A tray-type paddy separator separates paddy from a paddy/brown-rice mixture at feed rate 1200 kg/h. Mass fractions of paddy in feed, separated-paddy stream, and brown-rice stream = 0.2, 0.75, 0.02. Find the amount of paddy in the separated-paddy stream (kg/h). (Rounded to 2 decimal places)
Official Answer Key:
221.00 to 223.00
Step-by-Step Solution & Explanation
Overall paddy mass balance: F·xf = P·xp + (F−P)·xb, with F=1200, xf=0.2, xp=0.75, xb=0.02. 1200×0.2 = 0.75P+0.02(1200−P) ⇒ 240 = 0.73P+24 ⇒ P = 295.89 kg/h (total separated-paddy-stream mass). Paddy content in that stream = P×xp = 295.89×0.75 ≈ 221.92 kg/h.
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