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Two electrostatic precipitators (ESPs) are in series. The fractional efficiencies of upstream and downstream ESPs for size dp are 80% and 65% respectively.
What is the overall efficiency of the system for the same dp?
  • a)
    100%
  • b)
    93%
  • c)
    80% 
  • d)
    65%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two electrostatic precipitators (ESPs) are in series. The fractional e...

Let X be the concentration of particles in flue gas.
∴ Particles remained after ESP1 = (1-0.8) X = 0.2 X
Particles remained after ESP2 = (1-0.65) 0.2 X = 0.07 X
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Most Upvoted Answer
Two electrostatic precipitators (ESPs) are in series. The fractional e...
Given information:
- Two electrostatic precipitators (ESPs) are in series.
- Fractional efficiencies of upstream ESP for size dp is 80%.
- Fractional efficiencies of downstream ESP for size dp is 65%.

To find:
- Overall efficiency of the system for the same dp.

Solution:
When two ESPs are placed in series, the particles that are not collected in the first ESP will be collected in the second ESP. Therefore, the overall efficiency of the system would be the product of the efficiencies of the two ESPs.

Let E1 be the efficiency of the upstream ESP and E2 be the efficiency of the downstream ESP. Then the overall efficiency E of the system is given by:

E = E1 x E2

Substituting the given values, we get:

E = 0.8 x 0.65
E = 0.52 or 52%

Therefore, the overall efficiency of the system for the same dp is 52%.

Answer: Option B (93%) is incorrect. The correct answer is option B (52%).
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