Excess irrigation water runs off a farmer\'s field and carries fertilizer and ot

Question

Excess irrigation water runs off a farmer's field and carries fertilizer and other pollutants. The field runoff has the following characteristics: flow= 20m^3/min and total suspended solids (TSS) content= 400mg/l. It combines with a hog pen wash out stream with a flow of 5m^3/min and TSSof 800mg/L. What is the TSS content of the combined stream?

[NO NEED TO ANSWER/SHOW STEPS FOR THE ABOVE QUESTION]

The answer to the above problem is 480 mg/L. A settling basin is built to separate out most of the TSS form the combined stream before it flows into the nearby river. When the settling basin is operating at steady state, it discharges two streams; a "clean" one to the river and a "dirty" one to a disposal lagoon. The concentration of TSSin the clean stream going into the river is 80mg/L and the concentration of TSS in the dirty stream from the settling basin to the lagoon is 4,000 mg/L. Calculate the flow rates of the two discharge stream (m^3/min) from the settling basin.

Please show steps for the second part

Final answers ( Qclean = 22.45m3/min; Qdirty = 2.55m3/min)

Explanation / Answer

A) when mixed, total volume flow rate = 20+5 =25 m^3/min

now balancing the TSS content mass,

20*400+5*800=25*x

or x=25 mg/L

B) let the volume flow rate of the clean stream be x and that of the dirty stream be y.

Now balancing the TSS content mass,

25 * 480 = x*80 + 4000*y

also balaning the volume flow rate,

x+y=25

solvig we get, x=22.45 m^3/min

y=2.55 m^3/min

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