Judul: Optimasi Penggunaan Koagulan Terhadap Rancangan Unit Koagulasi, Flokulasi, dan Sedimentasi pada Pengolahan Air Limbah Laboratorium
Abstrak: Laboratories wastewater of Bogor Agricultural University (IPB) Dramaga is one of the parties who contribute environmental pollution. Waste Water Treatment Plant (WWTP) located in front of the Veterinary Medicine Faculty serves to treat wastewater in order that appropiate with the treshold. The systems which is used in WWTP IPB is coagulation, flocculation, sedimentation, filter system (sand filters and carbon filters), and disinfection. The objective of this research is to analyze the characteristics of laboratiories wastewater, optimization of using coagulants, and designing coagulation-flocculation and sedimentation units, along with making the mass balance. This study done in two stages, the first stage was primary and secondary data collecting and the second stage was wastewater characteristics analyzing, doing jar test, and design units. Based on the results, the parameters pH, N-NO2, NH3, H2S has met quality standards but TDS, COD, BOD, oil and grease do not meet the threshold . The final concentration of TDS, COD, BOD, and oil and grease in a row at 11273 mg /L, 3300 mg/L, 442 mg/L, and 181 mg/L. The optimum dose of coagulant that can be used for wastewater treatment lab was 6250 mg/L PAC + 62500 mg/L alum. The mass balance indicates that TSS concentration at efluent already under the threshold that is 93 mg/L, whereas BOD was still above the threshold which was 331.77 mg / L. On coagulation and flocculation unit, stirrer speed does not meet the criteria. On sedimentation unit, BOD can be reduced up to 48 % and TSS reduction can be up to 70 %.
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Judul: Rancangan Instalasi Pengolahan Air limbah Industri dengan proses biologis Biological nutrient removal
Abstrak: Kegiatan industri yang menghasilkan limbah cair, berpotensi menimbulkan pencemaran air di lingkungan apabila tidak diolah dengan sesuai. Penelitian ini bertujuan menganalisis dan mengidentifikasi karakteristik limbah cair PT. W, membuat rancangan unit IPAL yang sesuai, serta menganalisis efektivitas penggunaan mikroba pada pengolahan biologis biological nutrient removal. Metode pengujian serta baku mutu yang digunakan adalah SNI pengujian air limbah, Peraturan Menteri Negara Lingkungan Hidup Nomor 03 Tahun 2010, dan Keputusan Gubernur DKI Jakarta No. 582 Tahun 2005. Hasil analisis menunjukkan bahwa nilai Total Suspended Solids (TSS), amonia (NH3), Biochemical Oxygen Demand (BOD), Chemical Oxygen Demand (COD), Sulfida (S), minyak dan lemak serta fecal coliform melampaui baku mutu sehingga perlu diolah lebih lanjut. Rancangan unit IPAL yang digunakan adalah bak ekualisasi, bak penampung, bar screen, grit chamber, sedimentasi primer, biological nutrient removal, clarifier, desinfeksi, sludge thickener, sludge digester, dan sludge drying bed. Biological nutrient removal merupakan unit pengolahan biologis suspended growth yang dipilih karena unit dapat dirancang untuk menurunkan nilai BOD, TSS, dan NH3 menjadi 10 mg/l, 10 mg/l, dan 1 mg/l. Tingkat efektivitas penggunaan mikroorganisme dalam unit ini dapat diketahui dari persen penurunan nilai parameter pencemar., Industrial activities that produces waste water, causes water pollution if it not treated properly. The research objectives were to analyze and identify PT. W wastewater characteristic, to design an appropriate WWTP of PT. W and analyze the effectiveness of microorganism at biological process biological nutrient removal. The method used was based on SNI of wastewater analyzing, Regulation of Minister of the Environment Number 03/2010, and DKI Jakarta‘s Governor Regulation Number 582/2005. Result of the analysis showed TSS, NH3, S, BOD, COD, oil and grease, and fecal coliform exceeded the threshold. The units that used are equalization tank, bar screen, grit chamber, primary sedimentation, biological nutrient removal (BNR), clarifier, disinfection, sludge thickener, sludge digester, and sludge drying bed. Biological nutrient removal is suspended growth biological process were chosen because it could remove BOD, TSS, and NH3 concentration into 10 mg/l, 10 mg/l, and 1 mg/l. The effectivity of microorganism uses can be known by percent removal of indicator concentrations.
Keyword: air limbah, biological nutrient removal, IPAL

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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