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ÀÛ¼ºÀÚ Uploader : È£¹Ú°í±¸¸¶ ÀÛ¼ºÀÏ Upload Date: 2022-03-11º¯°æÀÏ Update Date: 2022-03-11Á¶È¸¼ö View : 291

¼öºÐÇÔ·® P1 (%) ÀÎ ½ÄÇ° M (kg) À» °ÇÁ¶±â¿¡ ÅõÀÔÇÏ¿© ¼öºÐÇÔ·® P2 (%) ·Î ³·Ãâ ¶§, Á¦°ÅÇÏ¿©¾ß ÇÒ ¼öºÐÀÇ Áú·® dM (kg) À» ±¸ÇÑ´Ù.

°ÇÁ¶Àü ½ÄÇ°ÀÇ ¼öºÐ·®À» Mw1 (kg), ³ª¸ÓÁö¸¦ Ms (kg) ¶ó Çϸé,

Mw1 = (P1/100)*M

Ms = M - Mw1 = M-(P1/100)*M = (1-P1/100)*M

°ÇÁ¶ ÈÄ ¼öºÐ·®À» Mw2 ¶ó Çϸé,

P2 = (Mw2/(Mw2+Ms))*100

P2/100 = Mw2/(Mw2+Ms)

(1-P2/100)*Mw2 = (P2/100)*Ms

Mw2 = (P2/100)*Ms/(1-P2/100) = (P2/100)*(1-P1/100)*M/(1-P2/100)
      = (P2/100)*(100-P1)*M/(100-P2)

µû¶ó¼­,

dM = Mw1-Mw2 = (P1/100)*M-(P2/100)*(100-P1)*M/(100-P2)
    = (1/100)*(P1-P2*(100-P1)/(100-P2))*M

ÀÌ µÈ´Ù.

*** Âü°í¹®Çå[References] ***

dM = (1/100)*(P1-P2*(100-P1)/(100-P2))*M
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