A wastewater treatment plant discharges 1E-5 m^3/day of treated waste to a river

Question

A wastewater treatment plant discharges 1E-5 m^3/day of treated waste to a river. Immediately upstream of the plant, the ultimate CBOD is 2 mg/L and the flow is 9E5 m^3/day. At a distance of 20 km downstream of the plant, the river has an ultimate CBOD of 10 mg/L. The state has set an ultimate CBOD discharge limit for the treatment plant of 2000 kg/day. The river has a velocity of 20km/day. The CBOD decay coefficient is .1/day. Is the plant in violation of the discharge limit?
For lifesaver: Please include all equations used

Explanation / Answer

yes it is in violation of the discjharge limits.......................... CBOD increases from 2 to 10, hence increases by 8 mg/L= 8 g/m^3. This implies that 8*9E5 g/day CBOD increase due to the plant . this is equal to 7200 Kg/day CBOD release by plant . Even with the decay of CBOD given , the plant is going to violate the discharge limit

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