Penentuan Distribusi Ukuran Partikel Tepung Terigu dengan Metode Pengapungan Batang (Buoyancy Weighing-Bar Method)

LAMPIRAN 1 CONTOH PERHITUNGAN

  Untuk perhitungan, diambil contoh data dari Metode Pengapungan Batang yang menggunakan etanol murni Tabel L1.1. Data Etanol Murni Dengan Metode Pengapungan Batang

  Waktu t (s) Massa Batang

  G (kg) Waktu t (s)

  Massa Batang G (kg)

  Waktu t (s) Massa Batang

  G (kg) 0,0779928 2040 0,0780394 4140 0,0780501 60 0,0780037 2100 0,0780400 4200 0,0780504

  120 0,0780095 2160 0,0780400 4260 0,0780508 180 0,0780137 2220 0,0780401 4320 0,0780508 240 0,0780168 2280 0,0780405 4380 0,0780512 300 0,0780198 2340 0,0780412 4440 0,0780513 360 0,0780224 2400 0,0780415 4500 0,0780518 420 0,0780247 2460 0,0780416 4560 0,0780519 480 0,0780263 2520 0,0780416 4620 0,0780524 540 0,0780278 2580 0,0780417 4680 0,0780527 600 0,0780287 2640 0,0780424 4740 0,0780527 660 0,0780306 2700 0,0780428 4800 0,0780530 720 0,0780311 2760 0,0780430 4860 0,0780531 780 0,0780320 2820 0,0780436 4920 0,0780532 840 0,0780327 2880 0,0780450 4980 0,0780534 900 0,0780333 2940 0,0780450 5040 0,0780538 960 0,0780339 3000 0,0780450 5100 0,0780541 1020 0,0780347 3060 0,0780454 5160 0,0780541

  1080 0,0780350 3120 0,0780454 5220 0,0780545 1140 0,0780354 3180 0,0780454 5280 0,0780546 1200 0,0780358 3240 0,0780459 5340 0,0780549 1260 0,0780361 3300 0,0780466 5400 0,0780549 1320 0,0780365 3360 0,0780466 5460 0,0780549 1380 0,0780370 3420 0,0780470 5520 0,0780550 1440 0,0780371 3480 0,0780473 5580 0,0780551 1500 0,0780373 3540 0,0780476 5640 0,0780555 1560 0,0780377 3600 0,0780477 5700 0,0780555 1620 0,0780383 3660 0,0780479 5760 0,0780556 1680 0,0780383 3720 0,0780483 5820 0,0780559 1740 0,0780386 3780 0,0780486 5880 0,0780562 1800 0,0780388 3840 0,0780488 5940 0,0780563 1860 0,0780392 3900 0,0780491 6000 0,0780563 1920 0,0780392 3960 0,0780495 ... ... 1980 0,0780394 4080 0,0780496 7200 0,0780563

  1.1 MENENTUKAN UKURAN PARTIKEL

  Penentuan kumulatif massa partikel menggunakan persamaan 2.15 dan 2.16

     

  t dt dG G G ^Bt _{Rt Bt}

  ) 0,0780563 kg

  B∞

  ) 0,0000002 kg Massa batang saat t = 1500 detik (G Bt ) 0,0780373 kg Massa batang saat t = 0 detik (G B0 ) 0,0779928 kg Massa batang saat t akhir (G

  Tabel L1.3. Data Besaran Untuk Fasa Cair Etanol Murni Pada Waktu 1500 detik Selisih waktu (∆t) 60 detik Selisih massa batang (∆G Bt

   

  R x _{B B} ^{B Rt}    

  ) ( ( 1 ) x D G G G G

  1.2 MENENTUKAN KUMULATIF MASSA PARTIKEL

  Ukuran partikel ditentukan dengan persamaan 2.17 √

  )

  √ (

  √ ( )

  3 Maka, ukuran partikel saat t = 1500 detik adalah:

  3 Densitas Larutan ρ L 802 kg/m

  2 Densitas Partikel Tepung ρ p 1250 kg/m

  Panjang Batang h 0,21 m Percepatan Gravitasi g 9,8 m/s

  L 0,000980 kg/m.s

  Viskositas Larutan μ

  ( ) dengan data sebagai berikut: Tabel L1.2. Data Besaran Untuk Fasa Cair Etanol Murni

      Maka:

  dG   _Bt

  G  G  t _{Bt Rt}   dt

     dG  _Bt G  G  t _{Rt Bt}

    dt

     , 0000002 

  G  , 0780473  1500 _Rt  

  60   G  , 0780323 _Rt

  Kumulatif Massa Oversize (R): G  G _{Rt B} R ( x ) 

  G  G _{B  B} , 0780323  , 0779928

  R ( x )  , 0780563  , 0779928

  R x ( )  0, 57895

  Kumulatif Massa Undersize (D): D x R(x)

  ( )  1  D x

  ( )  1  0, 57895 D x

  ( )  0, 42105 persentase D x x

  ( )  0, 42105 100% persentase D x

  ( )  42,105 %

  Berdasarkan perhitungan yang dilakukan, maka didapatkan hasil distribusi ukuran partikel untuk fasa cair etanol murni, metanol murni, dan kerosin yang ditunjukkan pada Tabel L1.4, L1.5, dan L1.6.

  Tabel L1.4. Distribusi Ukuran Partikel Menggunakan Fasa Cair Etanol Murni Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran Partikel x (μm)

  Kumulatif Massa

  Undersize

  D (%) 113,491 100,000 17,944 33,333 12,533 14,035

  80,250 89,474 16,918 31,579 12,457 14,035 65,524 82,456 16,733 31,579 12,383 12,281 56,745 77,193 16,554 29,825 12,310 12,281 50,755 71,930 16,381 28,070 12,238 12,281 46,332 68,421 16,213 28,070 12,168 10,526 42,895 63,158 16,050 28,070 12,098 10,526 40,125 61,404 15,892 28,070 12,030 10,526 37,830 57,895 15,738 28,070 11,832 10,526 35,889 56,140 15,589 28,070 11,768 10,526 34,219 52,632 15,444 26,316 11,406 8,772 32,762 52,632 15,303 24,561 11,349 7,018 31,477 50,877 15,166 24,561 10,870 7,018 30,332 49,123 15,032 24,561 10,821 5,263 29,303 49,123 14,902 24,561 10,772 5,263 28,373 47,368 14,775 22,807 10,724 5,263 27,526 45,614 14,652 22,807 10,676 3,509 26,750 45,614 14,531 22,807 10,492 1,754 26,037 45,614 14,413 22,807 10,448 0,000 25,377 43,860 14,299 21,053 24,766 43,860 14,186 21,053 24,196 42,105 14,077 21,053 23,664 42,105 13,970 19,298 23,166 42,105 13,763 19,298 22,698 42,105 13,663 19,298 22,257 40,351 13,565 19,298 21,841 40,351 13,469 17,544 21,448 40,351 13,375 17,544 21,075 38,596 13,283 17,544 19,464 38,596 13,193 17,544 19,183 36,842 13,105 15,789 18,915 36,842 13,018 15,789 18,658 36,842 12,934 15,789 18,411 35,088 12,850 14,035 18,173 35,088 12,610 14,035

  Tabel L1.5. Distribusi Ukuran Partikel Menggunakan Fasa Cair Metanol Murni Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran Partikel x

  (μm) Kumulatif

  Massa

  Undersize

  D (%) 90,436 100,000 14,309 25,106 8,104 4,468 70,998 89,043 14,103 23,830 8,066 3,936 58,172 81,489 13,906 22,766 8,029 3,617 51,248 75,958 13,360 21,170 7,992 3,298 45,946 69,894 13,192 20,532 7,955 3,191 42,033 66,170 12,724 18,192 7,919 2,340 38,991 62,234 12,578 17,979 7,780 2,021 36,540 60,106 12,043 16,383 7,747 1,489 34,509 57,766 11,683 15,426 7,714 1,277 32,791 54,787 11,570 15,213 7,681 0,745 31,313 52,234 10,118 14,468 7,617 0,319 30,023 49,255 10,045 13,830 7,583 0,000 28,886 47,553 9,972 12,979 27,873 44,787 9,902 12,660 26,962 43,404 9,833 12,234 26,139 42,553 9,765 12,021 25,389 41,064 9,699 11,596 24,703 40,319 9,328 11,489 24,072 39,149 9,271 10,426 19,687 37,553 9,214 9,894 19,237 36,277 9,104 9,787 18,244 34,575 9,050 9,362 17,398 33,830 8,997 8,511 17,031 32,766 8,945 7,340 16,687 32,128 8,894 7,128 16,363 30,532 8,844 6,915 15,494 29,255 8,795 6,383 15,233 28,404 8,746 5,851 14,986 27,021 8,699 5,532 14,750 26,489 8,143 4,787 Tabel L1.6. Distribusi Ukuran Partikel Menggunakan Fasa Cair Kerosin Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) 154,794 100,000 27,802 58,324 17,640 19,264 109,456 100,910 27,364 57,452 17,527 19,037

  89,370 96,397 26,946 56,769 17,416 18,620 77,397 92,643 25,448 54,721 17,306 18,278 69,226 90,671 24,475 54,001 17,199 17,596 63,194 88,889 24,175 53,622 17,094 16,534 58,507 86,765 23,885 52,863 16,991 15,358 54,728 84,718 23,606 52,332 16,889 13,917 51,598 83,390 23,336 51,536 16,790 11,908 48,950 81,911 23,075 50,398 15,882 11,263 46,672 79,636 22,823 49,829 15,799 10,353 44,685 78,498 22,579 48,730 15,717 9,746 42,932 77,361 21,891 46,985 15,479 8,987 41,370 76,337 21,675 46,341 15,403 8,684 39,968 74,896 21,466 45,355 15,327 8,457 38,698 74,024 21,065 44,558 15,252 7,774 37,543 73,151 20,872 44,217 15,179 7,243 36,485 72,279 20,685 43,534 15,106 6,864 35,512 71,445 20,503 42,966 15,035 6,371 34,613 70,800 20,325 41,676 14,965 5,954 33,779 69,852 20,152 41,107 14,895 5,612 33,002 68,715 19,984 38,832 14,827 5,233 32,277 67,501 19,819 37,088 14,759 4,968 31,597 66,515 19,659 34,850 14,692 4,020 30,959 64,619 18,911 32,613 14,562 3,413 30,358 63,178 18,772 31,930 14,498 3,337 29,790 62,116 18,635 27,228 14,435 3,072 29,253 61,396 18,501 23,777 14,372 1,214 28,744 60,410 18,371 21,388 14,190 0,038 28,261 59,651 18,243 19,302 14,131 0,000 Untuk pembanding hasil dari Metode Pengapungan Batang, digunakan Metode

  Sedimentation Balance dengan data distribusi ukuran partikelnya pada Tabel L1.7

  Tabel L1.7. Distribusi Ukuran Partikel Metode Sedimentation Balance Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) Ukuran

  Partikel x (μm) Kumulatif

  Massa

  Undersize

  D (%) 113,491 100,000 20,384 13,208 12,934 4,717

  80,250 87,736 19,756 12,736 12,850 4,245 65,524 76,415 19,464 12,264 12,769 4,245 56,745 67,453 19,183 11,792 12,689 4,245 50,755 59,434 18,915 11,792 12,383 3,774 46,332 53,774 18,658 11,321 12,310 3,774 42,895 48,585 17,944 10,849 12,238 3,774 40,125 43,396 17,724 10,377 12,168 3,774 37,830 40,094 16,918 9,906 12,098 3,302 35,889 36,321 16,733 9,434 12,030 3,302 34,219 33,491 16,050 8,962 11,963 3,302 32,762 30,660 15,892 8,491 11,897 2,830 31,477 28,302 15,444 8,019 11,583 2,830 30,332 27,358 15,303 7,547 11,523 2,358 29,303 25,943 14,531 7,075 11,464 2,358 28,373 24,057 14,413 6,604 11,406 2,358 27,526 22,642 14,299 6,604 11,349 1,887 26,750 21,226 14,186 6,604 11,293 1,887 26,037 20,283 14,077 6,132 11,237 1,887 25,377 19,340 13,970 6,132 11,183 1,887 24,766 18,396 13,865 6,132 11,129 1,887 24,196 17,453 13,763 5,660 11,076 1,415 23,664 16,981 13,663 5,660 11,023 1,415 23,166 16,038 13,565 5,660 10,821 0,943 22,698 15,566 13,469 5,660 10,772 0,943 22,257 15,094 13,375 5,189 10,724 0,472 21,841 14,623 13,283 5,189 10,629 0,472 21,448 14,151 13,193 5,189 10,583 0,472 21,075 14,151 13,105 5,189 10,404 0,000 20,720 13,679 13,018 4,717