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オゾン?触媒複合系におけるVOC 分解に有効な活性酸素種の検討

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ࠝ࠱ࡦ㧙⸅ᇦⶄว♽ߦ߅ߌࠆ

VOC ಽ⸃ߦ᦭ലߥᵴᕈ㉄⚛⒳ߩᬌ⸛

㥲⮮࿻Ꮢ

*

,

**, የᒻ ᢕ*

,1

, ㊄⾫ ᄐ*, ੑ㩊᧛ ᫪*, ᦭⼱ඳᢥ**, ᳗㐳ਭኡ***

㧔2007 ᐕ 10 ᦬ 9 ᣣฃઃ㧧2007 ᐕ 12 ᦬ 24 ᣣฃℂ㧕

Reactivity of Oxygen Species on an Ozonolysis Catalyst

for VOC Decomposition with Ozone

Keiichi SAITO*

,

**, Atsushi OGATA*

,1

, Hyun-Ha KIM*, Shigeru FUTAMURA*,

Hirofumi ARITANI** and Hisahiro EINAGA***

(Received October 9, 2007; Accepted December 24, 2007)

In the catalyzed decomposition of VOCs, it was known that reactivity was enhanced by the combination with ozone at

low temperature. We carried out the decomposition of toluene and dichloromethane on a Ba-CuO-Cr

2

O

3

/Al

2

O

3

catalyst by ozone in a range of 100 to 400͠. In order to clarify the role of ozone and other oxygen species, we

investigated three types of oxidation methods, i.e., by gas phase ozone alone (R1), the catalyst alone (R2), and the

catalyst with ozone (R3). The performance in the gas phase ozone was equal to or higher than that on the catalyst

alone. However, it was shown that the performance on the catalyst was enhanced with ozone in a range of 100 to

200͠. In other words, the active oxygen species on the catalyst derived from ozone, O

ads

, were effective for VOCs

decomposition even at low temperature. The utilization factor of ozone for VOCs, which is defined as a ratio of

removed VOC and consumed ozone, was investigated in R3. The lower the reaction temperature, the higher the

utilization factor was. It seems that O

ads

was consumed for not only the removal of VOC but also the recombination

into oxygen at high temperature.

1. ߪߓ߼ߦ ើ⊒ᕈ᦭ᯏൻว‛㧔VOC㧕ߪ㧘శൻቇࠝࠠࠪ࠳ࡦ࠻߿ᶋㆆ ☸ሶ‛⾰ߩේ࿃ߩ৻ߟߣ⠨߃ࠄࠇߡ߅ࠅ㧘ᣣᧄ࿖ౝߢߪᐔᚑ 18 ᐕ߆ࠄⷙ೙෸߮⥄ਥ⊛ขࠅ⚵ߺߦࠃࠆឃ಴ᛥ೙ኻ╷߇ផ ㅴߐࠇࠆߎߣߣߥߞߚ㧔ࡌࠬ࠻ࡒ࠶ࠢࠬ㧕1)㧚VOC ኻ╷ߣߒ ߡߔߢߦ㧘Ά὾ᴺ㧘ๆ⌕ᴺ㧘↢‛ಣℂᴺ╬ߩᛛⴚ߇㐿⊒ߐࠇ㧘 ታ㓙㧘ᄙߊߩዉ౉ታ❣߇޽ࠆ㧚ߎߩ߁ߜ㧘⋥ធ㧔⫾ᾲ㧕Ά὾ ᴺ߿⸅ᇦ㉄ൻᴺߪ㧘ⷙ೙ኻ⽎ߣߥߞߡ޿ࠆ㜞Ớᐲ VOC ኻ╷ ᛛⴚߣߒߡ㧘ᣢߦᄢⷙᮨ⊒↢Ḯߦዉ౉߇ㅴࠎߢ޿ࠆ㧚ߒ߆ߒ㧘 ਛዊ੐ᬺᚲߢߪ㧘⸳⟎႐ᚲ߿⸳⟎ᓟߩࠦࠬ࠻㕙ߢㆡᒰߥᛛⴚ ߇ߥ޿ߎߣ߆ࠄ㧘ኻ╷߇ㆃࠇߡ޿ࠆ㧚ߎࠇࠄࠍ⢛᥊ߦ㧘ਛዊ ੐ᬺᚲࠍኻ⽎ߣߒߚశ⸅ᇦ㧘ૐ᷷ࡊ࡜࠭ࡑ㧘ࠝ࠱ࡦߥߤࠍ೑ ↪ߒߚᣂߚߥଦㅴ㉄ൻᛛⴚ߇ᬌ⸛ߐࠇߡ޿ࠆ2)㧚 ૐ᷷ࡊ࡜࠭ࡑᴺߪ㧘ૐỚᐲߩើ⊒ᕈ᦭ᯏ‛⾰ߦኻߒߡ㧘ᓥ ᧪ဳߩಽ⸃ᴺࠃࠅ߽ࠦࠬ࠻ࠍૐߊᛥ߃ࠄࠇ㧘ᄙߊߩൻቇ‛⾰ ࠍಽ⸃ߢ߈ࠆᣇᴺߣߒߡ⍮ࠄࠇߡ޿ࠆ㧚․ߦ㧘ಽ⸃⢻ജࠍ㜞 ߼ࠆߚ߼ߦ⸅ᇦߣߩⶄวൻ߇ㅴ߼ࠄࠇ㧘⋧ਸ਼ലᨐߦߟ޿ߡ߽ ᄙߊߩႎ๔߇ߥߐࠇߡ޿ࠆ3)㧚 ⋧ਸ਼ലᨐߪ㧘ࡊ࡜࠭ࡑߦࠃࠆ⊒శ㧘ࠝ࠱ࡦ↢ᚑ㧘⸅ᇦߩᵴ ᕈൻߥߤߦ⿠࿃ߔࠆߣ⠨߃ࠄࠇߡ޿ࠆ4)㧚ߘߩਛߢ߽㧘ࠝ࠱ ࡦ⸅ᇦಽ⸃ᴺߢ⍮ࠄࠇࠆࠃ߁ߦ 5)㧘౒ሽߐߖࠆ⸅ᇦߦㆡᒰߥ ࠝ࠱ࡦಽ⸃⢻߇޽ࠅ㧘߆ߟࡊ࡜࠭ࡑ෻ᔕེౝߢలಽߥࠝ࠱ࡦ 䉨䊷䊪䊷䊄䋺䉥䉹䊮䋬⸅ᇦ䋬ᵴᕈ㉄⚛⒳䋬ើ⊒ᕈ᦭ᯏൻว‛䋬 VOC * ↥ᬺᛛⴚ✚ว⎇ⓥᚲⅣႺ▤ℂᛛⴚ⎇ⓥㇱ㐷䋨305-8569 ⨙ၔ⋵䈧䈒䈳Ꮢዊ㊁Ꮉ16-1䋩

National Institute of Advanced Industrial Science and Technology (AIST), 16-1 Onogawa, Tsukuba, Ibaraki

305-8569, Japan

** ၯ₹ᎿᬺᄢቇᎿቇㇱ䋨369-0293 ၯ₹⋵ᷓ⼱Ꮢ᥉ᷣኹ 1690䋩

Saitama Institute of Technology, 1690 Fusaiji, Fukaya, Saitama 369-0293, Japan

*** ਻Ꮊᄢቇᄢቇ㒮✚วℂᎿቇ⎇ⓥ㒮䋨816-8580 ⑔ጟ⋵ᤐ ᣣᏒᤐᣣ౏࿦6-1䋩

Kyushu University, 6-1 Kasugakoen, Kasuga, Fukuoka 816-8580, Japan

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߇ᓧࠄࠇࠆ႐ว㧘ࠝ࠱ࡦ߇VOC ಽ⸃ߦᨐߚߔᓎഀߪᭂ߼ߡ ㊀ⷐߣߥࠆ㧚ታ㓙ߦ㧘Gervasini ࠄߪ㧘ࠕࠢ࡝ࡠ࠾࠻࡝࡞㧘ࡔ ࠲ࡁ࡯࡞㧘ࠬ࠴࡟ࡦ㧘࠻࡞ࠛࡦ㧘1,2-ࠫࠢࡠࡠࠛ࠲ࡦ㧘Ⴎൻ ࡆ࠾࡞6,7)ࠍኻ⽎ߦࡊ࡜࠭ࡑಽ⸃ࠍ⹜ߺߡ߅ࠅ㧘ࡊ࡜࠭ࡑ෻ᔕ ེߣߘߩᓟᲑߦBa-CuO-Cr2O3/Al2O3⸅ᇦࠍ㈩ߔࠆߎߣߦࠃߞ ߡ㧔ੑᲑᑼ㧕㧘ߐࠄߦ㜞޿VOC ಽ⸃ല₸߇ᓧࠄࠇࠆߎߣࠍႎ ๔ߒߡ޿ࠆ㧚ᓐࠄߪ೨Ბߩࡊ࡜࠭ࡑಽ⸃ߦട߃ߡ㧘ᓟᲑߢߪ ࠝ࠱ࡦߦࠃࠅᧂಽ⸃VOC ߥࠄ߮ߦಽ⸃೽↢ᚑ‛ߩ㉄ൻ෻ᔕ ߇ߐࠄߦടㅦߔࠆߣ⠨߃ߡ޿ࠆ㧚ߒ߆ߒ㧘෻ᔕਛߩࠝ࠱ࡦỚ ᐲᄌൻߦߟ޿ߡߪᬌ⸛ߐࠇߡ߅ࠄߕ㧘VOC ಽ⸃ߦኻߔࠆታ㓙 ߩࠝ࠱ࡦߩ⽸₂ᐲ㧘ߔߥࠊߜ᳇⋧߿࿕૕⴫㕙ߢߩࠝ࠱ࡦߩ᦭ ല೑↪₸ߥߤߪࠊ߆ߞߡ޿ߥ޿㧚 ੹࿁㧘ᚒޘߪVOC ಽ⸃ߦ߅ߌࠆࠝ࠱ࡦߩലᨐ㧘․ߦࠝ࠱ ࡦߩỚᐲᄌൻߦ⌕⋡ߒ㧘ᄙߊߩ VOC ಽ⸃ߦ᦭ലߢ޽ࠆߎߣ ߇⍮ࠄࠇߡ޿ࠆBa-CuO-Cr2O3/Al2O3⸅ᇦࠍ↪޿ߡ㧘࠻࡞ࠛࡦ ߣࠫࠢࡠࡠࡔ࠲ࡦߩಽ⸃෻ᔕࠍⴕߞߚ㧚หᤨߦ㧘ࠝ࠱ࡦ㧙⸅ ᇦⶄว♽ߢ෻ᔕߦ㑐ਈߔࠆߣ⠨߃ࠄࠇࠆ᳇⋧ਛߩᵴᕈ㉄⚛⒳ ߣ࿕૕⴫㕙਄ߩᵴᕈ㉄⚛⒳ࠍಽ㘃ߒ㧘100㨪400͠ߩฦ᷷ᐲ㗔 ၞߦ߅ߌࠆ㧔1㧕᳇⋧ࠝ࠱ࡦ㧘㧔2㧕ᾲ⊛ߦᵴᕈൻߒߚ࿕૕⸅ᇦ ⴫㕙㧘ਗ߮ߦ㧔3㧕ࠝ࠱ࡦ߆ࠄ↢ߓߚ࿕૕⴫㕙਄ߩ㉄⚛ᵴᕈ⒳ ߇㧘VOC ಽ⸃ߦᨐߚߔᓎഀߦߟ޿ߡᬌ⸛ࠍⴕߞߚ㧚 2. ታ㛎 ᳇⋧ࠝ࠱ࡦߦࠃࠆᾲಽ⸃ᴺ㧔R1㧕㧘ᓥ᧪ဳ㧔ᾲ㧕⸅ᇦಽ⸃ ᴺ㧔R2㧕㧘ࠝ࠱ࡦ⸅ᇦಽ⸃ᴺ㧔R3㧕ߩᵹ〝࿑ࠍ Fig.1 ߦ␜ߔ㧚 R1 ߢߪ㧘VOC ߣ N2ࠍᷙวߐߖߚࠟࠬߦ㧘ࡊ࡜࠭ࡑ෻ᔕེ ౝߢ⊒↢ߐߖߚࠝ࠱ࡦ㧔O3㧕ࠍ100͠ߩࠝ࡯ࡉࡦౝߢᷙวߐ ߖ㧘ߐࠄߦ᷷ᐲࠦࡦ࠻ࡠ࡯࡞ߐࠇߚⓨ╴ߩ⍹⧷⵾෻ᔕེߦዉ ౉ߒߚ㧔200 ppm-VOC, 1600 ppm-O3, 20 %-O2, N2ࡃ࡜ࡦࠬ㧕㧚

R2 ߢߪ㧘VOC ߣ N2ߩᷙวࠟࠬߦ㧘㉄⚛ࠍ100͠ߩࠝ࡯ࡉࡦ ౝߢᷙวߐߖ㧘⸅ᇦ෻ᔕེߦዉ౉ߒߚ㧔200 ppm-VOC, 20 %O2, N2ࡃ࡜ࡦࠬ㧕㧚R3 ߢߪ㧘VOC ߣ N2ࠍᷙวߐߖߚࠟࠬߦ㧘㉄ ⚛ࠍࡊ࡜࠭ࡑ෻ᔕེౝߢ⊒↢ߐߖߚࠝ࠱ࡦࠍ 100͠ߩࠝ࡯ࡉ ࡦౝߢᷙวߐߖ㧘⸅ᇦ෻ᔕེߦዉ౉ߒߚ㧚 ࠟࠬಽᨆߪ㧘2.4m 㐳శ〝࠮࡞㧔Infrared Analysis ␠⵾㧕ࠍ஻ ߃ߚFT-IR (BioRad ␠⵾㧦FTS-135)ࠍ↪޿㧘ࠝࡦ࡜ࠗࡦߢቯ ᕈ࡮ቯ㊂ࠍⴕߞߚ㧚⿒ᄖࠬࡍࠢ࠻࡞ߪ㧘ಽ⸃⢻0.5 cm-1㧘Ⓧ▚ ࿁ᢙ64 ࿁ߢ᷹ቯߒߚ㧚࠻࡞ࠛࡦ㧘ࠫࠢࡠࡠࡔ࠲ࡦࠍ᳇⋧ࠝ࠱ ࡦߦࠃߞߡ෻ᔕ᷷ᐲ 350͠ߢಽ⸃ࠍ⹜ߺߚߣ߈ߦᓧࠄࠇߚ⿒ ᄖࠬࡍࠢ࠻࡞ࠍFig.2 ߩ(a)ߣ(b)ߦߘࠇߙࠇ␜ߔ㧚࠻࡞ࠛࡦ㧘 ࠫࠢࡠࡠࡔ࠲ࡦ㧘CO㧘CO2㧘ࠡ㉄㧔HCOOH㧕㧘ࡎࠬࠥࡦ㧔COCl2㧕 ߩቯ㊂ಽᨆߦߪ㧘ਥߦ729 cm-11268 cm-12103 cm-12274 cm-1 ࿑1 VOC ߩ᳇⋧ࠝ࠱ࡦಽ⸃㧔R1㧕㧘⸅ᇦಽ⸃㧔R2㧕㧘 ࠝ࠱ࡦ⸅ᇦಽ⸃㧔R3㧕ᴺߩᵹ〝࿑

Fig.1 Flow chart of VOC decomposition: (R1) ozonolysis, (R2) catalysis, and (R3) ozonolysis assisted by catalyst. R1 Ozone / Oxygen Furnace VOC / N2 Ozone / Oxygen Catalyst Furnace VOC / N2 Oxygen VOC / N2 Catalyst Furnace R3 R2 ࿑2 ෻ᔕ᷷ᐲ350͠ߢߩVOCߩ᳇⋧ࠝ࠱ࡦಽ⸃ᴺߦࠃࠆ ෻ᔕ೨ᓟߩ⿒ᄖࠬࡍࠢ࠻࡞㧦(a)࠻࡞ࠛࡦ㧘(b)ࠫࠢࡠ ࡠࡔ࠲ࡦ

Fig.2 Infrared spectra on the decomposition of (a) toluene and (b) dichloromethane by R1 method. 1000 1500 2000 2500 3000 3500 4000 A bs or ba nc e Wavenumber / cm-1 HCl CO CO2 COCl2 CH2Cl2

(b)

Before After 1000 1500 2000 2500 3000 3500 4000 A bs or ba nc e Wavenumber / cm-1 CO CO2 C6H5CH3 HCOOH H2O H2O

(a)

Before After

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1103 cm-1860 cm-1ߩๆ෼ࡇ࡯ࠢࠍ↪޿ߚ㧚ߥ߅㧘COCl

ᮡḰࠟࠬߦࠃࠆᬌ㊂✢߇ᓧࠄࠇߥ޿ߚ߼㧘࠺࡯࠲ࡌ࡯ࠬ 㧔Infrared Analysis ␠⵾㧦QA-SOFT㧕ࠍ↪޿ߡቯ㊂ࠍⴕߞߚ㧚

ࠝ࠱ࡦߪ⚡ᄖ✢ๆ෼ᑼࠝ࠱ࡦỚᐲ⸘(⨶ේታᬺ␠⵾㧦ࡕ࠺࡞ HARE PG640)ࠍ↪޿ߡቯ㊂ࠍⴕߞߚ㧚ࠨࡦࡊ࡝ࡦࠣߪ⸅ᇦ෻ ᔕེࠍ100͠߆ࠄ 400͠߹ߢછᗧߩ෻ᔕ᷷ᐲߦ⸳ቯߒ㧘30 ಽ ⚻ㆊߒߚߩߜⴕߞߚ㧚ߒߚ߇ߞߡ㧘޿ߕࠇ߽ೋᦼᵴᕈ୯ࠍ␜ ߔ㧚 ࠻࡞ࠛࡦߪ 5͠ߦ଻ᜬߒߚᶧ૕⹜⮎㧔๺శ⚐⮎㧘․⚖㧕ࠍ N2ߢࡃࡉ࡝ࡦࠣߐߖ⊒↢ߐߖߚ㧚ࠫࠢࡠࡠࡔ࠲ࡦߪN2ߣߩ ᷙวࠟࠬ㧔㜞ජⓄൻቇᎿᬺ, CH2Cl2=1,060 ppm㧕ࠍ↪޿ߚ㧚ߎ ࠇࠄࠍߐࠄߦN2ߣO2㧔߅ࠃ߮O3㧕ߢᏗ㉼ߒ㧘ోᵹ㊂߇500 cm3/min ߦߥࠆࠃ߁⺞⵾ߒߚ㧚 ࠝ࠱ࡦߪ㧘ዊ↰ࠄߦࠃߞߡឭ᩺ߐࠇߡ޿ࠆࠦࠗ࡞ဳᴪ㕙᡼ 㔚ဳࡊ࡜࠭ࡑ෻ᔕེߦࠃࠅ⊒↢ߐߖߚ8)㧚෻ᔕེߪ㧘⍹⧷▤ ߩᄖ๟ߦႣᏓߒߚ㌁ࡍ࡯ࠬ࠻ࠍធ࿾ᭂߦ㧘ౝოߦࠦࠗ࡞⁁ߦ ኒ⌕ߐߖߚ⊕㊄ࡢࠗࡗ࡯(0.4 mm)ࠍ᡼㔚ᭂߣߒߚ᭴ㅧߦߥߞ ߡ޿ࠆ㧚⚐㉄⚛㧔㜞ජⓄൻቇ㧕100 mL/min ࠍࡊ࡜࠭ࡑ෻ᔕེ ߦᵹㅢߒ㧘੤ᵹ㜞㔚࿶㧔8.3 kV㧘๟ᵄᢙ 1 kHz㧕ࠍශടߔࠆߎ ߣߦࠃࠅ㧘8,000 ppm ߩࠝ࠱ࡦࠍᓧߚ㧚ᷙวࠟࠬߩ⚵ᚑߪ೨ ಴ߩㅢࠅ㧚 ⸅ᇦߪ㧘ࠛ࠿࡮ࠗ࡯࡮ࠤࡓࠠࡖ࠶࠻␠⵾㧘Cu-1230E(⚵ᚑᲧ: Ba=5.4 %㧘Cu=23.2%㧘Cr=21.9%)ࠍ↪޿㧘੍߼ 150͠ߩࠝ࡯ ࡉࡦߢలಽੇ῎ߐߖߚᓟ㧘෻ᔕߦଏߒߚ㧚ߥ߅㧘ห⸅ᇦߩ⴫ 㕙Ⓧߪ㧘ࡌ࡞࠰࡯ࡊ␠⵾ߩๆ⌕ⵝ⟎㧔BELSORP 18㧕ࠍ↪޿㧘 BET ᴺߦࠃࠅ 125 m2/g ߣ᳞߼ࠄࠇߚ㧚 3. ⚿ᨐߣ⠨ኤ 3.1 ࠻࡞ࠛࡦ%*%*㧦61. ߩಽ⸃ Fig.3 ߦฦ⒳ಽ⸃ᴺ㧔R1㧘R2㧘R3㧕ࠍ↪޿ߚ႐วߩ 100㨪 400͠ߦ߅ߌࠆ C6H5CH3ߩಽ⸃᜼േࠍ␜ߔ㧚100㨪150͠ߢߪ R1 ߣ R2 ߢಽ⸃₸ߦ߶ߣࠎߤᏅ߇⷗ࠄࠇߕ㧘175㨪300͠ߢߪ R1 ߩᣇ߇ R2 ࠃࠅ߽߿߿㜞޿ಽ⸃₸ࠍ␜ߒߚ㧚ߒ߆ߒ㧘R2 ߪ350͠એ਄ߢ R1 ࠍ਄࿁ࠅ㧘߶߷ 100%ߩಽ⸃₸߇ᓧࠄࠇߚ㧚 ৻ᣇ㧘R3 ߢߪ 100͠ߦ߅޿ߡ߽ 50㧑ߩಽ⸃₸ࠍ␜ߒ㧘Ᏹߦ R2㧘R3 ࠃࠅ߽㜞޿ಽ⸃ᕈ⢻ࠍ␜ߔߎߣ߇ࠊ߆ߞߚ㧚 ਥ↢ᚑ‛ߣߘߩㆬᛯ₸ࠍTable 1 ߦ␜ߔ㧚⴫ਛߩㆬᛯ₸ߪ㧘 㨇ฦ↢ᚑ‛㊂㨉/㨇ᬌ಴ߐࠇߚో↢ᚑ‛㊂㨉ߩᲧ₸ߣߒߡ⴫ߔ㧚 R1 ߢߪ CO2߳ߩㆬᛯ₸߇350͠ߢ 50㧑⒟ᐲߥߩߦኻߒ㧘R2 ߢߪ200͠એ਄ߩ᷷ᐲߢ߶߷ 100%ߦ㆐ߒߚ㧚R2 ߢߪ὇⚛ߩ ‛⾰෼ᡰ߇ 100%ࠍ⿥߃ࠆ⚿ᨐ߽ᓧࠄࠇߡ߅ࠅ㧘ߎࠇࠄߪ⸅ ᇦ਄ߦๆ⌕ߒߚC6H5CH3߹ߚߪߘߩਛ㑆૕߇ಽ⸃࡮⣕㔌ߒߚ ߽ߩߦ⿠࿃ߔࠆߣ⠨߃ࠄࠇࠆ㧚R3 ߢߪ㧘100͠ߦ߅޿ߡᣢߦ ⴫1 ฦ⒳ᚻᴺߦࠃࠆ࠻࡞ࠛࡦ෸߮ࠫࠢࡠࡠࡔ࠲ࡦಽ⸃ᓟߩ↢ᚑ‛ಽᏓߣ὇⚛ߩ‛⾰෼ᡰ

Table 1 Selectivity of products and material balance of carbon in three reaction systems

Toluene Dichloromethane Selectivity in products / % Selectivity in products / % Temp. / ͠ CO CO2 HCOOH Material Balance / % CO CO2 COCl2 Material Balance / % 100͠ 0 78 22 15 㧙 㧙 㧙 㧙 200͠ 32 56 12 48 㧙 㧙 㧙 㧙 300͠ 51 45 4 73 100 0 <1 86 R1 350͠ 49 49 2 79 92 4 4 91 100͠ 㧙 㧙 㧙 㧙 㧙 㧙 㧙 㧙 200͠ 0 100 0 13 㧙 㧙 㧙 㧙 300͠ 0 100 0 120 5 95 0 166 R2 400͠ 0 100 0 106 3 96 0 123 100͠ 16 83 1 81 59 38 0 91 200͠ 12 88 0 88 44 56 0 103 300͠ 1 99 0 100 18 83 0 119 R3 400͠ 1 99 0 102 11 89 0 92 ࿑3 ฦ᷷ᐲߦ߅ߌࠆ࠻࡞ࠛࡦߩಽ⸃᜼േ㧦(R1) ᳇⋧ࠝ ࠱ࡦߦࠃࠆᾲಽ⸃ᴺ, (R2) ⸅ᇦಽ⸃ᴺ, (R3) ࠝ࠱ࡦ ⸅ᇦಽ⸃ᴺ.

Fig.3 Conversion of toluene as a function of temperature: (R1) ozonolysis, (R2) catalysis, and (R3) ozonolysis assisted by catalyst. 0 20 40 60 80 100 100 200 300 400 C on ve rs io n of to lu en e/ % Temperature /oC R1 R2 R3

(4)

CO2ㆬᛯ₸ߪ83㧑ߦ㆐ߒߡ߅ࠅ㧘ߐࠄߦ᷷ᐲ਄᣹ߣ౒ߦㆬᛯ ₸ߩะ਄߇ߺࠄࠇߚ㧚 ৻ᣇ㧘R1 ߢ HCOOH ߩ↢ᚑ߇ߺࠄࠇߚ߇㧘R2㧘R3 ߢߪ߶ ߣࠎߤ᷹ⷰߐࠇߥ߆ߞߚ㧚 3.2 ࠫࠢࡠࡠࡔ࠲ࡦ(CH2Cl2㧦DCM)ߩಽ⸃ Fig.4 ߦฦ⒳ಽ⸃ᴺ㧔R1㧘R2㧘R3㧕ࠍ↪޿ߚ႐วߩ 100㨪 400͠ߩ᷷ᐲ㗔ၞߦ߅ߌࠆ CH2Cl2ߩಽ⸃᜼േࠍ␜ߔ㧚R1 ߢߪ 250͠એਅߢ CH2Cl2ߪ߶ߣࠎߤಽ⸃ߒߥ߆ߞߚ㧚ߒ߆ߒ㧘 300͠ࠍ⿥߃ࠆߣ CH2Cl2ߪᕆỗߦಽ⸃ߒᆎ߼㧘350͠ߢಽ⸃₸ ߪ55%ߦ㆐ߒߚ㧚R2 ߢ߽ 200͠એਅߢߪ߶ߣࠎߤಽ⸃ߒߥ߆ ߞߚ߇㧘250͠એ਄ߢߪ᷷ᐲ਄᣹ߣߣ߽ߦಽ⸃₸߇ะ਄ߒ㧘 400͠ߢ 55%ߩಽ⸃₸߇ᓧࠄࠇߚ㧚R3 ߢߪ㧘100͠ߦ߅޿ߡ ߽20%⒟ᐲߩಽ⸃₸߇ᓧࠄࠇ㧘᷷ᐲ਄᣹ߣߣ߽ߦ✭߿߆ߦಽ ⸃₸߇Ⴧᄢߒ㧘300͠ߢߪ 40%ߦ㆐ߒߚ㧚ߐࠄߦߘࠇએ਄ߩ ᷷ᐲߢߪ㧘ᕆỗߦಽ⸃₸߇Ⴧᄢߒ㧘400͠ߦ߅޿ߡಽ⸃₸ߪ 84%ߦ㆐ߒߚ㧚 ਥ↢ᚑ‛ߢ޽ࠆCO ߣ CO2ߩㆬᛯ₸ࠍTable 1 ߦ␜ߔ㧚R1 ߢߪ㧘↢ᚑ‛ߩ߶ߣࠎߤ߇CO ߢ޽ߞߚ㧚ߎࠇߣኻᾖ⊛ߦ㧘 R2 ߢߪ߶ߣࠎߤ߇ CO2ߦಽ⸃࡮㉄ൻߐࠇߚ㧚‛⾰෼ᡰ߽100% ࠍ⿥߃ࠆ୯ࠍ␜ߒߡ޿ࠆߎߣ߆ࠄ㧘CH2Cl2ߩ႐ว߽C6H5CH3 ߣห᭽ߦ⸅ᇦߦๆ⌕ߒߡ޿ߚCH2Cl2㧘޽ࠆ޿ߪߘߩ෻ᔕਛ㑆 ૕߇᷷ᐲߩ਄᣹ߣ౒ߦಽ⸃࡮⣕㔌ߒߡ߈ߚ߽ߩߣ⠨߃ࠄࠇࠆ㧚 R3 ߢߪ㧘100͠ߦ߅޿ߡ CO2ㆬᛯ₸ߪ38%ߢ޽ߞߚ߇㧘᷷ᐲ ߩ਄᣹ߣ౒ߦะ਄ߒߚ㧚 ߥ߅㧘COCl2߇R1 ߢ 300͠ߩߣ߈ߦ᷹ⷰߐࠇߚ߇㧘⸅ᇦࠍ ↪޿ࠆߎߣ㧔R2㧘R3㧕ߢ㧘ߎߩ↢ᚑࠍᛥ೙ߢ߈ࠆߎߣ߇᣿ࠄ ߆ߦߥߞߚ㧚߹ߚ㧘޿ߕࠇߩ♽ߢ߽300͠એ਄ߢ HCl ߇᷹ⷰ ߐࠇߚ㧔 Fig.2(b) 㧕㧚 3.3 ᵴᕈ㉄⚛⒳ߩᬌ⸛ એ਄ߩ෻ᔕ⚿ᨐ㧘ਗ߮ߦએਅߢ␜ߔO3Ớᐲᄌൻߩ⚿ᨐࠍ߽ ߣߦ㧘ฦ෻ᔕ♽ߦ߅ߌࠆVOC ಽ⸃ߦኻߔࠆฦ⒳㉄⚛ᵴᕈ⒳ ߩ෻ᔕᕈߦߟ޿ߡᬌ⸛ࠍⴕߞߚ㧚 3.3.1 ᳇⋧ਛߩᵴᕈ㉄⚛⒳ ߹ߕ㧘R1 ߣ R3 ߦ߅ߌࠆ᳇⋧ O3ߩỚᐲߩᄌൻ߆ࠄ㧘ߎࠇ ࠄߩ෻ᔕ♽ߦ߅ߌࠆᵴᕈ㉄⚛⒳ߩ෻ᔕ․ᕈࠍ⺞ߴߚ㧚Fig.5 ߣ Fig.6 ߦ R1 ߣ R3 ߦ߅ߌࠆ VOC㧔C6H5CH3㧘CH2Cl2㧕ಽ⸃ᤨ㧘 ਗ߮ߦVOC 㕖ሽ࿷ਅߢߩ᳇⋧ਛߩ O3Ớᐲࠍ␜ߔ㧚 Fig.5 ࠃࠅ㧘౒ሽߔࠆ C6H5CH3߿CH2Cl2ߦࠃߞߡ㧘᳇⋧O3 ߩᷫዋ௑ะ߇⇣ߥࠆߎߣ߇ࠊ߆ࠆ㧚ᓟ⠪ߢߪߘߩ௑ะ߇᳇⋧ O3ߩᾲಽ⸃ߣ߶߷৻⥌ߒߡ޿ࠆߩߦኻߒ㧘೨⠪ߢߪߘࠇࠃࠅ ߽ૐ޿᷷ᐲߢO3߇ᶖ⾌ߐࠇߡ޿ࠆߎߣ߇ࠊ߆ࠆ㧚250͠એਅ ߩ᷷ᐲ㗔ၞߦ߅޿ߡ㧘C6H5CH3ߪಽ⸃ߒCH2Cl2ߪ߶ߣࠎߤಽ ⸃ߒߡ޿ߥ޿ߎߣ߆ࠄ㧘᳇⋧VOC ߦኻߔࠆ⋥ធ⊛ߥ O3ߩ෻ ᔕᕈߩ㆑޿߇⏕⹺ߢ߈ߚ㧚C6H5CH3ߪ㧘100͠ߦ߅޿ߡ߽ಽ⸃ ߇⿠ߎߞߡ޿ࠆߎߣ߆ࠄ㧘᳇⋧O3ߣߩ⋥ធ⊛ߥ෻ᔕ߇␜ໂߐ ࠇࠆ㧚ߎࠇߦኻߒߡ㧘CH2Cl2ߩ႐ว㧘᳇⋧ਛߩO3ಽ⸃㧔O3ĺ O2+ O㨯gas㧕߇ᕆỗߦଦㅴߐࠇࠆ250͠એ਄ߩ᷷ᐲၞߢ෻ᔕ߇ ᆎ߹ߞߡ߅ࠅ㧘O࡮gasߣߩ෻ᔕ߇ਥ෻ᔕߣ⠨߃ࠄࠇࠆ㧚੐ታ㧘 O࡮gasߣCH2Cl2ߣߩ෻ᔕㅦᐲቯᢙߪ㧘ߎߩ᷷ᐲએ਄ߢᄢ߈ߊ ߥࠆߎߣ߇⍮ࠄࠇߡ޿ࠆ9)㧚એ਄ߩߎߣ߆ࠄ㧘C6H5CH3ߩ႐ ว㧘200͠એਅߩਥߥᵴᕈ㉄⚛⒳ߪ᳇⋧ O3ߘߩ߽ߩߣ⠨߃ࠆ ࿑4 ฦ᷷ᐲߦ߅ߌࠆ DCM ߩಽ⸃᜼േ㧦(R1) ᳇⋧ࠝ࠱ࡦ ߦࠃࠆᾲಽ⸃ᴺ, (R2) ⸅ᇦಽ⸃ᴺ, (R3) ࠝ࠱ࡦ⸅ᇦಽ ⸃ᴺ.

Fig.4 Conversion of DCM as a function of temperature: (R1) ozonolysis, (R2) catalysis, and (R3) ozonolysis assisted by catalyst. 0 20 40 60 80 100 100 200 300 400 C on ve rs io n of D C M /% Temperature / oC R1 R2 R3 ࿑5 VOC㧙᳇⋧ࠝ࠱ࡦಽ⸃ᴺߦ߅ߌࠆ෻ᔕ᷷ᐲߣ᳇⋧ࠝ ࠱ࡦỚᐲߩ㑐ଥ㧦(R1-TOL)࠻࡞ࠛࡦ㧘(R1-DCM) ࠫࠢ ࡠࡠࡔ࠲ࡦ㧘㧔R1-O3㧕VOC ߥߒ

Fig.5 Ozone concentration in the downstream as a function of temperature on pyrolysis of ozone (R1-O3), and on ozonolysis of (R1-TOL) toluene and (R1-DCM) dichloromethane. (R1-O3) 0 400 800 1200 1600 100 200 300 400 O ut le to zo ne co nc en tra tio n /p pm Temperature /oC

R1-O3, ozone alone R1-DCM

(5)

ߎߣ߇ߢ߈㧘250͠એ਄ߦߥࠆߣ O3ߩᾲಽ⸃߆ࠄ↢ߓߚේሶ ⁁㉄⚛㧔O㨯gas㧕߇C6H5CH3ߩߺߥࠄߕCH2Cl2ߩಽ⸃ࠍଦㅴ ߔࠆߣ⠨߃ࠄࠇߚ㧚 3.3.2 ࿕૕⴫㕙਄ߩᵴᕈ㉄⚛⒳ ޿ߕࠇߩ᷷ᐲၞߢ߽R3 ߪ R1 ߿ R2 ࠃࠅ߽㜞޿ಽ⸃ᵴᕈࠍ ␜ߒߚ㧚㜞᷷ၞ㧔250͠એ਄㧕ߢߪ O3ߩᾲಽ⸃߇ଦㅴߐࠇࠆ ߚ߼㧘R3 ߦ߅޿ߡ߽೨▵ห᭽ߩ᳇⋧ਛߩᵴᕈ㉄⚛⒳߇෻ᔕߦ ነਈߒߡ޿ࠆน⢻ᕈ߇޽ࠆ㧚ߘߎߢ㧘ߘߩᓇ㗀߇ዋߥߊ⸅ᇦ ߩലᨐ߇ࠊ߆ࠅ߿ߔ޿100㨪250͠ߩૐ᷷ၞߦߟ޿ߡ㧘ߪߓ߼ ߦᬌ⸛ࠍⴕߞߚ㧚 ࠝ࠱ࡦ⸅ᇦಽ⸃ᴺߩ෻ᔕᯏ᭴ߣߒߡ৻⥸⊛ߥޟ࿕૕⸅ᇦ਄ ߩO3߆ࠄ↢ߓߚ*Oads߇VOC ࠍಽ⸃ߔࠆޠ෻ᔕᯏ᭴ߦၮߠ޿ ߡ⠨ኤࠍⴕߞߚ5)㧚Fig.6 ߆ࠄ߽᣿ࠄ߆ߥࠃ߁ߦ㧘O3ಽ⸃߇ૐ ᷷ၞ߆ࠄᆎ߹ߞߡ߅ࠅ㧘*Oadsߩ↢ᚑ߇ᦼᓙߐࠇࠆ㧚 O3 + * ĺ O2+ *Oads (1)

*Oads + VOC ĺ COx + H2O + * (2)

*㧦⸅ᇦᵴᕈὐ㧘*Oads㧦⸅ᇦ਄ߦ↢ߓߚᵴᕈ㉄⚛ Fig.7 ߦ᳇⋧ O3߇౒ሽߔࠆ♽ߦ߅ߌࠆ㧘⸅ᇦߩ᦭࡮ήߩ㆑ ޿㧘VOCߩ㆑޿ߦࠃࠆO3ᶖ⾌㊂ߣVOCಽ⸃㊂ߩ㑐ଥࠍ␜ߔ㧚 Ყセߩߚ߼㧘᳇⋧O3ߦࠃࠆC6H5CH3ߩಽ⸃ߩ⚿ᨐ߽ࡊࡠ࠶ ࠻ߒߚ㧚C6H5CH3ߩಽ⸃㊂ߪᶖ⾌ߐࠇࠆO3㊂ߣ⦟޿⋧㑐߇޽ ࠆߎߣ߇ࠊ߆ࠆ㧚ߚߛߒ㧘೨▵ߢㅀߴߚࠃ߁ߦ᳇⋧O3ߦࠃࠆ CH2Cl2ߩಽ⸃ߪ⿠ߎࠄߥ޿㧚৻ᣇ㧘R3 ߽ VOC ߩ⒳㘃ߦଐࠄ ߕ⦟޿⋧㑐߇⷗ࠄࠇࠆߎߣ߇ࠊ߆ࠆ㧚ߚߛߒ㧘ߘߩ௑߈㧔O3 ᶖ⾌㊂ߦኻߔࠆVOC ಽ⸃㊂ߩ㑐ଥ㧕ߪ R1 ߣߪ᣿ࠄ߆ߦ⇣ߥ ߞߡ߅ࠅ㧘 R3 ߦ߅޿ߡ O3߆ࠄᓧࠄࠇߚ⸅ᇦ਄ߩ*Oadsߩ௛ ߈ࠍ․ᓽߠߌࠆ߽ߩߦߥߞߡ޿ࠆ㧚ߚߛߒ㧘ᰴ▵ߢ⠨ኤߔࠆ ߇㧘ᶖ⾌ߐࠇߚᄙߊߩO3ߪᔅߕߒ߽VOC ಽ⸃ߦ↪޿ࠄࠇߡ ޿ߥ޿ߎߣ߽᣿ࠄ߆ߦߥߞߚ㧚 R2 ߩᾲ⸅ᇦ♽ߢߪ㧘ᩰሶ㉄⚛޽ࠆ޿ߪ᳇⋧ O2↱᧪ߩᵴᕈ ㉄⚛⒳߇⸅ᇦ਄ߢ㉄ൻ෻ᔕࠍଦㅴߔࠆߣ⠨߃ࠄࠇࠆ㧚ߒ߆ߒ㧘 Fig.3 ߣ Fig.4 ࠃࠅ㧘߶ߣࠎߤߩ᷷ᐲ㗔ၞߢ㧘R2 ߪ R1 ࠃࠅಽ ⸃ᵴᕈ߇ૐ޿㧚ᧄታ㛎᧦ઙߢߪVOC ߩಽ⸃ߦ᦭ലߥᵴᕈ㉄ ⚛⒳߇⸅ᇦߛߌߢߪలಽᓧࠄࠇߥ޿߆㧘ߘߩ෻ᔕᕈ߇ O3߿ O࡮gasࠃࠅ߽ૐ޿ߎߣࠍ␜ߒߡ޿ࠆ㧚 ᰴߦ㧘R3 ߩ 250͠એ਄ߦ߅ߌࠆ෻ᔕᵴᕈߩะ਄ലᨐߦߟ޿ ߡᬌ⸛ࠍⴕߞߚ㧚C6H5CH3㧘CH2Cl2ߣ߽㧘ૐ᷷ၞߩಽ⸃ᵴᕈ ߦട߃㧘R1 ߣ R2 ߩᓇ㗀ࠍᒝߊฃߌߡ޿ࠆࠃ߁ߦ⷗߃ࠆ㧚Fig.3 ߣFig.4ߩ෻ᔕ᷷ᐲߦኻߔࠆಽ⸃ᵴᕈߪ250͠೨ᓟࠍႺߦ⊒⃻ ߒߡ߅ࠅ㧘⋧ਸ਼ലᨐ߇ߤߜࠄߩᓇ㗀ߦࠃࠆ߽ߩ߆ߪන⚐ߦ್ ᢿߢ߈ߥ޿㧚ߒ߆ߒ㧘R1 ߪ CO ㆬᛯ₸߇㜞ߊ㧘R2 ߪ CO2ㆬ ᛯ₸߇㜞޿ߣ޿߁↢ᚑ‛ಽᏓߦ․ᓽ⊛ߥ㆑޿߇޽ࠆ㧚R3 ߩ↢ ᚑ‛ਛߩㆬᛯ₸߆ࠄ್ᢿߔࠆߣ㧘R2 ߩ㑐ਈ߇ᒝߊ␜ໂߐࠇߚ㧚 ޿ߕࠇߦߖࠃR3 ߩ300͠એ਄ߩ෻ᔕߦߪCO ㉄ൻ෻ᔕ߽฽߼㧘 ᩰሶ㉄⚛޽ࠆ޿ߪ᳇⋧ O2↱᧪ߩᵴᕈ㉄⚛⒳ߩ㑐ਈ߇޽ࠆߎ ߣߪ⏕߆ߢ޽ࠆ㧚 3.4 R3 ߩࠝ࠱ࡦ೑↪ല₸ะ਄ߩߚ߼ߩᜰ㊎ R3 ߪ VOC ಽ⸃ߦ᦭ലߢ޽ࠆߎߣ߇␜ߐࠇߚ߇㧘O3ߩ೑↪ ല₸߇ૐ޿ߚ߼㧘ߐࠄߦᕈ⢻ࠍ㜞߼ࠄࠇࠆน⢻ᕈ߇޽ࠆ㧚ߎ ࠇࠄ߇ૐ޿ℂ↱ߣߒߡߪ㧘⸅ᇦߦࠃࠆO3߆ࠄO2߳ߩ෻ᔕ㧘 0 400 800 1200 1600 100 200 300 400 O ut le t o zo ne c on ce nt ra tio n / p pm Temperature / oC ozone alone R3-DCM R3-TOL R3-O3 ࿑ 6 VOC㧙ࠝ࠱ࡦ⸅ᇦಽ⸃ᴺߦ߅ߌࠆ෻ᔕ᷷ᐲߣ᳇ ⋧ ࠝ ࠱ ࡦ Ớ ᐲ ߩ 㑐 ଥ 㧦(R3-TOL) ࠻ ࡞ ࠛ ࡦ , (R3-DCM) ࠫࠢࡠࡠࡔ࠲ࡦ, (R3-O3) VOC ߥߒ. Fig. 6 Ozone concentration in the downstream as a function

of temperature on ozonolysis assisted by catalyst of (R3-TOL) toluene and (R3-DCM) dichloromethane, and on (R3-O3) the decomposition of ozone by the catalyst.

࿑7 R1 ߣ R3 ߦ߅ߌࠆࠝ࠱ࡦᶖ⾌㊂ߣ VOC ಽ⸃㊂ߩ㑐ଥ 㧔100㨪250͠㧕

Fig.7 Relationship between decomposed VOC and consumed ozone on R1 and R3 (100 to 250oC). 0 50 100 150 200 0 400 800 1200 1600 D ec om po se d VO C / p pm Consumed O3 / ppm R1-TOL R1-DCM R3-DCM R3-TOL

(6)

- 6 - ߔߥࠊߜVOC ಽ⸃ߦነਈߒߥ޿*Oads㧔O3ๆ⌕ࠨࠗ࠻㧕߇ሽ

࿷ߔࠆߎߣࠍᜰ៰ߢ߈ࠆ㧚 2*Oads ĺ O2 + 2* (3) ታ㓙ߦ㧘Fig.6 ߩ 100͠ߩ࠺࡯࠲߆ࠄ߽ VOC ߇ሽ࿷ߔࠆᣇ ߇㧘O3ߩಽ⸃߇ᛥ೙ߐࠇߡ޿ࠆߎߣ߇ࠊ߆ߞߡ߅ࠅ㧘ߎࠇࠄ ߪVOC ߩๆ⌕ࠨࠗ࠻ߣ O3ߩๆ⌕ࠨࠗ࠻߇┹วߔࠆߚ߼㧘O3 ߩಽ⸃߇ᛥ߃ࠄࠇࠆߎߣࠍ␜ໂߒߡ޿ࠆ㧚 Fig.7 ߦ߅޿ߡ㧘O3ᶖ⾌㊂ߩዊߐ޿ታ㛎⚿ᨐߪૐ᷷஥ߢᓧ ࠄࠇߚ߽ߩࠍ෻ᤋߒߡ޿ࠆߎߣ߆ࠄ㧘෻ᔕ᷷ᐲ߇ૐ᷷ߦߥࠆ ߶ߤ O3೑↪ല₸߇㜞޿ߎߣ߇᣿ࠄ߆ߦߥߞߚ㧚ߚߛߒ㧘 Table.1 ߢ߽᣿ࠄ߆ߥࠃ߁ߦ㧘᷷ᐲ߇ૐߊߥࠆߣ෻ᔕ೨ᓟߩ὇ ⚛ߩ‛⾰෼ᡰ߿CO2ㆬᛯ₸߇ૐਅߔࠆน⢻ᕈ߇޽ࠆߚ߼㧘R3 ߢߪVOC ߩ⒳㘃ߏߣߦ᷷ᐲ⸳ቯߩᦨㆡൻ߇ᔅⷐߦߥࠆߣ⠨ ߃ࠄࠇࠆ㧚 4. ߹ߣ߼ ᳇⋧ࠝ࠱ࡦߪ 100㨪400͠ߩ᷷ᐲၞߢ Ba-CuO-Cr2O3/Al2O3 ⸅ᇦߣห╬߆ߘࠇએ਄ߩಽ⸃⢻ജࠍ␜ߒߚ㧚৻ᣇ㧘᳇⋧ࠝ࠱ ࡦߣ⸅ᇦࠍ⚵ߺวࠊߖߚⶄว♽ߢߪ㧘ߘࠇࠄࠃࠅ߽ߐࠄߦ㜞 ޿VOC ಽ⸃ᵴᕈࠍ␜ߒߚ㧚߹ߚ㧘⸅ᇦ਄ߢᓧࠄࠇߚᵴᕈ㉄ ⚛⒳(*Oads)ߪ㧘᳇⋧ࠝ࠱ࡦ߿ࠝ࠱ࡦ߆ࠄߩᾲಽ⸃ߦࠃࠅ↢ߓ

ߚේሶ⁁㉄⚛㧔O㨯gas㧕ࠃࠅ߽㧘ࠃࠅૐ޿᷷ᐲߢVOC ಽ⸃෻

ᔕߦ᦭ലߢ޽ࠆߎߣ߇᣿ࠄ߆ߦߥߞߚ㧚ߐࠄߦ㧘ห⸅ᇦࠍ↪ ޿ߡࠝ࠱ࡦ೑↪ല₸ࠍ਄ߍࠆߚ߼ߦߪ㧘෻ᔕ᷷ᐲࠍૐߊߔࠆ ߎߣ߇᦭ലߢ޽ࠆߎߣࠍᜰ៰ߒߚ㧚 ෳ⠨ᢥ₂ 1) ⅣႺ⊕ᦠ ᐔᚑ 18 ᐕᐲ  ⅣႺ⋭ 2) ㊄⾫ᄐ, ᳗㐳ਭኡ, የᒻᢕ: ⅣႺ▤ℂ, 40 (2004) 1109 3) C. M. Nunez, G. H. Ramsey, W.H. Ponder, J. H. Abbott, L.E.

Hamel and P.H. Kariher: Air Waste, 43 (1993) 242 4) የᒻᢕ: ࠛࠕࡠ࠱࡞⎇ⓥ, 21 (2006) 215 5) ᳗㐳ਭኡ: ࠢ࡝࡯ࡦ࠹ࠢࡁࡠࠫ࡯㧘16 (2006) 6

6) A. Gervasini, G. C. Vezzoli and V. Ragaini: Catal. Today, 29 (1996) 449

7) A. Gervasini and V. Ragaini: Catal. Today, 60 (2000) 129 8) T. Oda, T. Takahashi, K. Tada: IEEE Trans. Ind. Appl., 35(1999)

373

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