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Concentration After Mixing Two Streams

Easymixingmass balance
A stream of 1 m3/s at 10 mg/L mixes completely with a stream of 2 m3/s at 4 mg/L. Assuming a conservative solute and no other sources or sinks, what is the final concentration?
  1. A4 mg/L
  2. B6 mg/L
  3. C7 mg/L
  4. D14 mg/L
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Answer: B. 6 mg/L

Use a flow-weighted mass balance: Cmix = (Q₁C₁ + Q₂C₂)/(Q₁ + Q₂) = (1 × 10 + 2 × 4)/(1 + 2) = 18/3 = 6 mg/L.
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