A reactive chemical disposed of by dilution dissipates at a uniform rate of 0.15mg/l per hour.The waste discharge is 7 million gallons per day containing 35 mg/l,while the stream has zero concentration with a flow above sewer outfall of 102ft^3. If the mean velocity in the river is 0.8ft/s.calculate the distance down stream that the chemical residue persists

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A reactive chemical disposed of by dilution dissipates at a uniform rate of 0.15mg/l per hour.The waste discharge is 7 million gallons per day containing 35 mg/l,while the stream has zero concentration with a flow above sewer outfall of 102ft^3. If the mean velocity in the river is 0.8ft/s.calculate the distance down stream that the chemical residue persists

Expert Solution
Step 1

The distance down stream that the chemical residue persists is to be calculated.

Step 2

The distance required is given as,

                                                          Chemical Engineering homework question answer, step 2, image 1                                                         ....... (1)

d = Distance required

v = Mean velocity in river

t =Time for waste dissipation

Step 3

Let water discharge flow rate = Q. In the MKS units it is given as,

                                            Chemical Engineering homework question answer, step 3, image 1

Step 4

The chemical concentration of the diluted wastewater mixture is given as,

                                                        Chemical Engineering homework question answer, step 4, image 1                                    ....... (2)

The notations used in equation (2) are,

CW = Chemical concentration of the diluted mixture of wastewater

C1 = Stream concentration

C2 = Wastewater concentration

Q1 = Flow rate of the stream

Q2 = Flow rate of the discharge water = Q      

Step 5

The data given is,

                                Chemical Engineering homework question answer, step 5, image 1

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