You represent an industrial client who discharges a sewage effluent with a mass flow rate of 10 kg/s of total organic carbon (TOC) into the Rahway River. The stretch of river is straight and has a flow rate of 1 cubic meter / sec in a channel that has a cross section of 10 square meters. The TOC will degrade via a first order decay process with a rate coefficient of 0.25 hr-1. There is a water intake located 2 km downstream that cannot have more than 2 ppm of TOC in their water. Assume plug flow in the stream and the only process that occurs is the decay. Is my discharge going to have an impact on the downstream water intake?

small = small current large mag large current

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day