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A plant along the river accidentally spilled 5 × 105 Bq of 137Cs into the river....

A plant along the river accidentally spilled 5 × 105 Bq of 137Cs into the river. Average river width, depth, and velocity are 40 m, 5 m, and 3 m s?1, respectively. The longitudinal dispersion coefficient of the river is estimated to be 200 m2 s?1. A nearby city uses the river for drinking water and has its water intake station 5 km downstream from the plant. Assuming that 137Cs will be fully mixed across the river cross section by the time it reaches the city intake station and that radionuclide decay is negligible,

What will the 137Cs concentration be at the intake station 30 min after the accidental spill?

What will the 137Cs concentration be and at what time will it occur when the center of 137Cs plume patch arrives at the city intake station?

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