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A source releases a contaminant at \( 20 \ \mathrm{mg/h} \) into a room ventilated with clean air at \( 100 \ \mathrm{m^3/h} \). The steady concentration is

  • A.\( 2000 \ \mathrm{mg/m^3} \)
  • B.\( 0.2 \ \mathrm{mg/m^3} \)
  • C.\( 2.0 \ \mathrm{mg/m^3} \)
  • D.\( 5.0 \ \mathrm{mg/m^3} \)

Answer: B

Correct answer: \( 0.2 \ \mathrm{mg/m^3} \)

At steady state the rate in equals the rate out, so with clean supply air:

\[ C = \frac{G}{Q} = \frac{20}{100} = 0.2\ \mathrm{mg/m^3} \]

Note what does not appear: the room volume. Volume governs how quickly the steady state is reached, not what it is - a large room takes longer to reach the same concentration. Only the source strength and the ventilation flow determine the eventual level.

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