intensity, I (a.u.) Fig. 6 Photograph of the obtained samples in the alumina crucible after the calcination experiment, (a) Exp. A-1 (Flux: MgO, RCat./V ¼ 1:0, Tcal. ¼ 1173 K), (b) Exp. A-6 (Flux: MgO, RCat./V ¼ 1:5, Tcal. ¼ 873 ! 1173 K). 20 JCPDS # 77-2010 Ca2V2O7 JCPDS # 72-2312 30 40 50 60 Angle, 2 θ (degree) 70 80 Fig. 7 The obtained sample after the calcination process. (a RCat./V ¼ xCat. =xV , xcat. : mole amounts of cations in flux, xV : mole amounts of vanadium.) (a) Photograph of the preform (Exp. A-6, Flux: MgO, RCat./V ¼ 1:5, Tcal. ¼ 873 ! 1173 K), (b) Photograph of the preform (Exp. A-8, Flux: CaO, RCat./V ¼ 1:5, Tcal. ¼ 873 ! 1173 K), (c) X-ray diffraction pattern of the sample (Exp. A-6), (d) X-ray diffraction pattern of the sample (Exp. A-8). after reduction as well as of other samples is listed in Table 2. The XRF analysis revealed the purity of the obtained vanadium powder to be 99.7 mass% V, 0.2 mass% Mg, and 0.03 mass% Cr (Exp. A-6-1). In contrast, the preform with CaO flux (Exp. A-8-1) was not completely reduced to V metal. The XRD analysis revealed that the black powder obtained after leaching process consisted of V metal and CaV2 O4 . This is probably because the calcium complex Production of Metallic Vanadium by Preform Reduction Process (a) After reduction (a) After reduction (b) After leaching (b) After leaching (c) After reduction (c) After reduction 30 40 Intensity, I (a.u.) JCPDS # 77-2364 50 60 70 Angle, 2 θ (degree) 80 30 JCPDS # 77-2010 CaV2O4 JCPDS # 74-1359 40 50 60 Angle, 2 θ (degree) 70 80 (d) After leaching V 40 CaO JCPDS # 22-1058 Intensity, I (a.u.) MgO : (d) After leaching 30 : : JCPDS # 22-1058 50 60 70 Angle, 2 θ (degree) CaV2O4 JCPDS # 74-1359 Intensity, I (a.u.) Intensity, I (a.u.) V 1107 80 30 40 50 60 Angle, 2 θ (degree) 70 80 Fig. 8 Photograph and XRD pattern of the obtained sample (Exp. A-6-1), (a) and (c): After the reduction process (R: Mg, Flux: MgO, Tred. ¼ 1273 K, t00 red. ¼ 6 h), (b) and (d): After the leaching process (50% CH3 COOH aq. (t00 lea. ¼ 12 h), 20% HCl aq. (t00 lea. ¼ 1 h)). Fig. 9 Photograph and XRD pattern of the obtained sample (Exp. A-8-2), (a) and (c): After the reduction process, (R: Ca, Flux: CaO, Tred. ¼ 1273 K, t00 red. ¼ 6 h), (b) and (d): After the leaching process (50% CH3 COOH aq. (t00 lea. ¼ 12 h), 20% HCl aq. (t00 lea. ¼ 1 h)). oxides (i.e. CaV2 O4 ) formed in the preform are chemically stable and it becomes difficult to reduce by Mg vapor. The details are unclear at this stage. leaching. All of Ca2 V2 O7 was reduced to CaV2 O4 with the Ca vapor after reduction, that is, the oxidation state of V changed from +v to +iii. However, metallic V was not produced in the experimental conditions employed in this study. In the same way, V metal was not produced in Exp. A6-2, in which MgO was used as a flux; rough black powder obtained after leaching was identified as Mg1:5 VO4 (i.e. Mg3 V2 O8 ) by XRD analysis. The XRF analysis revealed the purity of the obtained powder in the Exp. A-8-2 and Exp. A6-2 to be higher than 85 mass% V. It is assumed that a part of 5.3 Calciothermic reduction (Exp. A-6-2 and Exp. A8-2, reductant: Ca) Figure 9 presents the appearance and the representative XRD patterns of the samples obtained after each step in Exp. A-8-2 with CaO flux. When Ca was employed as the reductant, black solid in the form of flake was obtained after 1108 A. Miyauchi and T. H. Okabe the surface of the obtained powder was reduced to metallic V. At this stage, the reason for the unsuccessful results of calciothermic reduction is not clear. The difference between the results obtained using the Mg and Ca reductants are probably due to the difference in their vapor pressures. The vapor pressure of Mg (0.458 atm) is 26 times larger than that of Ca (0.018 atm) at 1273 K. In fact, the amount of Ca reductant remained in the crucible after the reduction was larger than that of Mg. From a thermodynamic view-point (see Fig. 1), Ca is a more favorable and strong reductant compared to Mg. Therefore, certain kinetic reasons may have hindered the calciothermic reduction of vanadium oxides under PRP employed in this study, e.g., the slow diffusion of Ca in the CaO byproduct formed at the surface of the reduction product, and/or formation of compounds acting as a kinetic barrier. 6. Conclusion In order to develop a new reduction process for producing fine vanadium powder using the metallothermic reduction, the preform reduction process (PRP) has been applied. Slurries obtained by mixing V2 O5 powder, a flux (e.g. MgO, CaO) and a binder (e.g. collodion), were cast into molds and then dried to obtain the preforms. Before the reduction process, fabricated preforms with RCat./V ¼ 1:5 were calcined by heating from 873 to 1173 K in 2 h in order to produce the preforms with good mechanical strength at elevated temperatures. The sintered solid preforms containing to complex oxides (Mgx Vy Oz , Cax Vy Oz ) were then reacted with Ca or Mg vapor at a constant temperature of 1273 K for 6 h. When Mg vapor was used as a reductant, pure vanadium powder of more than 99 mass% purity was obtained after leaching process. The PRP was thus demonstrated to be suitable for producing a fine, homogeneous metallic vanadium powder. Acknowledgements The authors are grateful to Profs. M. Maeda, S. Yamaguchi, Y. Mitsuda, and K. Morita of The University of Tokyo for their generous support and valuable discussions, and Messrs. K. Tomoda and Y. Watanabe of the Nippon Catalyst Cycle Co. Ltd. for providing valuable technical information. We would specially like to thank Dr. K. Yasuda and Mr. K. 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