Question

A radioactive dye solution is injected into a (full) pipe with the characteristics listed below. The dye solution contains 5000 mg/L of dye and it is injected at a rate of 0.1 m3/h. If the dye decays with a rate constant of 0.5/day, calculate concentration in the water at the end of the pipe. Pipe length downstream of the injection point = 2000 m. Pipe cross sectional area = 5 m2. Flow = 250 m3/h. Concentration of dye upstream of the injection point = 0.

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