Engineering Board Exam Reviewer · Environmental Engineering · hard

A well-mixed lake (volume 100,000 m3, outflow 10,000 m3/day) receives 1000 kg/day of a pollutant that decays with k = 0.1/ day. What is the steady-state concentration in the lake?

  1. 50 mg/L
  2. 100 mg/L
  3. 9.1 mg/L
  4. 10 mg/L

Answer

A. 50 mg/L

Solution

At steady state: C = W/(Q + kV) = (1,000,000 g/d)/(10,000 + 0.1 × 100,000) m3/d = 50 g/m3 = 50 mg/L.

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