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GATE 2024 ES – Question 41

Air and Noise Pollution · Particulate Pollutants · 2 marks · Multiple choice

A settling chamber has height H, length L, horizontal air speed $V_h$ and particle terminal settling speed $V_t$. Which equality defines the minimum particle captured at 100% ideal efficiency?

  1. $V_t/L=V_h/H$
  2. $V_hV_t=LH$
  3. $V_h=V_tLH$
  4. $V_t/H=V_h/L$

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Correct answer: (D) $V_t/H=V_h/L$

Explanation

The limiting particle starts at the top and just reaches the bottom at the outlet. Vertical settling time is $H/V_t$ and horizontal residence time is $L/V_h$. Equating gives $H/V_t=L/V_h$,or **$V_t/H=V_h/L$,D**. Faster-settling particles are fully captured in this ideal plug-flow chamber.

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