Judul: Fungsi Interpolasi untuk Tabel Mortalita
Abstrak: Every human has a risk of death. Insurance is a way to minimize the risk. People who join the insurance have an obligation to pay a premium. One of the parameters to calculate the premium price is the table of mortality. The purpose of this paper is to model the table of mortality with the interpolation method and analyze the difference of premium price between endowment insurance with term insurance. We use the method of linear, quadratic, and more than two degree spline interpolation. The best interpolation method for the mortality table is a linear spline interpolation because the error of calculate is relative small.
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Judul: Aplikasi Tabel Select-dan-Ultimate dalam Penentuan Premi Asuransi
Abstrak: Mortality is one of the three demographic components, namely mortality, fertility, and migration. Life table can be constructed mathematically to give a description of mortality. Life table is also needed to determine insurance premiums. Being insured can reduce losses caused by accidents, because insurance is a product of planning for the future. In general, life table is constructed based on some health informations. But, certain selected health informations may result in different life table, which is called select-and-ultimate table. The purpose of this paper is to study and construct life table as well as select-and-ultimate table. Futhermore, select-and-ultimate table is applied to determine insurance premiums. The results of the analysis show that the select-and-ultimate table can reduce the premiums paid by insurance participants
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Judul: Penentuan Kondisi Proses Pemisahan Sitronelal dan Rhodinol dari Minyak Sereh Wangi dengan Distilasi Fraksinasi Vakum
Abstrak: Minyak sereh wangi merupakan salah satu minyak atsiri yang memiliki komponen utama sitronelal dan rhodinol. Komponen utama tersebut dapat dipisahkan dengan metode distilasi fraksinasi. Proses distilasi fraksinasi dengan alat dan kondisi proses berbeda berpengaruh terhadap proses pemisahan fraksi minyak sereh wangi. Oleh karena itu, perlu diketahui pengaruh suhu dan rasio refluks pada proses pemisahan sitronelal dan rhodinol minyak sereh wangi dari unit distilasi fraksinasi vakum kapasitas 7L yang telah di desain dengan spesifikasi tertentu. Proses pemisahan dilakukan pada tekanan 60 mmHg dengan umpan 5L dan dilanjutkan proses redistilasi fraksi kaya sitronelal dan rhodinol. Fraksi sitronelal dan rhodinol yang dihasilkan dilakukan analisis GC-MS untuk mengetahui konsentrasi masing-masing fraksi. Variasi refluks yang digunakan pada pemisahan sitronelal yaitu 12:4, 6:4, 6:2 dan 10:10. Suhu dan rasio refluks berpengaruh terhadap kemurnian fraksi. Kemurnian fraksi sitronelal tertinggi yang dihasilkan yaitu sebesar 50,55% dan fraksi rhodinol sebesar 37,09% pada rasio refluks 6:4. Proses redistilasi fraksi kaya sitronelal dan rhodinol menghasilkan konsentrasi senyawa sitronelal sebesar 42,72% dan senyawa rhodinol sebesar 32,51% dengan rasio refluks 10:10. Kemurnian sitronelal meningkat dan waktu proses lebih singkat dikarenakan pada suhu dan rasio refluks yang digunakan, alat bekerja lebih baik sehingga menghasilkan kemurnian lebih tinggi. Kata kunci: distilasi fraksinasi vakum, minyak sereh wangi, refluks, rhodinol, sitronelal, Citronella oil is one of the essential oils that has the main components of citronellal and rhodinol. The main components can be separated by fractional distillation method. Fractional distillation process with different tools and process conditions affect the separation process of citronella oil fraction. Therefore, it is necessary to know the effect of temperature and reflux ratio on the separation process of citronellal and rhodinol of citronella oil from a 7L capacity vacuum fractionation distillation unit which has been designed with certain specifications. The separation process was carried out at a pressure of 60 mmHg with 5L feed and continued with the redistillation process of the citronellal and rhodinol-rich fractions. The resulting citronellal and rhodinol fractions were analyzed by GC-MS to determine the concentration of each fraction. Reflux variations used in citronellal separation are 12:4, 6:4, 6:2 and 10:10. Temperature and reflux ratio affect the purity of the fraction. The highest purity of the citronellal fraction produced was 50.55% and the rhodinol fraction was 37.09% at a reflux ratio of 6:4. The redistillation process of citronellal and rhodinol-rich fractions resulted in a concentration of citronellal compounds of 42.72% and rhodinol compounds of 32.51% with a reflux ratio of 10:10. The purity of citronellal is increased and the processing time is shorter because at the temperature and reflux ratio used, the tool works better resulting in higher purity. Keywords: citronella oil, citronellal, rhodinol, reflux, vacuum fractional distillation
Keyword: distilasi fraksinasi vakum, minyak sereh wangi, refluks, rhodinol, sitronelal