본 연구는 광분해 산화공정으로 난분해성 물질인 N-Nitrosodimethylamine (NDMA)인 제거 및 부산물 생성 특성을 파악하기 위한 3개의 독립변수 (자외선 강도($X_1:;1.5{sim}4.5;mW/cm^2$, 초기 NDMA 농도($X_2:;100{sim}300;uM$), pH(X3:3~9))와 4개의 종속변수(NDMA 제거율($Y_1$), dimethylamine (DMA) 생성농도($Y_2$), dimethylformamide (DMF) 생성농도($Y_3$) 및 $NO_2$-N 생성농도($Y_4$))로 구성된 박스-벤켄 설계를 이용한 실험계획을 적용시켜 예측 모델과 광분해 산화 최적조건을 수립하였다. 실험결과 2시간 광분해 후 NDMA는 거의 완전히 제거되었으며 DMA, DMF와 $NO_2$-N은 NDMA 광분해와 동시에 부산물로 생성되었다. 광분해 최적의 조건을 얻기 위해 정준분석을 수행하여 최적 점 (반응값, 독립변수 조건)과 예측반응모델을 수립한 결과, 다음과 같은 결과를 얻었다 ($Y_1=117+21X_1-0.3X_2-17.2X_3+{2.43X_1}^2+{0.001X_2}^2+{3.2X_3}^2-0.08X_1X_2-1.6X_1X_3-0.05X_2X_3$ ($R^2$ = 96%, Adjusted $R^2$ = 88%)와 99.3% ($X_1:;4.5;mW/cm^2$, $X_2:;190;uM$, $X_3:;3.2$), $Y_2=-101+18.5X_1+0.4X_2+21X_3-{3.3X_1}^2-{0.01X_2}^2-{1.5X_3}^2-0.01X_1X_2-0.07X_1X_3-0.01X_2X_3$ ($R^2$= 99.4%, 수정 $R^2$ = 95.7%)와 35.2 uM ($X_1:;3;mW/cm^2$, $X_2:;220;uM$, $X_3:;6.3$), $Y_3=-6.2+0.2X_1+0.02X_2+2X_3-{0.26X_1}^2-{0.01X_2}^2-{0.2X_3}^2-0.004X_1X_2+0.1X_1X_3-0.02X_2X_3$ ($R^2$= 98%, 수정 $R^2$ = 94.4%)와 3.7 uM ($X_1:;4.5;mW/cm^2$, $X_2:;290;uM$, $X_3:;6.2$), $Y_4=-25+12.2X_1+0.15X_2+7.8X_3+{1.1X_1}^2+{0.001X_2}^2-{0.34X_3}^2+0.01X_1X_2+0.08X_1X_3-3.4X_2X_3$ ($R^2$= 98.5%, 수정 $R^2$ = 95.7%)와 74.5 uM ($X_1:;4.5;mW/cm^2$, $X_2:;220;uM$, $X_3:;3.1$). 반응표면분석법 중 하나인 박스-벤켄법은 UV 광분해에 의한 NDMA 분해 및 부산물 생성에 대한 통계학적 및 수학적인 결과 및 최적의 운전조건을 제시하였다. 예측모델의 검정을 통하여 박스-벤켄법은 매우 높은 신뢰성을 보였다.
We investigated and estimated at the characteristics of decomposition and by-products of N-Nitrosodimethylamine (NDMA) using a design of experiment (DOE) based on the Box-Behken design in an UV process, and also the main factors (variables) with UV intensity($X_2$) (range: $1.5{sim}4.5;mW/cm^2$), NDMA concentration ($X_2$) (range: 100~300 uM) and pH ($X_2$) (rang: 3~9) which consisted of 3 levels in each factor and 4 responses ($Y_1$ (% of NDMA removal), $Y_2$ (dimethylamine (DMA) reformation (uM)), $Y_3$ (dimethylformamide (DMF) reformation (uM), $Y_4$ ($NO_2$-N reformation (uM)) were set up to estimate the prediction model and the optimization conditions. The results of prediction model and optimization point using the canonical analysis in order to obtain the optimal operation conditions were $Y_1$ [% of NDMA removal] = $117+21X_1-0.3X_2-17.2X_3+{2.43X_1}^2+{0.001X_2}^2+{3.2X_3}^2-0.08X_1X_2-1.6X_1X_3-0.05X_2X_3$ ($R^2$= 96%, Adjusted $R^2$ = 88%) and 99.3% ($X_1:;4.5;mW/cm^2$, $X_2:;190;uM$, $X_3:;3.2$), $Y_2$ [DMA conc] = $-101+18.5X_1+0.4X_2+21X_3-{3.3X_1}^2-{0.01X_2}^2-{1.5X_3}^2-0.01X_1X_2+0.07X_1X_3-0.01X_2X_3$ ($R^2$= 99.4%, 수정 $R^2$ = 95.7%) and 35.2 uM ($X_1$: 3 $mW/cm^2$, $X_2$: 220 uM, $X_3$: 6.3), $Y_3$ [DMF conc] = $-6.2+0.2X_1+0.02X_2+2X_3-0.26X_1^2-0.01X_2^2-0.2X_3^2-0.004X_1X_2+0.1X_1X_3-0.02X_2X_3$ ($R^2$= 98%, Adjusted $R^2$ = 94.4%) and 3.7 uM ($X_1:;4.5;$mW/cm^2$, $X_2:;290;uM$, $X_3:;6.2$) and $Y_4$ [$NO_2$-N conc] = $-25+12.2X_1+0.15X_2+7.8X_3+{1.1X_1}^2+{0.001X_2}^2-{0.34X_3}^2+0.01X_1X_2+0.08X_1X_3-3.4X_2X_3$ ($R^2$= 98.5%, Adjusted $R^2$ = 95.7%) and 74.5 uM ($X_1:;4.5;mW/cm^2$, $X_2:;220;uM$, $X_3:;3.1$). This study has demonstrated that the response surface methodology and the Box-Behnken statistical experiment design can provide statistically reliable results for decomposition and by-products of NDMA by the UV photolysis and also for determination of optimum conditions. Predictions obtained from the response functions were in good agreement with the experimental results indicating the reliability of the methodology used.
