Judul: Pengolahan Limbah Cair Laboratorium dengan Proses Elektrokoagulasi
Abstrak: Liquid Laboratory waste contains dissolved heavy metals, such as mercury (Hg), silver (Ag), and chromium (Cr) in high concentrations and have potential to pollute the environment. The waste produced in small quantities, but the waste are toxic and until now there is no adequate treatment. Electrocoagulation is a liquid waste processing technique by agglomerate and precipitate fine particles in water using electrical energy. The purpose of this research was to determine of variations in power supply voltage and the contact time to find out the best combination of electrocoagulation process regarding the removal efficiency of the pollutants. Liquid waste as much as 500 mL was treated in batch mode using iron electrode. Samples were given a voltage of 6, 9, and 12 V for 1, 2, 3, and 4 hours. The best combination based on the reduction of color, turbidity, and TSS was 12 volts with a contact time of 2 hours. Total cost for the treatment was 85.74 rupiahs per L.
Keyword: Bogor Agricultural University, COD waste, electrocoagulation, iron electrode, laboratory waste

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: Monotonicity Properties of Trapezoid Sum Sequence on Class of Nonconvex and Nonconcave Function
Abstrak: Bernhard Riemann mendefinisikan integral tentu sebagai luas daerah di bawah kurva dari suatu fungsi real taknegatif pada sebuah interval yang tertutup dan terbatas. Beberapa alternatif yang dapat digunakan untuk menghampiri luas tersebut adalah Darboux sums melalui penjumlahan beberapa luas persegi panjang dan trapezoid sum melalui penjumlahan luas trapesium. Trapezoid sum lebih baik dalam menghampiri nilai integral untuk fungsi-fungsi yang well-behaved daripada Darboux sums. Untuk fungsi f yang bernilai real dan kontinu pada interval [a,b], f terintegral Riemann jika dan hanya jika f terintegral Darboux. Pada tesis ini ditunjukkan bahwa f terintegral Riemann jika dan hanya jika f terintegral secara trapesium. Misalkan f adalah suatu fungsi bernilai real yang kontinu pada interval [a,b]. Untuk setiap partisi P_n yang membagi [a,b] menjadi n subinterval dengan jarak yang sama, dibentuk trapezoid sum T_n (f) yang merupakan jumlah luas n trapesium sebagai pendekatan dari nilai integral f pada [a,b]. Jika f adalah fungsi konveks maka barisan trapezoid sum {T_n (f)} bersifat monoton turun dan akan bersifat monoton naik jika f fungsi konkaf. Fokus tesis ini adalah sifat kemonotonan barisan {T_n (f)} untuk fungsi f yang nonkonkaf dan fungsi f yang nonkonveks. Pada tesis ini dibuktikan sifat monoton turun dari {T_n (f)} secara generik tidak terjadi pada kelas fungsi nonkonkaf f, serta secara generik, barisan itu juga tidak monoton naik pada kelas fungsi nonkonveks. Meskipun demikian, sifat generik mengakibatkan bahwa untuk sebarang fungsi f baik di kelas fungsi nonkonkaf maupun nonkonveks, terdapat fungsi g yang menghampiri f sedemikian sehingga ekor barisan {T_n (g)} bersifat monoton. Ditunjukkan pula bahwa himpunan fungsi naik nonkonkaf dengan {T_n (f)} yang tidak monoton turun dense terhadap kelas fungsi naik nonkonkaf f. Hal tersebut juga ditunjukkan untuk himpunan fungsi turun nonkonkaf terhadap kelas fungsi turun nonkonkaf. Lalu, dibuktikan bahwa himpunan fungsi naik nonkonveks dan himpunan fungsi turun nonkonveks dengan {T_n (f)} yang tidak monoton naik, berturut-turut dense terhadap kelas fungsi naik nonkonveks dan turun nonkonveks. Himpunan-himpunan yang dense tersebut mengartikan bahwa setiap fungsi f pada kelas-kelas tersebut, dapat dihampiri oleh suatu fungsi g yang bersesuaian dengan kelas-kelas tersebut sedemikiam sehingga barisan {T_n (g)} tidak monoton., Bernhard Riemann defined definite integral as an area under the curve of a real nonnegative function on a closed bounded interval. The alternatives that can be used to estimate the area are Darboux sum which is sum of rectangular areas and trapezoid sum which is sum of trapezium areas. Trapezoid sum is better than Darboux sum as approximations toward the integral of well-behaved functions. Let f be a real valued continuous function on interval [a,b], f is Riemann integrable if and only if it is Darboux integrable. In this master’s thesis, it showed that f is Riemann integrable if and only if it is trapezium integrable. Let f be a real valued continuous function on interval [a,b]. For each partition P_n that divides the interval [a,b] into n equal length subintervals, defined trapezoid sum T_n (f) which is the total of n trapezium areas as an approach of integral value f on [a,b]. If f is a convex function then the trapezoid sum sequence {T_n (f)} is decreasing
Keyword: monotonicity, nonconcave, nonconvex, trapezoid sum