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GATE 2021 CE (CE1) – Question 61

Air Pollution and Municipal Solid Wastes · Air pollution: pollutants, sources, impacts, control and air quality index · 2 marks · Numerical answer

A baghouse treats 12 m³/s with five equal-area sections; one may be offline while four operate. Air-to-cloth ratio is 6 m³/(min·m²). Bags have diameter 0.32 m and length 5 m. Find total number of bags (integer).

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Correct answer: 30 to 30

Explanation

Convert flow to 720 m³/min. Four operating sections require 720/6=120 m², so each section needs 30 m². One bag provides $\pi dL=\pi(0.32)(5)=5.02655$ m². Each section needs ceil(30/5.02655)=6 bags, hence five sections need **30 bags**. The standby section must also be equipped.