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A stack emits \( 40 \) g/s of particulate at a gas flow of \( 25 \) m\(^3\)/s. The concentration in the flue gas is

  • A.625 mg/m\(^3\)
  • B.1600 mg/m\(^3\)
  • C.1000 mg/m\(^3\)
  • D.160 mg/m\(^3\)

Answer: B

Correct answer: 1600 mg/m\(^3\)

Concentration is the mass emission rate divided by the volumetric gas flow:

\[ C = \frac{40\ \mathrm{g/s}}{25\ \mathrm{m^3/s}} = 1.6\ \mathrm{g/m^3} = 1600\ \mathrm{mg/m^3} \]

The unit conversion is where the marks are lost: a gram per cubic metre is a thousand milligrams per cubic metre. In practice the figure would also have to be corrected to reference conditions - a stated temperature, pressure and oxygen content - before it could be compared with an emission limit.

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