Particle emissions in a house. The power goes out in your apartment (volume = 150 m3) at night, so you decide to light a few candles. These candles have a combined particle emission rate of E = 2.0 mg/h. Your apartment has a ventilation flow of 1.5 m3/min and the particles have a first order loss rate (due to deposition, which acts similar to a reaction) of 0.25 h−1, so: Write the differential equation and define the source and loss terms. Calculate the values for the source and loss terms and rewrite the differential equation with these values. What is the steady state particle concentration in your house (in μg/m3)

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter8: Direct Use Of Solar Energy
Section: Chapter Questions
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Particle emissions in a house. The power goes out in your apartment (volume = 150 m3) at night, so you decide to light a few candles. These candles have a combined particle emission rate of E = 2.0 mg/h. Your apartment has a ventilation flow of 1.5 m3/min and the particles have a first order loss rate (due to deposition, which acts similar to a reaction) of 0.25 h−1, so:

  1. Write the differential equation and define the source and loss terms.
  2. Calculate the values for the source and loss terms and rewrite the differential equation with these values.
  3. What is the steady state particle concentration in your house (in μg/m3)?
  4. Write the time-varying solution to this problem and calculate the particle concentration after 1 hour of candle-burning (in μg/m3).
  5. If after 1 h of lighting the candles the power returns and the candles are all immediately put out, what will be the particle concentration 3 h after first lighting the candles?
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